This calculator works out the sale price and dollar saving when a percentage discount is applied to an original price, so you can check a shop's advertised discount or see what a stacked, multi-stage sale actually costs. You enter the original price, the discount percentage, and an optional currency symbol. If a second discount applies on top of the first, such as an extra 10 percent off an already-reduced item, you enter that too, and the calculator applies it correctly to the already-discounted price rather than simply adding the two percentages together. The results panel returns the original price, the final sale price, the dollar amount you save, and your effective combined discount rate, alongside a full breakdown showing the price after each discount stage, the saving contributed by each discount, the multiplier applied, and the final price you pay. A plain-English summary restates the outcome so you can see at a glance what a percentage-off deal is really worth in dollars. This is useful for shoppers checking whether stacked discounts genuinely add up to what is advertised, and for retailers pricing sale stock. The guide below also explains how to reverse the calculation to find an original price from a known sale price. All figures are exact arithmetic based on the numbers entered, so they do not account for GST or a retailer's own rounding rules.
A second discount is applied to the price already reduced by the first discount. Two sequential discounts are never simply added together.
A percentage discount reduces an original price by a set proportion. The two core formulas are:
For example, a $120.00 item with a 25% discount has a sale price of $120.00 x 0.75 = $90.00. The saving is $30.00.
| Step | Calculation | Result |
|---|---|---|
| Original price | Given | $120.00 |
| Discount percentage | Given | 25% |
| Multiplier | 1 - 25/100 | 0.75 |
| Sale price | $120.00 x 0.75 | $90.00 |
| Dollar saving | $120.00 - $90.00 | $30.00 |
These are the default values in the calculator above, so you can verify the output matches.
When two discounts are applied one after the other, the second applies to the already-reduced price. A 20% discount followed by a 10% discount does not equal 30% off. The effective combined discount is:
Combined = 1 - (1 - d1/100) x (1 - d2/100)
For 20% then 10%: 1 - 0.80 x 0.90 = 1 - 0.72 = 0.28, so a combined saving of 28%, not 30%. Retailers often advertise two discounts separately because "20% off, then an extra 10% off" sounds larger than "28% off".
If you know the sale price and the discount percentage and want to find the original price, divide the sale price by the multiplier:
Original price = Sale price / (1 - Discount% / 100)
For example, if an item costs $90.00 after a 25% discount, the original price was $90.00 / 0.75 = $120.00.
| Discount | Multiplier | You pay | You save |
|---|---|---|---|
| 5% | 0.95 | 95% of original | 5% |
| 10% | 0.90 | 90% of original | 10% |
| 15% | 0.85 | 85% of original | 15% |
| 20% | 0.80 | 80% of original | 20% |
| 25% | 0.75 | 75% of original | 25% |
| 30% | 0.70 | 70% of original | 30% |
| 40% | 0.60 | 60% of original | 40% |
| 50% | 0.50 | 50% of original | 50% |
| 75% | 0.25 | 25% of original | 75% |
Method: Sale price = Original price x (1 - Discount / 100). For stacked discounts, the second multiplier is applied to the post-first-discount price: Final price = Original x (1 - d1/100) x (1 - d2/100). Standard arithmetic percentage discount formula.
This calculator provides exact arithmetic results for the inputs entered. It does not account for GST, rounding to the nearest cent by retailers, or any other pricing adjustments. For NZ GST calculations, see the GST Calculator.