Calculate sale price, savings, and original price from any discount.
| Discount | You pay | You save |
|---|---|---|
| 10% off | 90% | 10% |
| 20% off | 80% | 20% |
| 25% off | 75% | 25% |
| 30% off | 70% | 30% |
| 50% off | 50% | 50% |
| 75% off | 25% | 75% |
To calculate a discount, multiply the original price by the discount percentage divided by 100. Then subtract the result from the original price to get the sale price. For example, a 30% discount on a $200 item: $200 × 0.30 = $60 discount, so the sale price is $200 − $60 = $140.
If you know the sale price and the discount percentage, you can find the original price by dividing the sale price by (1 − discount/100). For example, if an item is on sale for $75 after a 25% discount: $75 ÷ (1 − 0.25) = $75 ÷ 0.75 = $100 original price.
A discount is a temporary reduction in price, often used for promotions or sales. A markdown is a permanent reduction in the selling price of an item, typically used when clearing old inventory.
Multiple discounts are not simply added together. For a 20% then 10% discount: first apply 20% off ($100 → $80), then apply 10% off the new price ($80 → $72). The combined effect is 28% off, not 30%.
Subtract the sale price from the original price, divide by the original price, then multiply by 100. For example: original $80, sale $60 → ($80 − $60) ÷ $80 × 100 = 25% discount.