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Reverse Percentage Calculator

🔢 Number, percentages & ratio. Use the Reverse percentage formula to find original value, value after the change, percentage change: pick the value you want, type the others, and the answer updates as you go.

original=new1+p100\text{original} = \dfrac{\text{new}}{1 + \frac{p}{100}}

Finds the price before a percentage was added or taken off.

Original value80

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Original valueno unit
Value after the changeno unit
Percentage change%

Worked example

Find the original value when Value after the change = 96, Percentage change = 20 %.

Using original = new/(1 + p/100): Original value = 80.

Frequently asked questions

What is the formula for Reverse percentage?

original = new/(1 + p/100). Finds the price before a percentage was added or taken off.

What do the letters stand for, and what units are used?

Original value, Value after the change, Percentage change in %.

How do you calculate original value?

Put the values into original = new/(1 + p/100). For example, with Value after the change = 96, Percentage change = 20 %, original value = 80.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (original value, value after the change, percentage change) and fill in the others: it rearranges the formula for you.

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