Discount Percentage Calculator
Find what percent off a sale price is.
Result
How it is calculated
Enter the original price and the final (sale) price in the same currency. The tool computes saved = original − final and discount % = (original − final) ÷ original × 100. The percentage is always measured against the original price, not the sale price. The original price must be above zero, otherwise no result is shown. The final price is not restricted: a final price of 0 gives 100%, and a final price higher than the original produces a negative discount and a negative amount, which is effectively a price increase. Amounts are displayed in dollars with two decimals; the percentage is shown with two decimals as well. Taxes, shipping and coupon stacking are not modelled.
Worked example
A jacket normally costs 80 and is on sale for 60. Amount saved = 80 − 60 = $20.00. Discount percentage = 20 ÷ 80 × 100 = 25.00%. Note that going back from 60 to 80 is a 33.3% increase, not 25%, because the base changes.
Common mistakes
- Swapping the two prices. Putting the sale price in the original field divides by the wrong base and gives a negative percentage.
- Dividing by the sale price instead of the original price. A 25% discount is 20 off 80, not 20 off 60 (which would be 33%).
- Assuming successive discounts add up. A 20% cut followed by another 10% cut is not a 30% discount, since the second is taken from the already reduced price; enter the starting and final prices to see the real total.
- Comparing prices that include tax with prices that exclude it, which distorts the percentage.
- Expecting this tool to find a final price from a known percentage. It goes from two prices to a percentage only.
Sources
- 6.2 Discounts, Markups, and Sales Tax (Contemporary Mathematics) — OpenStax, Rice University
About this calculator
This calculator works out both the percentage discount and the actual amount saved when you know the original price and the sale price, using the formula ((original − sale) ÷ original) × 100. Applying a known percentage to an original price to get the final price is the reverse calculation, handled separately.
Shoppers use it to compare "30% off" versus "40% off" deals that are phrased differently across stores, while retailers and resellers use it to set markdown prices or verify that an advertised discount matches the actual price cut. It removes the mental math needed to spot which sale is genuinely the better deal.
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Comments (1)
The percentage is always measured against the original price, which is why stacked discounts do not simply add. A 20% cut followed by a further 10% off the new price saves 28%, not 30%: enter the original and the final price and you will see it. A negative percentage means the final price is higher than the original. Do you compare store offers by percentage or by the amount saved?