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Reverse Percentage Calculator

A preset of Percentage Calculator

Work backwards from a final figure to the original — find the pre-discount price, the pre-VAT amount, or the value before a percentage rise. This is the calculation people most often get wrong by simply adding the percentage back.

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How to percentage calculator

  1. 1

    Pick your calculation

    Choose the type that matches your question — the inputs change to suit it.

  2. 2

    Enter the numbers

    Results update as you type; there is no submit button.

  3. 3

    Check the working

    Every result shows the formula and the substituted values, so you can verify it.

Checking a receipt or an invoice against the tax actually charged

A price that already includes VAT or sales tax hides the pre-tax amount inside a single combined figure, and reconstructing that pre-tax number is exactly the reverse-percentage calculation — dividing the total by one plus the tax rate rather than trying to subtract a percentage of the total itself, which would use the wrong base and produce a slightly incorrect answer. This is the same underlying arithmetic as recovering a pre-discount price, just running in the opposite direction: a discount reduces a starting price down to a final one, while tax increases a pre-tax amount up to a final one, and reversing either one means correctly identifying which figure the percentage was originally calculated against.

Spotting an error on an itemised bill or invoice

Reverse-calculating the pre-tax subtotal from a total and a known tax rate, then comparing it against a subtotal figure printed separately on the same receipt or invoice, is a quick way to catch a tax calculated at the wrong rate or applied to the wrong line items — a discrepancy between the two numbers is a concrete signal something on the document does not add up correctly, worth querying before paying rather than after passing it along further.

Frequently asked questions

How do I calculate a percentage of a number?

Multiply the number by the percentage and divide by 100. For 15% of 240: 240 × 15 ÷ 100 = 36. The "Percentage of" mode does this for you and shows the working.

What is the difference between percentage change and percentage points?

If a rate rises from 4% to 6%, that is a 2 percentage-point rise but a 50% increase. News reports mix these up constantly. Use percentage points when comparing two percentages, and percentage change when comparing two quantities.

Why is a 50% increase not cancelled by a 50% decrease?

Because each is applied to a different base. 100 increased by 50% is 150; 150 decreased by 50% is 75, not 100. To reverse a 50% increase you must decrease by 33.3%. The "Reverse percentage" mode handles this.

How do I find the original price before a discount?

Divide the discounted price by (1 − discount ÷ 100). A £60 item after 25% off was £60 ÷ 0.75 = £80. Reverse percentage mode does exactly this.