Solution for 33 is what percent of 40

What is 33 out of 40 as a percentage?

= 82.50%

33 percent *40

= (33/100)*40

= (33*40)/100

= 1320/100 = 13.2

Now we have: 33 percent of 40 = 13.2

Question: What is 33 percent of 40?

We need to determine 33% of 40 now and the procedure explaining it as such

Step 1: In the given case Output Value is 40.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 40 = 100%.

Step 4: In the Same way, x = 33%.

Step 5: On dividing the pair of simple equations we got the equation as under

40 = 100% (1).

x = 33% (2).

(40%)/(x%) = 100/33

Step 6: Reciprocal of both the sides results in the following equation

x%/40% = 33/100

Step 7: Simplifying the above obtained equation further will tell what is 33% of 40

x = 13.2%

Therefore, 33% of 40 is 13.2

As per our online percentage calculator tool, 33 out of 40 is 82.5 percent. It is not hard to calculate percentage of 33 out of 40. You can easily calculate this using our online tool. In our percentage calculator tool given above, you need to enter 33 in first input field and 40 in the second input field. The third input field will show 82.5 as the result of the calculation. Our percentage calculator tool can be used to calculate percentage of marks based on total marks and marks you have received in the exam, discount on your purchase based on the actual price of the product and price you are supposed to pay, discount on mortgage payment based on the original amount and payable amount, discount on insurance premium payment based on the actual amount and payable amount or any day to day percentage calculation job in any financial sector. For detailed breakdown of the percentage calculation method, please have a look over steps given below.

33 is 82.5 percent out of 40, easy solution given below to calculate 33 is what percent of 40:

Step 1: We assume that 40 is 100% since it is our output value.

Step 2: We next display the value we want with

Step 3: From step 1 above, it means

Step 4: In a similar way,

Step 5: This gives us 2 simple equations:

Equation 1:

Equation 2:

Step 6: By simply dividing equation 1 by equation 2, we have

Step 7: The inverse (or reciprocal) of both sides results

This means 33 is 82.5% of 40

33 of 40 is 82.5%

Steps to solve "what percent is 33 of 40?"

1. 33 of 40 can be written as:
   33/40
2. To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

   33/40 × 100/100

3. = (33 × 100/40) × 1/100 = 82.5/100
4. Therefore, the answer is 82.5%

   If you are using a calculator, simply enter 33÷40×100 which will give you 82.5 as the answer.

MathStep (Works offline)

More percentage problems: 66 of 40 33 of 80 99 of 40 33 of 120 165 of 40 33 of 200 231 of 40 33 of 280 33% of what number is 40 33 percent of 40

Find another

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 33 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 82.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 33 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

33/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

33/40 × 100/100 = 82.5/100

82.5 = Percent

And that means you ended up eating 82.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 33

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 33

Step 3: Multiply both sides by 33 to isolate Y on the right side of the equation: 33 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 82.5 = Y

This leaves us with our final answer: 33 is 82.5 percent of 40

Page 2

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 3 cookies from those, and you ended up eating 34 of them! What percent of the cookies have you eaten?

Answer: 8.824 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 3 on top and 34 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

3/34 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

3/34 × 100/100 = 8.824/100

8.824 = Percent

And that means you ended up eating 8.824 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 34 = Y% / 3

Step 2: Drop the percentage marks to simplify your calculations: 100 / 34 = Y / 3

Step 3: Multiply both sides by 3 to isolate Y on the right side of the equation: 3 ( 100 / 34 ) = Y

Step 4: Computing the left side, we get: 8.824 = Y

This leaves us with our final answer: 3 is 8.824 percent of 34

Page 3

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 6 cookies from those, and you ended up eating 42 of them! What percent of the cookies have you eaten?

Answer: 14.286 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 6 on top and 42 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

6/42 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

6/42 × 100/100 = 14.286/100

14.286 = Percent

And that means you ended up eating 14.286 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 42 = Y% / 6

Step 2: Drop the percentage marks to simplify your calculations: 100 / 42 = Y / 6

Step 3: Multiply both sides by 6 to isolate Y on the right side of the equation: 6 ( 100 / 42 ) = Y

Step 4: Computing the left side, we get: 14.286 = Y

This leaves us with our final answer: 6 is 14.286 percent of 42

Page 4

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 26 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 65 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 26 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

26/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

26/40 × 100/100 = 65/100

65 = Percent

And that means you ended up eating 65 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 26

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 26

Step 3: Multiply both sides by 26 to isolate Y on the right side of the equation: 26 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 65 = Y

This leaves us with our final answer: 26 is 65 percent of 40

Page 5

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 86 cookies from those, and you ended up eating 200 of them! What percent of the cookies have you eaten?

