Discount Calculator
FinancePick what you want to know: the sale price after a percent off, the percent off between two prices, the original price, or two discounts in a row. The result and your savings update as you type.
Step by step
80 × (1 − 20 / 100) = $64.00
- Amount off: 80 × 20 / 100 = $16.00.
- Price after discount: $80.00 − $16.00 = $64.00.
Once every entry is valid, you’ll see each step of the calculation here.
Formula
- price
- original price before the discount, in dollars
- sale price
- price after the discount, what you pay before sales tax
- discount
- percent off as a number, 20 for 20% off
- d₁, d₂
- the first and the second discount in percent
How it works
A discount takes a percentage off a price. To find the amount, multiply the price by the percentage and divide by 100: 20% of $100 is 100 × 20 / 100 = $20, so the sale price is $80. The faster way is to multiply by what is left to pay, which is (100 − discount) / 100. At 20% off that is 0.8, at 25% off it is 0.75 and at 30% off it is 0.7. Type 20, 15 or any other rate into the Discount percentage field and the sale price and your savings appear at once.
To find percent off from two prices, divide the difference by the original price and multiply by 100. A jacket that drops from $120 to $90 is $30 less, and 30 / 120 × 100 = 25% off. The original price is always the base: a price that climbs from $90 back to $120 is a 33.3% increase, not 25%. Choose "Percent off" and enter the original price and the sale price to see the percentage and the amount you save.
To work backward to the original price, divide what you paid by the share that was still due. After 20% off you paid 80% of the price, so $64 / 0.8 = $80. Adding 20% to $64 would give $76.80, which is wrong because the 20% was taken from the larger number. Two discounts in a row do not add up either. The second one applies to the price that is already lower, so 20% off and then 10% off is 28% off in total, not 30%. For other percent questions, see the percentage calculator and the percentage difference calculator.
The formula
Every formula starts from the same fact: the sale price is the original price times the share still to pay, (100 − discount) / 100. The other formulas solve that equation for a different unknown. The calculator keeps full precision and only rounds what it shows, to the cent for dollar amounts. A store may round each line of a receipt on its own, so a cent here or there can differ from the register.
Percent off is the same whether you look at a price with tax or without it, because 20% off lowers the price and the tax on it in the same proportion. What matters is that you apply the percentage to the price it was advertised on. The tool does not add sales tax, which varies by state and city. The FAQ below shows how to include it.
Example
A jacket is priced at $80.00. What do you pay with 20% off?
- The amount off is 80 × 20 / 100 = $16.00.
- Price after discount: $80.00 − $16.00 = $64.00. The shortcut is to multiply by 0.8: 80 × 0.8 = $64.00.
- If the store adds 7% sales tax, you would pay about $68.48 at the register, since $64 × 1.07 = $68.48.
Take 20% off $80.00 and you pay $64.00, saving $16.00.
Load this example into the calculatorFrequently asked questions
How do I calculate percent off?
Multiply the price by the percent off and divide by 100 to get the amount off, then subtract it from the price. For 25% off $60, the amount off is 60 × 25 / 100 = $15, so you pay $45. A shortcut is to multiply by the share you still pay, here 0.75: 60 × 0.75 = $45.
How do I calculate the discount amount?
The discount amount is the price times the discount percentage divided by 100. For $149.99 at 15% off, that is 149.99 × 15 / 100 = $22.50 rounded to the cent. If you know both prices instead, subtract the sale price from the original price. The "You save" line in the result shows this amount.
How do I calculate the price after a discount?
Subtract the discount amount from the original price, or multiply the price by (100 − discount) / 100. At 30% off $85, the amount off is $25.50 and you pay $59.50, which is 85 × 0.7. Choose "Sale price" in the calculator, enter the original price and the percent off, and it shows both numbers.
How do I calculate the discount percentage?
