Smart Math guide · Fractions, Decimals & Percent

Successive Percent Changes Multiply

Repeated percentage changes apply to the updated amount, so they do not simply add.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Convert each change to a multiplier.
  2. Multiply the multipliers.
  3. Compare the combined multiplier with 1.
Worked example

See it in action

+20% then −20% gives 1.2×0.8=0.96, a net 4% decrease.

Check your thinking

How to verify it

Start with 100: 120 then 96.