If you know the final value after a percentage increase or decrease, this calculator helps you recover the original value. It is especially useful for discounts, VAT-inclusive prices, sale campaigns, markups, and reverse percentage exercises where the starting amount is missing but the final amount and percentage are known.
Divide the final discounted price by 1 minus the discount rate. Example: 80 after 20% discount means original = 80 / 0.8 = 100.
Yes. If the final value comes after an increase, divide by 1 plus the percentage rate.
Because the percentage change was applied to the original value, not to the final value. To reverse the calculation correctly, you must divide by the proper factor such as 0.8 or 1.2.
Formulas: Original value after an increase = Final / (1 + p/100) | Original value after a decrease = Final / (1 − p/100)
Example: A product costs 80 after a 20% discount. Original value = 80 / 0.80 = 100.
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