Percentages, Discounts & Sales Tax

Percentage Decrease Formula With Examples

Subtract the new value from the original value, divide the decrease by the original value, and multiply by 100.

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Quick answer

Subtract the new value from the original value, divide the decrease by the original value, and multiply by 100.

Formula or method

Percentage decrease = (old − new) ÷ old × 100%

Step-by-step

  1. Find the decrease: old value − new value.
  2. Divide the decrease by the original value.
  3. Multiply by 100 to express the result as a percent.

Worked example

A price falls from $80 to $68. The decrease is $12. 12 ÷ 80 × 100 = 15% decrease.

How to interpret the result

Always divide by the original value for a standard percent-change calculation. Using the new value changes the denominator and produces a different percentage.

Common mistakes

  • Dividing by the new value.
  • Dropping the ×100 step.
  • Confusing a 15 percentage-point drop with a 15% decrease.

Frequently asked questions

What is the percentage decrease from 100 to 80?

20%.

What is the decrease from 80 to 68?

15%.

Can percent decrease exceed 100%?

Not when both old and new values are nonnegative and the new value is zero or greater; a fall to zero is a 100% decrease.