Percentage guide

How to Calculate Percentage Decrease

Percentage decrease = (original − new) ÷ original × 100.

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Formula and worked example

Percentage decrease = (original − new) ÷ original × 100

From 120 to 90: the drop is 30. Divide 30 by the original 120 and multiply by 100 = 25%.

Apply a percentage decrease

Multiply by 1 − p/100. Reducing $75 by 20% gives 75 × 0.80 = $60. To recover an original value, divide by the remaining multiplier.

Common mistake

Use the original value as the baseline for relative change. A percentage calculation can give a different answer when the denominator changes.

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Sources & methodology

The formulas are displayed so the result can be checked manually. NIST defines the percent symbol as representing 0.01. The UK Office for National Statistics defines a percentage point as the difference between percentages.