Convert Fractions to Percents

Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.

The Simplest Method is to Use a Calculator

calculator

Steps:

  • Divide the top of the fraction by the bottom,
  • Then multiply the result by 100 and read off the answer !

Example: What is 5 8 as a percent?

Get your calculator and type in "5 ÷ 8 =", the calculator should show 0.625

Then multiply by 100 and your answer is: 62.5%

(remember to put the "%" so people know it is "per 100")

OR you can multiply the top by 100 first then divide by the bottom number:

Example: What is 5 8 as a percent?

Multiply 5 by 100 first, then divide by 8

500 ÷ 8 = 62.5

Add the "%" sign:

62.5%

Or Move the Decimal 2 Places

Instead of multiplying by 100 it can be easier to move the decimal point 2 places to the right

Example: Convert 1/8 to a percentage

Divide 1 by 8:

1 ÷ 8 = 0.125

Move the decimal point 2 places to the right

decimal to percent

Remember to add the "%" sign: 12.5%

Another (Harder) Method

Percent means "per 100", so try to change the fraction to  ? 100  form.

Follow these steps:

Step 1: Find a number you can multiply the bottom of the fraction by to get 100.
Step 2: Multiply both top and bottom of the fraction by that number.
Step 3. Then write down just the top number with the "%" sign.

 

Example 1: Convert 3 4 to a Percent

Step 1: We can multiply 4 by 25 to become 100

(why 25? because 100 divided by 4 is 25)

Step 2: Multiply top and bottom by 25:

×25
right over arrow
3 4   =   75 100
right under arrow
×25

Step 3: Write down 75 with the percent sign:

Answer = 75%

Example 2: Convert 3 16 to a Percent

Step 1: We have to multiply 16 by 6.25 to become 100

(why 6.25? because 100 divided by 16 is 6.25)

Step 2: Multiply top and bottom by 6.25:

×6.25
right over arrow
3 16   =   18.75 100
right under arrow
×6.25

Step 3: Write down 18.75 with the percentage sign:

Answer = 18.75%

Yet Another Method

Because a percent is actually a ratio (parts per 100) we can also use Proportions to do the conversion.

First, put what you know into this form:

Top of Fraction Bottom of Fraction   =   Percent 100

Then solve using "multiply across the known corners, divide by the third number":

Example: Convert 3 16 to percent

Fill in what you know:

3 16   =   Percent 100

Multiply across the known corners, then divide by the third number. The "known corners" are top left and bottom right:

Percent = (3 × 100) / 16
= 300 / 16
= 18.75%

Answer: 3 16 is 18.75% (same answer as the previous example!)