Answer: 43 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 86 on top and 200 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

86/200 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

86/200 × 100/100 = 43/100

43 = Percent

And that means you ended up eating 43 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 200 = Y% / 86

Step 2: Drop the percentage marks to simplify your calculations: 100 / 200 = Y / 86

Step 3: Multiply both sides by 86 to isolate Y on the right side of the equation: 86 ( 100 / 200 ) = Y

Step 4: Computing the left side, we get: 43 = Y

This leaves us with our final answer: 86 is 43 percent of 200

Page 6

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 12 cookies from those, and you ended up eating 200 of them! What percent of the cookies have you eaten?

Answer: 6 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 12 on top and 200 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

12/200 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

12/200 × 100/100 = 6/100

6 = Percent

And that means you ended up eating 6 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 200 = Y% / 12

Step 2: Drop the percentage marks to simplify your calculations: 100 / 200 = Y / 12

Step 3: Multiply both sides by 12 to isolate Y on the right side of the equation: 12 ( 100 / 200 ) = Y

Step 4: Computing the left side, we get: 6 = Y

This leaves us with our final answer: 12 is 6 percent of 200

Page 7

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 10 cookies from those, and you ended up eating 28 of them! What percent of the cookies have you eaten?

Answer: 35.714 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 10 on top and 28 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

10/28 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

10/28 × 100/100 = 35.714/100

35.714 = Percent

And that means you ended up eating 35.714 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 28 = Y% / 10

Step 2: Drop the percentage marks to simplify your calculations: 100 / 28 = Y / 10

Step 3: Multiply both sides by 10 to isolate Y on the right side of the equation: 10 ( 100 / 28 ) = Y

Step 4: Computing the left side, we get: 35.714 = Y

This leaves us with our final answer: 10 is 35.714 percent of 28

Page 8

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 17 cookies from those, and you ended up eating 85 of them! What percent of the cookies have you eaten?

Answer: 20 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 17 on top and 85 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

17/85 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

17/85 × 100/100 = 20/100

20 = Percent

And that means you ended up eating 20 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 85 = Y% / 17

Step 2: Drop the percentage marks to simplify your calculations: 100 / 85 = Y / 17

Step 3: Multiply both sides by 17 to isolate Y on the right side of the equation: 17 ( 100 / 85 ) = Y

Step 4: Computing the left side, we get: 20 = Y

This leaves us with our final answer: 17 is 20 percent of 85

Page 9

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 17 cookies from those, and you ended up eating 90 of them! What percent of the cookies have you eaten?

Answer: 18.889 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 17 on top and 90 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

17/90 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

17/90 × 100/100 = 18.889/100

18.889 = Percent

And that means you ended up eating 18.889 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 90 = Y% / 17

Step 2: Drop the percentage marks to simplify your calculations: 100 / 90 = Y / 17

Step 3: Multiply both sides by 17 to isolate Y on the right side of the equation: 17 ( 100 / 90 ) = Y

Step 4: Computing the left side, we get: 18.889 = Y

This leaves us with our final answer: 17 is 18.889 percent of 90

Page 10

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 12 cookies from those, and you ended up eating 20 of them! What percent of the cookies have you eaten?

Answer: 60 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 12 on top and 20 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

12/20 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

12/20 × 100/100 = 60/100

60 = Percent

And that means you ended up eating 60 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 20 = Y% / 12

Step 2: Drop the percentage marks to simplify your calculations: 100 / 20 = Y / 12

Step 3: Multiply both sides by 12 to isolate Y on the right side of the equation: 12 ( 100 / 20 ) = Y

Step 4: Computing the left side, we get: 60 = Y

This leaves us with our final answer: 12 is 60 percent of 20

Page 11

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 19 cookies from those, and you ended up eating 22 of them! What percent of the cookies have you eaten?

Answer: 86.364 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 19 on top and 22 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

19/22 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

19/22 × 100/100 = 86.364/100

86.364 = Percent

And that means you ended up eating 86.364 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 22 = Y% / 19

Step 2: Drop the percentage marks to simplify your calculations: 100 / 22 = Y / 19

Step 3: Multiply both sides by 19 to isolate Y on the right side of the equation: 19 ( 100 / 22 ) = Y

Step 4: Computing the left side, we get: 86.364 = Y

This leaves us with our final answer: 19 is 86.364 percent of 22

Page 12

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 19 cookies from those, and you ended up eating 26 of them! What percent of the cookies have you eaten?

