Reverse Percentage Calculator
Find the original value before a percentage was applied.
How to use
Result
100.00
120 after 20% → original was 100.00
Step-by-step
Tab to move between fields · Results update instantly as you typeResults update instantly as you type
How to Reverse a Percentage
Sometimes you know the final price after a percentage was added (like tax or a markup) and need to work backwards to find the original amount. This is called a reverse percentage calculation. Instead of multiplying, you divide — undoing the percentage that was applied.
The Formula: Original = Final Value ÷ (1 + Percentage ÷ 100)
For decreases, use a negative percentage. If a price dropped 25% to land at $75, enter 75 and −25 to find the original was $100.
Real-World Uses
- Tax-inclusive pricing: A receipt shows $59.99 including 8% sales tax. The pre-tax price is $59.99 ÷ 1.08 = $55.55. For VAT-specific calculations, use our VAT Calculator.
- Salary after raise: Your new salary is $68,000 after a 6% raise. Your previous salary: $68,000 ÷ 1.06 = $64,150.94.
- Investment returns: A portfolio is now worth $13,200 after a 10% gain. The starting value: $13,200 ÷ 1.10 = $12,000.
- Deflated prices: A house is listed at $380,000 after a 5% decline. Original value: $380,000 ÷ 0.95 = $400,000.
Why Simple Subtraction Doesn't Work
A common mistake is subtracting the percentage from the final value directly. If $120 includes a 20% increase, subtracting 20% of $120 ($24) gives $96 — not the correct $100. The percentage was applied to the original value, not the final one. This calculator handles the math correctly every time.
To calculate the forward direction — applying a percentage increase — use our Percentage Increase Calculator. For a broader foundation, read How to Calculate a Percentage.
Common Reverse Percentage Examples
Working backwards from a known final value. Click any row to load the values in the calculator.
| Final value & % | Math | Original | |
|---|---|---|---|
| $120 with 20% added | $120 ÷ 1.20 | $100.00 | Open |
| $108 with 8% tax | $108 ÷ 1.08 | $100.00 | Open |
| $240 with 20% VAT | $240 ÷ 1.20 | $200.00 | Open |
| $80 after 20% discount | $80 ÷ 0.80 | $100.00 | Open |
| $75 after 25% discount | $75 ÷ 0.75 | $100.00 | Open |
| $150 after 50% off | $150 ÷ 0.50 | $300.00 | Open |
| $53,000 after 6% raise | $53,000 ÷ 1.06 | $50,000.00 | Open |
Frequently Asked Questions
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