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Find the original value before a percentage increase or decrease. Calculate starting prices, initial amounts, and pre-change values.
Formula: Original = Final / (1 + %/100)
Example: $120 after 20% increase = $120 / 1.20 = $100
Enter values to find original value
If the sale price is $80 after a 20% discount, divide by (1 - 0.20): $80 / 0.80 = $100. The original price was $100.
Divide the new price by 1.20: $120 / 1.20 = $100. The original price was $100.
Because the percentage applies to the original value, not the final value. After a 20% increase to $120, subtracting $24 (20% of $120) gives $96, not $100. You must divide: $120 / 1.20 = $100.
If the new salary is $60,000 after a 15% raise, divide by 1.15: $60,000 / 1.15 = $52,173.91. The original salary was approximately $52,174.
Work backwards through each change. If the final is $132 after +10% then +20%: First undo the 20%: $132/1.20 = $110. Then undo the 10%: $110/1.10 = $100.
Yes! If you weigh 180 lbs after losing 10%, your original weight was: 180 / 0.90 = 200 lbs.
Reverse percentage calculations help you find the original value when you know the final value and the percentage change. This is essential for determining original prices before discounts, initial amounts before increases, and starting values in many financial and mathematical contexts.