Answer: 73.077 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 19 on top and 26 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

19/26 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

19/26 × 100/100 = 73.077/100

73.077 = Percent

And that means you ended up eating 73.077 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 26 = Y% / 19

Step 2: Drop the percentage marks to simplify your calculations: 100 / 26 = Y / 19

Step 3: Multiply both sides by 19 to isolate Y on the right side of the equation: 19 ( 100 / 26 ) = Y

Step 4: Computing the left side, we get: 73.077 = Y

This leaves us with our final answer: 19 is 73.077 percent of 26

Page 13

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 6 cookies from those, and you ended up eating 16 of them! What percent of the cookies have you eaten?

Answer: 37.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 6 on top and 16 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

6/16 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

6/16 × 100/100 = 37.5/100

37.5 = Percent

And that means you ended up eating 37.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 16 = Y% / 6

Step 2: Drop the percentage marks to simplify your calculations: 100 / 16 = Y / 6

Step 3: Multiply both sides by 6 to isolate Y on the right side of the equation: 6 ( 100 / 16 ) = Y

Step 4: Computing the left side, we get: 37.5 = Y

This leaves us with our final answer: 6 is 37.5 percent of 16

Page 14

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 2 cookies from those, and you ended up eating 6 of them! What percent of the cookies have you eaten?

Answer: 33.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 2 on top and 6 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

2/6 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

2/6 × 100/100 = 33.333/100

33.333 = Percent

And that means you ended up eating 33.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 6 = Y% / 2

Step 2: Drop the percentage marks to simplify your calculations: 100 / 6 = Y / 2

Step 3: Multiply both sides by 2 to isolate Y on the right side of the equation: 2 ( 100 / 6 ) = Y

Step 4: Computing the left side, we get: 33.333 = Y

This leaves us with our final answer: 2 is 33.333 percent of 6

Page 15

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 3 cookies from those, and you ended up eating 6 of them! What percent of the cookies have you eaten?

Answer: 50 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 3 on top and 6 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

3/6 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

3/6 × 100/100 = 50/100

50 = Percent

And that means you ended up eating 50 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 6 = Y% / 3

Step 2: Drop the percentage marks to simplify your calculations: 100 / 6 = Y / 3

Step 3: Multiply both sides by 3 to isolate Y on the right side of the equation: 3 ( 100 / 6 ) = Y

Step 4: Computing the left side, we get: 50 = Y

This leaves us with our final answer: 3 is 50 percent of 6

Page 16

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 32 cookies from those, and you ended up eating 160 of them! What percent of the cookies have you eaten?

Answer: 20 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 32 on top and 160 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

32/160 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

32/160 × 100/100 = 20/100

20 = Percent

And that means you ended up eating 20 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 160 = Y% / 32

Step 2: Drop the percentage marks to simplify your calculations: 100 / 160 = Y / 32

Step 3: Multiply both sides by 32 to isolate Y on the right side of the equation: 32 ( 100 / 160 ) = Y

Step 4: Computing the left side, we get: 20 = Y

This leaves us with our final answer: 32 is 20 percent of 160

Page 17

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 70 cookies from those, and you ended up eating 10 of them! What percent of the cookies have you eaten?

Answer: 700 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 70 on top and 10 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

70/10 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

70/10 × 100/100 = 700/100

700 = Percent

And that means you ended up eating 700 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 10 = Y% / 70

Step 2: Drop the percentage marks to simplify your calculations: 100 / 10 = Y / 70

Step 3: Multiply both sides by 70 to isolate Y on the right side of the equation: 70 ( 100 / 10 ) = Y

Step 4: Computing the left side, we get: 700 = Y

This leaves us with our final answer: 70 is 700 percent of 10

Page 18

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 7 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 17.5 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 7 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

7/40 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

7/40 × 100/100 = 17.5/100

17.5 = Percent

And that means you ended up eating 17.5 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 7

Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 7

Step 3: Multiply both sides by 7 to isolate Y on the right side of the equation: 7 ( 100 / 40 ) = Y

Step 4: Computing the left side, we get: 17.5 = Y

This leaves us with our final answer: 7 is 17.5 percent of 40

Page 19

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 57 cookies from those, and you ended up eating 30 of them! What percent of the cookies have you eaten?

Answer: 190 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 57 on top and 30 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

57/30 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

57/30 × 100/100 = 190/100

190 = Percent

And that means you ended up eating 190 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 30 = Y% / 57

Step 2: Drop the percentage marks to simplify your calculations: 100 / 30 = Y / 57

Step 3: Multiply both sides by 57 to isolate Y on the right side of the equation: 57 ( 100 / 30 ) = Y

Step 4: Computing the left side, we get: 190 = Y

This leaves us with our final answer: 57 is 190 percent of 30

Page 20

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 21 cookies from those, and you ended up eating 60 of them! What percent of the cookies have you eaten?

