A Free Calculator · No Account Needed · Updated 2026
What do you actually pay after the discount?
A percent-off tag tells you the rate — not the dollar amount you save, the final
price you pay, or how much you're out-of-pocket when buying more than one. Enter
your original price, the discount, and quantity below; the calculator returns all
four numbers instantly. Every formula is shown so you can check the arithmetic yourself.
Sale price per item·Savings per item·Total to pay & total saved
What this calculator covers
It computes a straightforward percent-off discount: one price, one rate, one quantity.
It does not model stacked coupons, loyalty-point conversions, or sales tax — those
are separate arithmetic steps (see the FAQ below for stacked-discount math, and for how
to add tax on top). The arithmetic here is exact for the inputs you give it.
Enter the original price, the percent off, and how many you're buying. Results update as you type.
Your item & discount
$
The full price before the discount — what the tag says before "% off."
% off
The percent-off rate from the tag or coupon. Must be between 0 and 100.
Number of this item you're buying. Leave at 1 for a single-item calculation.
Sale price: per item
Sale price (per item)
You save (per item)
Total to pay
Total saved
The formulas, in full
Nothing here is a black box. These are the exact calculations the tool runs — the same
arithmetic you could do with a phone calculator or on paper. The only judgment calls
are the inputs you supply.
The table below shows you what you actually pay and save for common discount rates on
a $100 item. Scale linearly for any other price — a $50 item at 20% off costs $40
(half of $80), a $200 item at 20% off costs $160 (twice $80).
Discount
You save
You pay
Keep fraction
Common context
10% off
$10.00
$90.00
0.90
Loyalty reward, email signup coupon
20% off
$20.00
$80.00
0.80
Weekend sale, member discount
25% off
$25.00
$75.00
0.75
Seasonal clearance, "quarter off"
30% off
$30.00
$70.00
0.70
Holiday promotion, end-of-line stock
40% off
$40.00
$60.00
0.60
Deep clearance, outlet sale
50% off
$50.00
$50.00
0.50
BOGO equivalent per unit, half-price sale
70% off
$70.00
$30.00
0.30
Final clearance, discontinued merchandise
All figures use the exact formula: savings = $100 × discount% ÷ 100; sale price =
$100 − savings. For any other original price, multiply the "you pay" figure by
(your price ÷ $100). Sales tax is not included — apply it to the sale price after
this calculation.
Why the percent and the dollar amount tell different stories
A 50%-off sign and a "save $5" sign can describe the same transaction. Which
framing a retailer chooses — and why — is worth understanding before you shop.
Percentages loom larger on small items; dollar amounts loom larger on big ones
A 30%-off hat at $30 saves you $9. A $300-off television at $1,000 saves you 30% — the same rate. Retailers typically advertise the percentage on cheap items (30% sounds like a lot for a hat) and the dollar amount on expensive ones ($300 off sounds like a lot for a TV). Neither framing is dishonest, but being aware of the switch helps you compare deals at their actual dollar value. The calculator surfaces both numbers so you can anchor on whichever feels more concrete.
The "original price" on a tag is not always what anyone recently paid
A discount is only meaningful if the starting price was real. The FTC requires that a "compare at" or "was" price represent a genuine prior selling price — the item must have been offered at that price for a reasonable period. In practice, some retailers set an inflated reference price to make a permanent or near-permanent sale look like a limited event. If an item is always on sale, the "discount" is the real price. The arithmetic this calculator shows is exact; whether the advertised original price is accurate is a judgment call that belongs to you.
Stacked discounts multiply, they do not add
If a store applies a 20% coupon to an already 30%-off price, the total discount is not 50%. The first discount brings $100 to $70; the second brings $70 to $56 — a combined 44% off, not 50%. To find the true combined rate: multiply the keep-fractions (0.70 × 0.80 = 0.56) and subtract from 1 (1 − 0.56 = 0.44 = 44% off). To model stacked discounts with this calculator, run it twice — the first sale price becomes the new "original price" for the second discount.
