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How to Convert a Fraction to a Percent (With Examples)

How to Convert a Fraction to a Percent (With Examples) — illustration
In short: Divide the top by the bottom, then multiply by 100. For 3/8 that is 3 ÷ 8 = 0.375, and 0.375 × 100 = 37.5%.

The method

A percent is a fraction out of 100. To convert, divide the numerator by the denominator to get a decimal, then multiply by 100 (move the decimal point two places right).

3/8 as a percent
Answer37.5%
  • 3 is 37.5% of 8
Step-by-step working 2 steps
  1. 1
    Divide the part by the whole
    3 ÷ 8 = 0.375
  2. 2
    Multiply by 100 to get a percent
    0.375 × 100 = 37.5%

Fractions with a denominator that divides 100

If the denominator divides 100 you can scale directly: 7/20 = 35/100 = 35%. Multiply top and bottom by 5.

Repeating results

5/6 = 0.833333… = 83.333333% (shown rounded). The decimal repeats, so the percent does too; round to a sensible number of places.

5/6 as a percent
Answer83.333333%
  • 5 is 83.333333% of 6
Step-by-step working 2 steps
  1. 1
    Divide the part by the whole
    5 ÷ 6 = 0.83333333
  2. 2
    Multiply by 100 to get a percent
    0.83333333 × 100 = 83.333333%

Mixed numbers and improper fractions

Convert 1 1/4 to 5/4, then divide: 5 ÷ 4 = 1.25, so 125%. Values over 100% are normal for improper fractions.

Keep a handy list in the fraction to decimal chart and the percent to fraction chart.

Frequently asked questions

How do I convert 3/4 to a percent?

3 ÷ 4 = 0.75, and 0.75 × 100 = 75%.

How do I convert a percent back to a fraction?

Write it over 100 and simplify: 40% = 40/100 = 2/5.

Written and reviewed by Mateuss M.

Mateuss M. writes and reviews mathematical content for CalcSolver, focusing on online calculators, formulas, equations, and practical math tools. He reviews calculator functionality, calculation methods, formulas, examples, and explanations to help ensure that each tool is clear, useful, and easy to understand.

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