Discount Percentage Calculator Online
Discount Calculator
Calculate Discount
The discount calculator finds the sale price, amount saved, and final price after a percentage discount. It also works in reverse: enter the original price and sale price to find what percentage discount was applied.
Discount Formulas
| Calculation | Formula | Example |
|---|---|---|
| Amount saved | Original price x Discount % / 100 | 20% off $80 = $16 saved |
| Sale price | Original price - Amount saved | $80 - $16 = $64 |
| What % discount? | ((Original - Sale) / Original) x 100 | ($80 - $64) / $80 = 20% |
| Original price from sale price | Sale price / (1 - Discount % / 100) | $64 / 0.80 = $80 |
Quick Discount Reference
| Discount | $50 | $100 | $150 | $200 | $500 |
|---|---|---|---|---|---|
| 10% | $45 | $90 | $135 | $180 | $450 |
| 20% | $40 | $80 | $120 | $160 | $400 |
| 25% | $37.50 | $75 | $112.50 | $150 | $375 |
| 30% | $35 | $70 | $105 | $140 | $350 |
| 40% | $30 | $60 | $90 | $120 | $300 |
| 50% | $25 | $50 | $75 | $100 | $250 |
Stacked Discounts
When two discounts apply, they do not simply add together. A 20% discount followed by a 10% discount is not 30% off. You lose 20% first, then 10% of the remaining 80%. Result: 20% + (10% x 80%) = 20% + 8% = 28% total discount, not 30%. Use this calculator for each discount in sequence for the correct result.
Stacked Discount = 1 - (1 - D1) x (1 - D2)
D1 and D2 as decimals. 20% then 10%: 1 - (0.80 x 0.90) = 1 - 0.72 = 28% total discount.
Frequently Asked Questions
How do I calculate a percentage discount?⌄
Multiply the original price by the discount percentage divided by 100. Then subtract from the original price. For 25% off $120: $120 x 0.25 = $30 off. Sale price = $120 - $30 = $90. Or multiply directly: $120 x 0.75 = $90.
What is 20% off $80?⌄
20% of $80 = $16. So 20% off $80 = $80 - $16 = $64. Alternatively: $80 x 0.80 = $64. Multiply the original price by (1 - discount percentage as decimal) for the fastest calculation.
How do I find the original price after a discount?⌄
Divide the sale price by (1 minus the discount as a decimal). If a $75 item had 25% off: original price = $75 / (1 - 0.25) = $75 / 0.75 = $100.
What percentage off is an item if the original is $120 and the sale price is $90?⌄
Subtract the sale price from the original: $120 - $90 = $30 saved. Divide by original: $30 / $120 = 0.25. Multiply by 100 = 25% off.