How do you reverse a discount?

Divide the final value by (1 minus the percentage as a decimal).

Why can’t you just subtract the percentage?

Because percentages are relative, reversing requires division not subtraction.

It finds the original value before a percentage increase or decrease.

Final value

Percentage (%)

Mode

Results are estimates for informational purposes only and may be rounded.

This calculator helps you find the original value before a percentage increase or discount was applied.

It is commonly used in retail pricing, VAT calculations, financial analysis, and business decision-making.

Reverse percentage calculations are essential when you only know the final value and need to work backwards.

This is one of the most important percentage calculations for understanding true costs and pricing.

The result shows the original value before the percentage change was applied.

This is calculated by reversing the percentage effect using division.

This ensures accuracy, as percentages are relative changes.

Discount: Final ÷ (1 − percentage)

Increase: Final ÷ (1 + percentage)

This reverses the percentage effect instead of simply subtracting it.

Many people incorrectly try to subtract percentages to find original values.

However, because percentages are relative, the correct method is division.

This is especially important in pricing and VAT calculations.

Example 1 (Discount):
£80 after 20% discount → £100 original

Example 2 (Increase):
£132 after 10% increase → £120 original

Example 3 (Retail):
£60 sale price after 25% discount → £80 original

Example 4 (VAT):
£120 including 20% VAT → £100 original price

It finds the original value before a percentage change.

Divide by (1 − percentage).

Because percentages are relative, not absolute.