How do I find the original value after a percentage increase?

Divide the final value by 1 plus the percentage. If 115 is the result of a 15% rise, the original is 115 ÷ 1.15 = 100.

And after a decrease?

Divide by 1 minus the percentage. If 85 is the result of a 15% fall, the original is 85 ÷ 0.85 = 100.

Why not just take the percentage off the final value?

The percentage was calculated on the original, not on the final value, so 15% of 115 is not the amount that was added.

What if the fall is 100%?

Nothing would be left, so the original can't be found. The calculator says so.

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Percent

Original value

100

115 ÷ (1 + 15 ÷ 100) = 100

Amount it rose by: 15

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Frequently asked questions

How do I find the original value after a percentage increase?: Divide the final value by 1 plus the percentage. If 115 is the result of a 15% rise, the original is 115 ÷ 1.15 = 100.
And after a decrease?: Divide by 1 minus the percentage. If 85 is the result of a 15% fall, the original is 85 ÷ 0.85 = 100.
Why not just take the percentage off the final value?: The percentage was calculated on the original, not on the final value, so 15% of 115 is not the amount that was added.
What if the fall is 100%?: Nothing would be left, so the original can't be found. The calculator says so.

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