How the Percentage Discount Calculator works
This tool answers the everyday shopping question: if an item is marked down by a given percentage, how much do you actually save, and what do you pay? It uses the standard percentage-discount formula, with optional support for a second stacked discount (coupon on top of a sale) and sales tax applied afterward.
The formula
For an original price P and a discount rate d (as a percent), the amount saved and the sale price are:
Discount Amount = P x (d / 100)
Sale Price = P - Discount Amount = P x (1 - d / 100)
If a second discount is applied on top of the first — a loyalty coupon stacked on a storewide sale, for example — it is calculated on the already-discounted price, not the original price: Sale Price = P x (1 - d1/100) x (1 - d2/100). Sales tax, when entered, is applied to that final sale price by default, matching how most US retailers compute tax at checkout.
Worked example
Take a $100 item marked 20% off. The discount amount is $100 x 0.20 = $20, so the sale price is $80. Add a stacked 10% coupon on top: $80 x 0.10 = $8 more off, leaving a final sale price of $72 — a combined effective discount of 28% off the original $100, not 30%. With a 7% sales tax on that $72, the final price at checkout is $77.04.
What moves the savings most
- The discount rate: savings scale directly with the percentage — doubling the discount rate roughly doubles the dollar amount saved on the same item.
- Stacking order and math: two discounts of d1% and d2% never simply add. The combined discount is 1 - (1-d1/100) x (1-d2/100), which is always a little less than d1 + d2.
- Sales tax timing: because tax is charged on the discounted price in most US states, a bigger discount also lowers the tax you pay, not just the sticker price.
Percentage off versus dollar off
To compare a "20% off" deal with a "$15 off" deal on the same item, convert the dollar discount into a percentage by dividing by the original price ($15 / $75 = 20%), or convert the percentage into a dollar amount by multiplying by the price. Whichever discount produces the lower final price is the better deal on that specific item — the comparison can flip entirely on a different priced item.