Fraction to Percent Converter

Direction

Numerator

Denominator

Result

As a percentage37.5%
As a fraction—
Decimal0.375
Rounded37.5%
Formula3 ÷ 8 × 100
In hundredths—

A percent is just hundredths

Turns a fraction into a percentage and any percentage back into a fully simplified fraction.

A percent is a hundredth by definition, so both directions are about hundreds. Fraction to percent: divide, then multiply by a hundred. Percent to fraction: write it over a hundred and simplify.

A handful of values are worth memorising because they turn up everywhere: 1/2 is 50 percent, 1/4 is 25, 1/3 is 33.(3), 1/8 is 12.5, 3/4 is 75. Those cover most everyday estimates without any arithmetic.

What this calculator shows

The exact percentage and a version rounded to one decimal
The reverse conversion into a simplified fraction
The decimal form as the intermediate step

What to keep in mind

Fractional percentages are supported: 37.5 percent becomes exactly 3/8 with nothing lost.
Simplification uses the greatest common divisor, so the fraction always comes back in lowest terms.

FAQs

Why is 1/3 33.33 percent rather than 33?

Because a third does not divide into a hundred evenly. The exact value is 33.(3) percent. Three thirds round to 99.99, which is where reporting discrepancies come from.

How do I convert a percentage to a fraction by hand?

Write it over a hundred and simplify: 40/100 = 2/5. For a decimal percentage, clear the point first: 12.5/100 = 125/1000 = 1/8.

Which fractions are worth knowing by heart?

1/2 = 50%, 1/3 ≈ 33.3%, 1/4 = 25%, 1/5 = 20%, 1/8 = 12.5%, 2/3 ≈ 66.7%, 3/4 = 75%. That set covers most mental estimates.

Can a percentage above 100 be a fraction?

Certainly: 150 percent is 3/2, or one and a half. The fraction simply becomes improper.

Worked example

Three eighths

Input: 3/8

Output: 37.5%

Note: Reversed, 37.5 percent becomes exactly 3/8. This is one of those values where the decimal in the percentage is not sloppiness but necessity.

Useful links

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Fraction to Percent Converter

Result

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