Percent conversions

Math

Definition

The process of converting between percentages, decimals, and fractions. To convert a percent to a decimal, divide by 100. To convert a decimal to a percent, multiply by 100.

How It Works

  1. Percent to decimal: move decimal point 2 places left (divide by 100)
  2. Decimal to percent: move decimal point 2 places right (multiply by 100)
  3. Percent to fraction: put the percent over 100 and simplify
  4. Fraction to percent: divide numerator by denominator, then multiply by 100

Examples

  • 75% = 0.75 = 3/4
  • 0.125 = 12.5% = 1/8
  • 33⅓% = 0.333... = 1/3
Key Fact

percent ÷ 100 = decimal; decimal × 100 = percent; percent/100 = fraction

Related Terms

Percent of a number Percent change Fraction operations

Study This Concept

Practice percent conversions with free review games in these units:

Pre-Algebra Unit 4: Percents