Discount Calculator
This discount calculator works in two directions. In the first mode you enter an original price and a discount percentage, and it instantly returns the final price you pay plus the amount you save. In the second mode you enter the original price and the price you actually paid, and it tells you what percentage discount that represents. It is handy for sales, coupons, clearance tags, and quick price comparisons while you shop, whether online or in a store, so you always know the real bargain.
The final price is the original price minus the discount. In the second mode, the percentage is derived from the original price and the final price. Values are shown as plain numbers, with no fixed currency.
Final price
Discount applied
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How it works
To apply a discount, the calculator multiplies the original price by one minus the discount rate: final price = original × (1 − percent ÷ 100). The saving is simply the original price minus the final price. To find the discount percentage between two prices, it divides the final price by the original price, subtracts that ratio from one, and multiplies by 100: percent = (1 − final ÷ original) × 100. The saving is again the original minus the final price. Both calculations update automatically as you type.
Final price for common discounts
On a price of 100, seeing how the final price and the saving change with different percentages helps you estimate any markdown at a glance. For another price, just multiply: 30% off 250 leaves 250 × 0.70 = 175.
| Discount | Final price (on 100) | Saving |
|---|---|---|
| 10% | 90 | 10 |
| 20% | 80 | 20 |
| 30% | 70 | 30 |
| 50% | 50 | 50 |
| 70% | 30 | 70 |
Chained discounts do not add up
A very common mistake is to add two successive discounts. A 20% followed by a 10% is not 30%: the second discount applies to the already reduced price. In practice, the price is multiplied by 0.80 and then by 0.90, giving 0.72; that is a combined 28% discount, not 30%. The more discounts you chain, the larger the gap from the simple sum.
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Preguntas frecuentes
- How do I calculate a 20% discount on a price?
- Multiply the price by 0.20 to get the discount amount, then subtract it from the original price. For example, 20% off $80 is $80 × 0.20 = $16 off, leaving a final price of $64. A quicker shortcut is to multiply directly by 0.80 (that is, 1 − 0.20), which also gives $64.
- How do I find the discount percentage between two prices?
- Divide the final price by the original price, subtract the result from 1, and multiply by 100. For instance, if an item dropped from $50 to $35, then 1 − (35 ÷ 50) = 0.30, which is a 30% discount. The second mode of this calculator does exactly that for you.
- How do successive discounts work?
- Successive discounts are applied one after another to the already reduced price, not added together. A 20% discount followed by a 10% discount does not equal 30% off. Instead the price is multiplied by 0.80 and then by 0.90, giving 0.72, which is a combined 28% discount off the original price.
- How do I work backwards from a final price to the original price?
- If you know the final price and the discount percentage, divide the final price by (1 − percent ÷ 100). For example, a final price of $64 after a 20% discount means the original was $64 ÷ 0.80 = $80. This is useful when a tag only shows the sale price.
- Does the calculator include taxes?
- No. The calculator works purely with the prices you enter and the discount applied to them. If your prices already include tax, the result also includes tax; if they are pre-tax, so is the result. Any sales tax or VAT would be added separately after the discount.