Discount & Margin Calculator
Calculate sale price from a discount percentage, find what percent off a price was, or compute your profit margin. Free discount and margin calculator.
Reviewed for accuracy by Marcus Webb and the Blueprint Dynamics editorial team (last updated July 2026). Our calculators use primary-source formulas and are cross-checked against IRS publications, Fannie Mae guidelines, and Federal Reserve data. Learn more about our methodology.
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How discount calculations work
A discount reduces the original price by a percentage. Sale price = original price × (1 − discount%). A $120 item at 25% off: $120 × 0.75 = $90. The dollar savings: $120 × 0.25 = $30. Stacked discounts — where a second discount applies to an already-discounted price — are not additive. A 20% discount followed by an additional 10% discount does not equal 30% off. First discount: $100 × 0.80 = $80. Second discount: $80 × 0.90 = $72. Total savings: $28 on $100 — equivalent to 28%, not 30%.
Finding the original price from a discounted price
If you know the sale price and the discount percentage, the original price = sale price / (1 − discount%). An item on sale for $63 after a 30% discount: original price = $63 / 0.70 = $90. This reverse calculation is useful when sale price tags don't show the original price, or when you want to verify a "was/now" claim. A "50% off" item at $45 implies an original price of $90 — if that seems implausible, the original price may have been artificially inflated before the sale.
Discount vs. margin vs. markup
Discount: reduction from the listed price (a retail concept — from the customer's perspective). Margin: profit as a percentage of selling price (gross margin = (revenue − COGS) / revenue). Markup: profit as a percentage of cost ((selling price − cost) / cost). A product that costs $60 and sells for $100: discount offered = whatever you mark it down from $100; margin = $40/$100 = 40%; markup = $40/$60 = 66.7%. The same $40 profit appears as three different percentages depending on the denominator. This is why comparing "margins" across businesses requires knowing which definition they're using.
Coupon stacking and real-world discount math
Retailers often run multiple overlapping promotions. Understanding the order of operations matters. "20% off sitewide plus an extra 15% off sale items" on a $200 item originally priced at $150 after a 25% sale: Step 1: Sale price $200 × 0.75 = $150. Step 2: Extra 15% off: $150 × 0.85 = $127.50. Total effective discount from $200: $72.50 or 36.25%. Many consumers assume 25% + 15% = 40% off — but stacked percentages always produce a smaller combined discount than their sum.