Discount Percentage
Calculator
Calculate the sale price after a discount, find what percentage was taken off, or reverse-engineer the original price from a sale price. Three precise tools — instant results, no sign-up required.
Start CalculatingDiscount Percentage Calculators
Three calculators for every discount scenario — find the sale price, the percent off, or the original price.
What is Discount Percentage Calculator?
Why this tool exists, what it is used for, and how discount percentages work.
The Discount Percentage Calculator exists to help shoppers, consumers, retailers, and business owners instantly calculate sale prices, discount savings, and original prices without making manual math mistakes.
This tool is used for calculating retail store sale prices, Black Friday savings, clearance discounts, double/stacked discounts, wholesale profit margins, and working backward to find the original pre-sale price when only the discounted price and percentage off are known.
A discount percentage is the proportion by which an item's price is reduced relative to its original value. The key distinction is between the original price (pre-discount value), the discount amount (money saved), and the sale price (final price paid). These three values are always linked: Sale = Original − Discount Amount.
Understanding discount math prevents overpaying on misleading promotions and ensures you get the exact bargain advertised.
Price Breakdown Visual
Example: $120 item with 30% off
Discount Percentage Calculator Formula
The core formulas behind every discount calculation — with step-by-step worked examples.
Sale Price from % Off
Multiply the original price by (1 minus the discount decimal). $120 at 30% off: $120 × 0.70 = $84. Saving = $36.
Percentage Discount
Subtract the sale price from the original, divide by the original, multiply by 100. $120 → $84: ((120−84)÷120)×100 = 30% off.
Original Price from Sale
Divide the sale price by (1 minus the discount decimal). $84 with 30% off: $84 ÷ 0.70 = $120 original. Don't add the % back directly!
Discount Calculator FAQs
Answers to the most common discount percentage questions.
How do I calculate the sale price after a discount?
Multiply the original price by (1 − discount% ÷ 100). For 30% off $120: $120 × (1 − 0.30) = $120 × 0.70 = $84. Alternatively, calculate the discount amount first: $120 × 0.30 = $36 discount, then $120 − $36 = $84 sale price.
How do I find the original price from a sale price?
Divide the sale price by (1 − discount% ÷ 100). If an item is $84 after 30% off: $84 ÷ 0.70 = $120 original. A common mistake is adding the discount percentage back to the sale price — that gives the wrong answer ($84 + 30% = $109.20, not $120).
Does 20% off + 10% off equal 30% off?
No. Stacked discounts are multiplicative, not additive. 20% off then 10% off: 1 × 0.80 × 0.90 = 0.72, meaning 28% off total — not 30%. The order doesn't matter; the result is the same either way. This is why retailers prefer stacked discounts over a single larger one.
How do I calculate 15% off $80?
$80 × 0.15 = $12 discount. Sale price = $80 − $12 = $68. Quick mental trick: 15% = 10% + 5%. 10% of $80 = $8. 5% = half of that = $4. Total = $12 off. Sale price = $68.
What is the difference between percent off and percent of?
"30% off $100" means you subtract 30% — paying $70. "30% of $100" means you calculate 30% as an amount — $30. The sale price is what you pay (70%), while the discount amount is what you save (30%). Always clarify which calculation you need when dealing with discounts vs. percentages of a value.
Explore Our Percentage Calculators
Six specialized tools — each built for a specific use case. Pick the one that fits your question.