Answer: 35 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 21 on top and 60 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

21/60 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

21/60 × 100/100 = 35/100

35 = Percent

And that means you ended up eating 35 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 60 = Y% / 21

Step 2: Drop the percentage marks to simplify your calculations: 100 / 60 = Y / 21

Step 3: Multiply both sides by 21 to isolate Y on the right side of the equation: 21 ( 100 / 60 ) = Y

Step 4: Computing the left side, we get: 35 = Y

This leaves us with our final answer: 21 is 35 percent of 60

Page 21

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 27 cookies from those, and you ended up eating 50 of them! What percent of the cookies have you eaten?

Answer: 54 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 27 on top and 50 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

27/50 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

27/50 × 100/100 = 54/100

54 = Percent

And that means you ended up eating 54 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 50 = Y% / 27

Step 2: Drop the percentage marks to simplify your calculations: 100 / 50 = Y / 27

Step 3: Multiply both sides by 27 to isolate Y on the right side of the equation: 27 ( 100 / 50 ) = Y

Step 4: Computing the left side, we get: 54 = Y

This leaves us with our final answer: 27 is 54 percent of 50

Page 22

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 7 cookies from those, and you ended up eating 350 of them! What percent of the cookies have you eaten?

Answer: 2 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 7 on top and 350 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

7/350 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

7/350 × 100/100 = 2/100

2 = Percent

And that means you ended up eating 2 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 350 = Y% / 7

Step 2: Drop the percentage marks to simplify your calculations: 100 / 350 = Y / 7

Step 3: Multiply both sides by 7 to isolate Y on the right side of the equation: 7 ( 100 / 350 ) = Y

Step 4: Computing the left side, we get: 2 = Y

This leaves us with our final answer: 7 is 2 percent of 350

Page 23

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 7 cookies from those, and you ended up eating 20 of them! What percent of the cookies have you eaten?

Answer: 35 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 7 on top and 20 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

7/20 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

7/20 × 100/100 = 35/100

35 = Percent

And that means you ended up eating 35 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 20 = Y% / 7

Step 2: Drop the percentage marks to simplify your calculations: 100 / 20 = Y / 7

Step 3: Multiply both sides by 7 to isolate Y on the right side of the equation: 7 ( 100 / 20 ) = Y

Step 4: Computing the left side, we get: 35 = Y

This leaves us with our final answer: 7 is 35 percent of 20

Page 24

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 72 cookies from those, and you ended up eating 200 of them! What percent of the cookies have you eaten?

Answer: 36 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 72 on top and 200 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

72/200 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

72/200 × 100/100 = 36/100

36 = Percent

And that means you ended up eating 36 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 200 = Y% / 72

Step 2: Drop the percentage marks to simplify your calculations: 100 / 200 = Y / 72

Step 3: Multiply both sides by 72 to isolate Y on the right side of the equation: 72 ( 100 / 200 ) = Y

Step 4: Computing the left side, we get: 36 = Y

This leaves us with our final answer: 72 is 36 percent of 200

Page 25

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 20 cookies from those, and you ended up eating 280 of them! What percent of the cookies have you eaten?

Answer: 7.143 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 20 on top and 280 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

20/280 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

20/280 × 100/100 = 7.143/100

7.143 = Percent

And that means you ended up eating 7.143 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 280 = Y% / 20

Step 2: Drop the percentage marks to simplify your calculations: 100 / 280 = Y / 20

Step 3: Multiply both sides by 20 to isolate Y on the right side of the equation: 20 ( 100 / 280 ) = Y

Step 4: Computing the left side, we get: 7.143 = Y

This leaves us with our final answer: 20 is 7.143 percent of 280

Page 26

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 28 cookies from those, and you ended up eating 210 of them! What percent of the cookies have you eaten?

Answer: 13.333 percent of the cookies that she baked.

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 28 on top and 210 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

28/210 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

28/210 × 100/100 = 13.333/100

13.333 = Percent

And that means you ended up eating 13.333 Percent of the cookies that she baked.

Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 210 = Y% / 28

Step 2: Drop the percentage marks to simplify your calculations: 100 / 210 = Y / 28

Step 3: Multiply both sides by 28 to isolate Y on the right side of the equation: 28 ( 100 / 210 ) = Y

Step 4: Computing the left side, we get: 13.333 = Y

This leaves us with our final answer: 28 is 13.333 percent of 210