Percentage calculator
Original Price Calculator
The Original Price Calculator helps you find a price before a percentage discount or increase was applied. Enter the final price and the percentage change to recover the starting price.
Original price
100
The price before the percentage change.
Formula
Final Price / (1 − Discount / 100)Step-by-step calculation
- 1
Enter the final price after the change.
- 2
Enter the discount or increase percentage.
- 3
Divide by the applicable percentage factor to recover the original price.
Formula
After discount: Original Price = Final Price / (1 - Discount Rate / 100). After increase: Original Price = Final Price / (1 + Increase Rate / 100).
How to calculate it
- For a discounted price, divide the final price by the remaining percentage of the original price.
- For a price increase, divide the final price by one plus the increase rate expressed as a decimal.
- A 100% discount leaves a final price of zero and cannot be reversed to determine a unique original price.
Finding the price before a discount
Values: Final price = $80; Discount = 20%
Result: Original price = $80 / 0.80 = $100
Frequently asked questions
How do I calculate the original price after a discount?
Divide the discounted price by 1 minus the discount percentage divided by 100. For example, divide $80 by 0.8 to recover an original price of $100.
Can I find the original price after a 100% discount?
No. A 100% discount reduces every possible original price to zero, so the original amount cannot be uniquely recovered.
Can this calculator reverse a price increase?
Yes. Divide the increased price by 1 plus the increase percentage divided by 100.