Smart Math guide · Everyday Math

Use the Rule of 72 as an Estimate

For moderate percentage growth rates, 72 divided by the annual rate gives a rough doubling time.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Use the rate as a percent number, not decimal.
  2. Compute 72/rate.
  3. Treat it as an approximation and compare with exact compound growth when accuracy matters.
Worked example

See it in action

At 8% growth, doubling time ≈72/8=9 years.

Check your thinking

How to verify it

Exact annual compounding doubles in about 9.0 years.

Watch out

Common mistake

The rule is approximate and less accurate at very high or unusual rates.