Converting Fractions to Percentages and Vice Versa: Express one number as a percentage of another

Calculate the percentage of the whole numberConvert fractions to percentagesConvert fractions with a denominator of 100 to percentagesConverting from a fraction to a percentage by multiplying the fraction by 100Converting from a percentage to a fraction with a denominator of 100
Question 1

What is of 200 out of 50 written as a percentage?

Question 2

What percentage is 64 out of 32?

Question 3

Calculate 36 over 144 as a percentage:

Question 4

What is the percentage of 118 over 4?

Question 5

What is the percentage of 130 over 25?

Examples with solutions for Converting Fractions to Percentages and Vice Versa: Express one number as a percentage of another

Exercise #1

What is of 200 out of 50 written as a percentage?

Video Solution

Step-by-Step Solution

Write the numbers in the form of a fraction:

20050 \frac{200}{50}

Now we multiply by 100 to find out the percentage:

20050×100= \frac{200}{50}\times100=

Keep in mind that 200 can be broken down into an exercise:

50×4 50\times4

That is:

50×450×100= \frac{50\times4}{50}\times100=

We simplify the two 50s in the fraction and obtain:

4×100=400 4\times100=400

Answer

400%

Exercise #2

What percentage is 64 out of 32?

Video Solution

Step-by-Step Solution

In the first step, we will convert the data we have into a fraction.

64/32 

Now we will find out that the numbers are divisible by each other,

64/32 = 2

 

To convert an integer into a percentage, multiply it by 100.

 

2*100 = 200

200%

Answer

200%

Exercise #3

Calculate 36 over 144 as a percentage:

Video Solution

Step-by-Step Solution

Let's write the numbers as fractions:

36144 \frac{36}{144}

Now let's multiply by 100 to reveal the percentage:

36144×100= \frac{36}{144}\times100=

Let's note that we can break down 144 into the following expression:

36×4 36\times4

In other words:

3636×4×100= \frac{36}{36\times4}\times100=

We can simplify the two 36s in the fraction as follows:

1004=25 \frac{100}{4}=25

Answer

25%

Exercise #4

What is the percentage of 118 over 4?

Video Solution

Answer

2950%

Exercise #5

What is the percentage of 130 over 25?

Video Solution

Answer

520%

Question 1

What is the percentage of 138 over 10?

Question 2

What is the percentage of 15 over 336?

Question 3

What is the percentage of 15 over 75?

Question 4

What is the percentage of 17 over 68?

Question 5

What is the percentage of 20 over 85?

Exercise #6

What is the percentage of 138 over 10?

Video Solution

Answer

1380%

Exercise #7

What is the percentage of 15 over 336?

Video Solution

Answer

41328% 4\frac{13}{28}\%

Exercise #8

What is the percentage of 15 over 75?

Video Solution

Answer

20%

Exercise #9

What is the percentage of 17 over 68?

Video Solution

Answer

25%

Exercise #10

What is the percentage of 20 over 85?

Video Solution

Answer

23817% 23\frac{8}{17}\%

Question 1

What is 215 over 645 expressed as a percentage?

Question 2

What is the percentage of 216 over 6?

Question 3

What is the percentage of 222 over 75?

Question 4

What is the percentage of 256 over 16?

Question 5

What is the percentage of 270 over 50?

Exercise #11

What is 215 over 645 expressed as a percentage?

Video Solution

Answer

3313% 33\frac{1}{3}\%

Exercise #12

What is the percentage of 216 over 6?

Video Solution

Answer

3600%

Exercise #13

What is the percentage of 222 over 75?

Video Solution

Answer

296%

Exercise #14

What is the percentage of 256 over 16?

Video Solution

Answer

1600%

Exercise #15

What is the percentage of 270 over 50?

Video Solution

Answer

540%

Question 1

What is the percentage of 38 over 190?

Question 2

What is the percentage of 630 over 30?

Question 3

What is the percentage of 25 over 125?

Question 4

What is the percentage of 21 over 225?

Question 5

What is the percentage of 50 over 116?

Exercise #16

What is the percentage of 38 over 190?

Video Solution

Answer

20%

Exercise #17

What is the percentage of 630 over 30?

Video Solution

Answer

2100%

Exercise #18

What is the percentage of 25 over 125?

Video Solution

Answer

20%

Exercise #19

What is the percentage of 21 over 225?

Video Solution

Answer

913% 9\frac{1}{3}\%

Exercise #20

What is the percentage of 50 over 116?

Video Solution

Answer

43329% 43\frac{3}{29}\%