A “25% off” tag tells you the discount, not the price. This Percent Off Calculator does the whole job: enter the original price and the discount percentage to get the sale price and your exact savings — and if a second discount stacks on top (an extra 10% at the register, a coupon on a sale), add it to see the combined effect and the true effective percentage, which is never just the two numbers added.
Worked Examples: One Discount, Then Two
A $120 jacket at 25% off: the discount is 120 × 0.25 = $30, so you pay $90 and save $30 — the calculator’s headline line. Now stack an extra 10% off at the register. The second discount applies to the $90 sale price, not the original $120: 90 × 0.90 = $81, total saved $39. That $39 is a 32.5% effective discount — not the 35% the two tags suggest. Stacked discounts multiply their survivors: you keep 0.75 × 0.90 = 0.675 of the price, so you shed 32.5%. This is why “40% + extra 20%” lands at 52% off (0.6 × 0.8 = 0.48 kept), never 60% — and why the order of the discounts does not matter: multiplication commutes, so 25%-then-10% and 10%-then-25% both end at $81.
The One Formula and Its Reverse
Sale price = original × (1 − p/100). Everything on this page is that line: the savings are original × p/100, and stacking discounts chains the factors, (1 − p₁/100)(1 − p₂/100). The reverse direction is equally useful: tag says you pay $81 after some mystery markdown from $120 — the discount percent is (1 − 81/120) × 100 = 32.5%. Retailers exploit the forward direction’s psychology relentlessly: a discount computed on an inflated “original” price is no discount at all, and percent-off math cannot protect you from a fictitious anchor — compare the final price against other sellers, not against the struck-through number. The genuine skill this calculator builds is converting every offer into the two numbers that matter: what you pay, and what fraction of a fair price that is.
Percent Off Versus Percentage Points and Markups
Three confusions cost shoppers and students real money. First, percent off the price versus percent of the price: “40% off” means pay 60%; “40% of the price” means pay 40% — opposite ends of the same tag, and reading one as the other doubles or halves the bill. Second, discounts undo markups asymmetrically: a price marked up 25% needs only 20% off to return to cost (100 → 125 → 100), because the percentages act on different bases — the reason a store can advertise “25% off!” on goods it marked up 25% and lose nothing. Third, successive equal discounts never reach free: three stacked 50% coupons would leave 12.5% of the price (0.5³), which is why stores cap stacking long before the mathematics gets generous.
Using It at the Shelf
Mental shortcuts cover most cases: 10% is a decimal shift, 25% is a quarter, 50% is half, and 30% is 10% tripled — so 30% off $120 is 120 − 36 = $84 without reaching for a phone. Reach for this calculator when discounts stack, when the tag mixes “percent off” with a fixed amount off (apply the percent first, then the fixed amount, unless the store states otherwise — order matters once a fixed amount joins), or when comparing a percent-off offer against a straight lower price elsewhere. And remember the tax wrinkle: in most US jurisdictions sales tax applies to the discounted price, so the percent you save on the item is the percent you save overall.
Common Mistakes
Adding stacked percentages. Taking the percent of the wrong base after the first discount. Believing “up to 70% off” describes the item in your hand. And forgetting that a bigger percent off a bigger anchor can still be the worse price — always compare final prices, never percentages alone.
Percent Off Now Versus Percent Back Later
Stores increasingly offer “20% back in rewards” instead of 20% off, and the two are not twins. Twenty percent off a $100 item charges you $80 today. Twenty percent back charges you the full $100 and returns $20 of store credit — worth $20 only if you were certainly going to spend $20 more there, worth less under expiry dates and exclusions, and it requires a second purchase to redeem at all. The calculator’s discipline applies unchanged: convert the offer to a final out-of-pocket price under your real behavior. If you would redeem the credit fully on things you needed anyway, the offers tie; in every other realistic case, percent off now wins, and it is not close.
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Continue with the Pay Raise Calculator, the 50/30/20 Rule Calculator, the Future Value of Annuity Calculator, or browse the full Finance Calculators hub.
Frequently Asked Questions
How much is 25% off $120?
The discount is $30, so you pay $90. Multiply the price by 0.25 for the savings, or by 0.75 directly for the sale price.
How do stacked discounts combine?
Multiplicatively, not additively. 25% off then 10% off keeps 0.75 × 0.90 = 0.675 of the price — an effective 32.5% off, not 35%.
Does the order of two discounts matter?
No. Multiplication commutes: 10% then 25% off ends at the same price as 25% then 10%. Order matters only when a fixed dollar amount joins the percentages.
How do I find the percent off if I only know both prices?
Percent off = (1 − sale/original) × 100. Paying $81 on a $120 item means (1 − 0.675) × 100 = 32.5% off.
Why does 25% off not undo a 25% markup?
Because the bases differ: the markup acts on cost (100 → 125), the discount acts on the higher price, so 20% off 125 returns exactly to 100. Percentages are always of something — track the base.
Is “50% off plus free shipping” better than “60% off”?
Compare final delivered prices. 50% off $120 is $60 before shipping; 60% off is $48 before shipping. The calculator gives the item side; add each shipping fee to finish the comparison.