Library/Arithmetic/Percentages

Percentages

Practice
Overview
Important

A percentage represents a ratio or fraction with a denominator of 100. To convert between percentages, decimals, and fractions, use the relationships: 1% = 1/100 = 0.01. Calculating percentage increase or decrease involves finding the difference, dividing by the original value, and converting to a percent.

Important properties

  • To find x% of a number n, compute (x/100) × n.

  • To convert a fraction to a percentage, multiply by 100.

  • Percentage increase: ((new value - original value)/original value) × 100%.

  • Percentage decrease: ((original value - new value)/original value) × 100%.