How to verify a discount at the register
Most register errors favor the retailer. A quick mental check before you pay takes under
ten seconds and can surface a mis-scanned price or a coupon that did not apply.
Find the keep-fraction
Subtract the discount percentage from 100. A 25%-off item has a keep-fraction of 75 — you keep 75 cents of every dollar of the original price. This single number lets you estimate the sale price without knowing the savings first.
Multiply in your head with rounding
For a $48 item at 25% off: the keep-fraction is 0.75. Round to $50 × 0.75 = $37.50, then adjust for the $2 difference (2 × 0.75 = $1.50 less), giving $36. Exact answer: $48 × 0.75 = $36.00. Close enough to catch a scanner error, fast enough to do while the cashier is scanning.
Check the receipt line by line for the discount
Coupons and promotional discounts appear as separate line items, not as a reduced item price. Verify the coupon code or promo scanned; the word "PROMO" or "COUPON" should appear. If it is missing, the item was charged at full price even if the tag said sale.
Confirm quantity pricing is per-unit, not per-bundle
A "2 for $10" sign on a $7 item means one unit costs $5 — but only when you buy two. Buying one at a "2 for $10" promotion typically rings up at the single-unit price ($7), not $5. Read the fine print; most states require a retailer to honor the advertised price if the sign is ambiguous, but it is easier to confirm before you reach the register.
Where to buy
Got your numbers? Here's where to pick up what you need:
The words that show up on price tags, coupons, and receipts — in plain English.
Original price
The full price before any discount is applied — the baseline from which the savings are calculated. Sometimes called the "list price," "regular price," or "compare at" price. For the discount math to be meaningful, this must represent a genuine price at which the item was actually offered.
Discount rate (percent off)
The fraction of the original price removed from the sale. A 25% discount means the buyer pays 75% of the original price and the seller forgoes 25%. Expressed as a decimal: 25% = 0.25. The dollar savings = original price × discount rate.
Sale price
What you actually pay per unit: original price − savings per item. Equivalently, original price × (1 − discount rate). A $80 item at 25% off has a sale price of $60.
Keep-fraction
1 − discount rate. The proportion of the original price you pay. At 25% off, the keep-fraction is 0.75 — you pay 75 cents of every original dollar. Useful for quick mental math: multiply the original price by the keep-fraction to get the sale price directly, without computing the savings first.
Stacked discount
When two or more discounts apply sequentially. Each discount applies to the price remaining after the prior one — they do not add together. A 20%-off coupon on a 30%-off sale gives 44% off total (keep-fractions 0.70 × 0.80 = 0.56; 1 − 0.56 = 44%), not 50%.
Buy-one-get-one-free (BOGO)
A promotion where the second unit is free when you buy the first at full price. On a per-unit basis, BOGO is equivalent to 50% off when you buy exactly two. Buying only one item is not discounted at all. "Buy two get one free" is equivalent to 33% off per unit across three items.
Markup vs discount
A markup is the amount added to cost to reach a selling price. A discount is the amount subtracted from a selling price to reach a sale price. They are inverse operations but use different bases: a 25% markup on a $60 cost gives $75; a 25% discount on a $75 price gives $56.25 — not the original $60. This asymmetry is why reversing a discount requires dividing by the keep-fraction, not subtracting the discount percentage.
Clearance price
A deeply discounted price meant to sell remaining inventory quickly, often applied to end-of-season or discontinued items. A clearance tag typically reflects a genuine need to move stock rather than a promotional pricing strategy, making the advertised original price more likely to be legitimate.
Frequently asked
Multiply the original price by the discount percentage and divide by 100 to get the dollar amount saved, then subtract that from the original price to get the sale price. At 25% off $80: savings = $80 × 25 ÷ 100 = $20, so sale price = $80 − $20 = $60. You can also skip the subtraction by computing the keep-fraction directly: $80 × 0.75 = $60. Both routes produce the same answer — the formulas section above shows each step.
Sale price = original price × (1 − discount% ÷ 100). At 25% off a $80 item: sale price = $80 × (1 − 0.25) = $80 × 0.75 = $60. This is algebraically identical to subtracting the savings from the original. The multiplication form is often faster when you already know the keep-fraction: a 30%-off item has a keep-fraction of 0.70, so multiply any original price by 0.70 to get the sale price instantly.
