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Fraction to Percent Calculator

Convert a fraction to a percent — free and step by step. Numerator over denominator times 100, with the decimal step shown and the full working.

Quick answer
How do you convert a fraction to a percent?
Divide the numerator by the denominator and multiply by 100: a/b = a ÷ b · 100%. Example: 3/8 = 3 ÷ 8 · 100 = 0.375 · 100 = 37.5%. The intermediate decimal shows at a glance whether the result is sensible.
The tool

Enter values — get full working

Comma or dot as decimal separator, negative values allowed.
Step-by-step
Press Calculate to see every step.
HowTo

Fraction to percent — 3 steps

Using “3/8”
  1. 1
    Step 1 of 3

    Read the fraction as a division

    A fraction a/b means a divided by b. For 3/8 that's 3 ÷ 8.

  2. 2
    Step 2 of 3

    Divide

    Work out the division: 3 ÷ 8 = 0.375. That's the fraction as a decimal.

  3. 3
    Step 3 of 3

    Multiply by 100

    Percent means “per hundred”: 0.375 · 100 = 37.5%. Done.

Examples

Fraction to percent — worked examples

Common fractions with the full working
3/8
3 ÷ 8 = 0.375
· 100
37.5%
1/2
1 ÷ 2 = 0.5
· 100
50%
1/4
1 ÷ 4 = 0.25
· 100
25%
2/3
2 ÷ 3 = 0.6667
· 100
66.67%
5/4
5 ÷ 4 = 1.25
· 100
125%
7/20
7 ÷ 20 = 0.35
· 100
35%
Theory

Fraction, decimal and percent — the same value

Fractions, decimals and percents are three notations for the same share. A fraction a/b is the division a ÷ b; the result is the decimal form. Percent means “per hundred”, so any decimal becomes a percentage by multiplying by 100 (the point moves two places right). Hence a/b = a ÷ b · 100%. So 3/8 = 0.375 = 37.5%. When the denominator is a divisor of 100 (2, 4, 5, 10, 20, 25, 50, 100) you get an especially clean percentage. Fractions with a repeating decimal such as 2/3 = 0.6666… are rounded sensibly (66.67%). A proper fraction (numerator smaller than denominator) gives under 100%; an improper fraction (numerator larger) gives over 100%. You need this conversion when comparing shares, with grades and odds, in statistics, and anywhere percentages read more clearly than fractions.

Pitfalls

Common mistakes

Swapping numerator and denominator

3/8 is 3 ÷ 8 = 37.5%, not 8 ÷ 3. The top number is divided by the bottom.

Forgetting the · 100

3 ÷ 8 = 0.375 is only the decimal. The multiplication by 100 turns it into 37.5%.

Rounding badly

2/3 = 66.666…% — to two places 66.67%, not 66.6%. Round sensibly.

Thinking over 100% is impossible

Improper fractions like 5/4 give more than 100% (here 125%). That's perfectly correct.
FAQ

Frequently asked questions

Glossary

Glossary — key terms explained simply

Fraction
Numerator over denominator, a notation for a division a ÷ b.
Numerator
The top number of the fraction.
Denominator
The bottom number of the fraction.
Decimal
The result of the division, with a decimal point.
Percent
Hundredth; the decimal times 100.
Improper fraction
Numerator ≥ denominator; gives 100% or more.