Smart Math guide · Fractions, Decimals & Percent

Percent Change Uses the Original

Percent change compares the difference to the starting value, not the ending value.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Find new − old.
  2. Divide by old.
  3. Multiply by 100%.
Worked example

See it in action

Price rises from 50 to 65: change=15; 15/50=30%.

Check your thinking

How to verify it

30% of 50 is 15.

Watch out

Common mistake

Using the new value as denominator answers a different question.