Divide the amount saved by the original price and multiply by 100. If a $60 item is marked down to $48, you save $12, and 12 / 60 × 100 = 20% off. Pick "Percent off" in the calculator and enter the original price and the sale price to get the percentage and your savings.
How much is 20% off $100, and how much is 20% off $50?
20% off $100 is $20, so the price drops to $80. 20% off $50 is $10, so you pay $40. In both cases you pay 80% of the price, which is the original price times 0.8. The same shortcut works for any price: 20% off $35 is $28.
Can I calculate a discount from the original and sale price?
Yes. Choose "Percent off", enter the original price and the sale price, and the calculator returns the percentage and the amount you save. From $120 to $90 it shows 25% off and $30 saved. The sale price cannot be higher than the original price, because that would be an increase.
Can I use decimal prices and discount percentages?
Yes. Enter prices with cents, like 49.99, and rates with decimals, like 12.5 or 7.25, using a period as the decimal point. 12.5% off $49.99 is $6.25 off and $43.74 to pay. The calculator keeps the extra digits while it works and rounds only the figures it shows.
Can I calculate a fixed amount discount?
Yes, in two steps. A fixed amount comes off by plain subtraction: $15 off $60 leaves $45. To see what that is as a percentage, choose "Percent off" and enter 60 as the original price and 45 as the sale price. The result is 25% off, which helps you compare it with a percent-off coupon.
Can I calculate multiple discounts or stacked discounts?
Yes. Choose "Two discounts" and enter both percentages. The second one applies to the price after the first, so they do not add up. 20% off followed by 10% off $100 leaves $72, a total of 28% off. 50% off plus 20% off is 60% off in total, not 70%. The order of the two discounts does not change the result.
Does this calculator include sales tax, and how do I add it to a discount calculation?
It does not add sales tax, because rates vary by state, county and city, and some items are exempt. To include it, take the price after the discount and multiply by 1 plus the tax rate. A $64 sale price with 7% tax is 64 × 1.07 = $68.48. Whether tax is figured before or after a coupon depends on the type of coupon and your state.
What does the savings amount represent?
The savings amount, shown as "You save", is the difference between the original price and the price you pay. It is the dollar value of the discount: at 20% off $80 it is $16. When you start from two prices, it is the original price minus the sale price, and the percent off is that difference as a share of the original price.
Can retailers or business owners use this calculator?
Yes. Retailers can check how deep a markdown is, find the percent off between a list price and a promotional price, or work back to a list price from a sale price. The calculator does not figure margin or markup, because both need the cost of the item, which it does not take. The percentage calculator helps with those.
Is the discount calculator optimized for mobile devices?
Yes. The page works on phones and tablets as well as on a computer: the fields stack in one column, the buttons are large enough to tap, and the result stays visible at the bottom of the screen while you type. You can also copy the result or share a link that opens with your numbers filled in.
Is my data safe when using this calculator?
Your entries stay on your device. The math runs in your browser, so the prices and percentages you type are not sent to a server unless you send a problem report, which includes the values you entered. A link you copy with the share button contains your numbers in the address, so only share it if you are comfortable with that.
How can I figure a discount in my head?
Start with 10%: move the decimal point one place to the left. On a $48 item, 10% is $4.80, so 20% off saves $9.60 and 30% off saves $14.40, and you pay $38.40 or $33.60. For 25% off, a quarter of the price comes off ($12 here), and for 50% off, half of it. The percentage calculator works out any other percent of a number.
Is a 50% off sale always a good deal?
Not necessarily. Percent off only means something against the right starting price. The Federal Trade Commission’s pricing guides say a "former price" should be an actual, bona fide price at which the item was offered for a reasonably substantial period, not an inflated tag. Compare the sale price with what other stores charge before you decide.
- 16 CFR Part 233: Guides Against Deceptive Pricing (former price comparisons) (Electronic Code of Federal Regulations)
- Discounts and allowances (Wikipedia)
- Percentage (Wikipedia)