Fraction to Percent Converter
Convert any fraction to a percentage or Decimal to Percent.
How to Convert a Fraction to a Percent
To convert any fraction to a percentage, divide the numerator by the denominator and multiply the result by 100. The word "percent" means "per hundred," so you are finding how many parts out of 100 the fraction represents. For example, 3/4 means 3 out of 4 — divide 3 by 4 to get 0.75, then multiply by 100 to get 75%. This means 3/4 is equivalent to 75 out of 100.
Fraction to Percent Formula
Percentage = (Numerator ÷ Denominator) × 100%. Alternatively, you can cross-multiply: if a/b = x/100, then x = (a × 100) / b. Both methods give the same result. For example, 5/8: x = (5 × 100) / 8 = 500 / 8 = 62.5%.
Worked Example: Convert 7/20 to a Percent
Step 1: Divide the numerator by the denominator: 7 ÷ 20 = 0.35. Step 2: Multiply by 100: 0.35 × 100 = 35%. So 7/20 = 35%. Shortcut method: since 20 × 5 = 100, multiply both numerator and denominator by 5: 7 × 5 = 35, 20 × 5 = 100, giving 35/100 = 35%.
Common Fraction to Percent Conversions
1/2 = 50% · 1/3 = 33.33% · 2/3 = 66.67% · 1/4 = 25% · 3/4 = 75% · 1/5 = 20% · 2/5 = 40% · 3/5 = 60% · 4/5 = 80% · 1/6 = 16.67% · 5/6 = 83.33% · 1/8 = 12.5% · 3/8 = 37.5% · 5/8 = 62.5% · 7/8 = 87.5% · 1/10 = 10% · 1/12 = 8.33% · 1/16 = 6.25% · 1/20 = 5% · 1/25 = 4%.
Technical Details
Some fractions produce exact percentages (like 1/4 = 25%), while others produce repeating decimals (like 1/3 = 33.333...%). A fraction a/b yields a terminating percentage only when b (in lowest terms) has no prime factors other than 2 and 5. This tool displays up to 6 decimal places for precision. In practice, percentages are used in finance (interest rates, tax rates), statistics (probability, survey results), science (concentration, efficiency), and everyday contexts like discounts and tips.
Frequently Asked Questions
What is 3/4 as a percent? 3 ÷ 4 = 0.75, and 0.75 × 100 = 75%. How do you convert an improper fraction to a percent? The same way — divide and multiply by 100. For example, 5/4 = 1.25 × 100 = 125%. Can a percentage be greater than 100%? Yes, any fraction greater than 1 (where the numerator exceeds the denominator) converts to a percentage above 100%. For example, 7/4 = 175%. What is 1/3 as a percent? 1 ÷ 3 = 0.3333..., so 1/3 ≈ 33.33%. The exact value is 33⅓%, which is a repeating decimal.