Total saved = savings per item × quantity. If you save $20 per item and buy 3, total saved = $60. Total to pay = sale price per item × quantity = $60 × 3 = $180. Cross-check: original total ($80 × 3 = $240) minus total saved ($60) = total to pay ($180). The calculator's quantity field surfaces all four numbers so you do not have to do the multiplication separately.
On a per-unit basis when buying exactly two, yes — both structures cost the same. But the promotions differ in practice. A 50%-off sale applies to every unit you buy individually. A BOGO deal only applies when you buy in pairs: the first unit is full price, the second is free. If you only need one item, a 50%-off sale is clearly better (you pay $40 on an $80 item versus $80 full price for one under BOGO). If you need two, both structures cost $80 total. Use the quantity field in the calculator to see the math side by side.
Percent off means you pay that fraction less than the listed original price. A 30%-off tag on a $50 item means you pay 70% of $50 = $35. What the tag does not tell you is how the original price was set. The FTC requires that a "compare at" or "was" price represent a genuine prior selling price — the item must have been offered at that price for a reasonable period — but enforcement is uneven. If an item is always on sale, the "discounted" price is effectively the real price. The arithmetic this calculator shows is exact; whether the advertised original is genuine is a judgment you make with additional context.
No — you cannot add stacked discounts. A 20%-off coupon applied to an already 30%-off sale price gives 44% off total, not 50%. Each discount applies to the price remaining after the last one: $100 → 30% off → $70 → 20% off → $56. The combined rate is (1 − 0.70 × 0.80) = 44%. To model stacked discounts in this calculator, run it twice: the first run gives you a sale price, then enter that sale price as the new "original price" for the second discount.
In the United States, sales tax applies to the final sale price — after the discount, not before. On an $80 item at 25% off, the sale price is $60. At 6% sales tax that adds $3.60, for a total of $63.60. This calculator computes the pre-tax sale price and savings. To find the out-the-door cost, multiply the sale price by (1 + tax rate ÷ 100): $60 × 1.06 = $63.60. Rules vary by state and product category, but the typical rule is tax on the discounted amount.
Divide the sale price by the keep-fraction: original price = sale price ÷ (1 − discount% ÷ 100). If something costs $60 after a 25% discount: original = $60 ÷ 0.75 = $80. A common error is to add the discount percentage back to the sale price — $60 × 1.25 = $75, which is wrong. The mistake happens because 25% of the original ($80) is $20, but 25% of the sale price ($60) is only $15. Always divide by the keep-fraction to reverse a discount correctly.
Common mistakes
Discount math trips people up most often when multiple discounts or add-backs are involved — the order of operations and the base each percentage applies to matters.
Adding two successive discounts instead of chaining them
A 20% discount followed by an additional 10% off is not a 30% discount. The second discount applies to the already-reduced price: final = original × 0.80 × 0.90 = 72% of original, a combined 28% off. To chain discounts correctly, multiply the original by each (1 − rate) factor in sequence.
Calculating "% off" using the sale price as the base
Discount percent = (original − sale) ÷ original × 100. The base is always the original price. A $30 item on sale for $24 is 20% off (6 ÷ 30), not 25% off (6 ÷ 24). Using the sale price as the denominator inflates the apparent discount.
Forgetting that sales tax is applied after the discount
Tax is calculated on the final selling price, not the original sticker price. For a $100 item at 20% off with 8% tax: discounted price = $80, tax = $80 × 0.08 = $6.40, total = $86.40. Calculating tax on the original $100 and then subtracting the discount overstates the total by the tax on the discounted amount ($1.60 in this case).
Treating "buy one, get one 50% off" as 25% off each item
"Buy one get one 50% off" on two equal-priced items means you pay full price plus half price: total = 1.5 × item price. That is a 25% discount on the combined total — but only if you buy exactly two units. Buying one at full price with no partner item gives no discount at all. The effective rate depends on how many items you actually purchase.