Percent Decrease Calculator

Enter any two values. Click Calculate to solve the third.

Inputs
Results
Initial Value
Final Value
Decrease Percentage
Difference (Δ)
Step-by-step derivation
Percent decrease from initial and final
% = 100 × (initial − final) / |initial|
Substitute values when available.
Final from initial and %
final = initial × (1 − %/100)
Substitute values when available.
Initial from final and %
initial = final / (1 − %/100)
Substitute values when available.

Use this only when the final value is lower than the initial value. If the final value is higher, use percent increase instead.

Use this Percentage Decrease Calculator to find how much a value has decreased, calculate the final value after a decrease, or work backward to find the original value.

Calculation Methods

Decrease = initial value − final value

Percentage decrease = (decrease ÷ initial value) × 100

Final value = initial value × (1 − percentage ÷ 100)

Initial value = final value ÷ (1 − percentage ÷ 100)

Example

If a value falls from 250 to 200:

Decrease = 250 − 200 = 50

Percentage decrease = 50 ÷ 250 × 100 = 20%

The value decreased by 20%.

Important Note

Use this calculation when the final value is lower than the initial value. For ordinary percentage-decrease calculations, the initial value must be nonzero.

Source

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