How much is it with the discount?
Calculate discounts, sale prices, and savings amounts. Fill in any two of the original price, the discount, and the sale price.
- Sale price
- $80.00
20% off $100.00 is $80.00, a saving of $20.00.
- You save
- $20.00
Sale price: $80.00. 20% off $100.00 is $80.00, a saving of $20.00.
How much of the price do you pay?
Sale price by discount
The results are estimates for information only. They are not financial, tax, or legal advice. Check the numbers with your lender or a qualified professional before you decide. Terms of use
How to calculate
Computes the sale price from the original price and the discount, the discount from the two prices, or the original price from the sale price and the discount.
Example with the default inputs (Original price $100.00, Discount 20%): 20% off $100.00 is $80.00, a saving of $20.00.
Formula: S = O × (1 − D ÷ 100): the sale price S is the original price O less D percent of it.
- The discount is a percent of the original price: 20 means 20% off.
- The discount is from 0% to 100%, so the sale price is never above the original price.
- Sales tax is not included.
Worked examples
Each example is checked against the calculator on every build.
- Original price $100.00, Discount 20% gives Sale price $80.00, You save $20.00.Source: Discount, sale price and discount rate: OpenStax, Prealgebra 2e, section 6.3 "Solve Sales Tax, Commission, and Discount Applications". https://openstax.org/books/prealgebra-2e/pages/6-3-solve-sales-tax-commission-and-discount-applications
- Original price $80.00, Sale price $60.00 gives Discount 25%, You save $20.00.Source: Discount, sale price and discount rate: OpenStax, Prealgebra 2e, section 6.3 "Solve Sales Tax, Commission, and Discount Applications". https://openstax.org/books/prealgebra-2e/pages/6-3-solve-sales-tax-commission-and-discount-applications
- Sale price $60.00, Discount 40% gives Original price $100.00, You save $40.00.Source: Discount, sale price and discount rate: OpenStax, Prealgebra 2e, section 6.3 "Solve Sales Tax, Commission, and Discount Applications". https://openstax.org/books/prealgebra-2e/pages/6-3-solve-sales-tax-commission-and-discount-applications
- Original price $59.99, Discount 15% gives Sale price $50.99, You save $9.00.Source: Discount, sale price and discount rate: OpenStax, Prealgebra 2e, section 6.3 "Solve Sales Tax, Commission, and Discount Applications". https://openstax.org/books/prealgebra-2e/pages/6-3-solve-sales-tax-commission-and-discount-applications
How it works
Fill in any two of the three values and the calculator finds the third. The formula is:
S = O × (1 − D ÷ 100)
where O is the original price, D is the discount in percent, and S is the sale price.
- Sale price: S = O × (1 − D ÷ 100)
- Original price: O = S ÷ (1 − D ÷ 100)
- Discount: D = (1 − S ÷ O) × 100, which is the same as (O − S) ÷ O × 100
It also shows what you save: O − S.
Assumptions
- The discount is a percent of the original price: type 20 for 20% off.
- The discount is from 0% to 100%. A sale price above the original price is not a discount: it solves to a discount below 0% (a markup), which is outside the 0% to 100% range, so there is no answer. The page says no discount in its allowed range fits.
- At a 100% discount the sale price is 0, so the original price cannot be found from the sale price.
- The original price must be more than 0. Sales tax is not included.
Worked examples by hand
20% off $100. 100 × (1 − 20 ÷ 100) = 100 × 0.8 = $80. You save 100 − 80 = $20.
What discount takes $80 to $60? (1 − 60 ÷ 80) × 100 = 0.25 × 100 = 25%. You save $20.
$60 after 40% off. 60 ÷ (1 − 40 ÷ 100) = 60 ÷ 0.6 = $100. You saved $40.
15% off $59.99. 59.99 × 0.85 = $50.9915, which shows as $50.99. You save 59.99 − 50.9915 = $8.9985, about $9.00.
Other questions people ask
How do I calculate the discount percentage from original price and sale price?
Use the formula: Discount Percentage = ((Original Price - Sale Price) / Original Price) × 100. For example, if an item costs $80 instead of $100: ((100 - 80) / 100) × 100 = 20% discount.
How do I calculate the sale price from original price and discount percentage?
Use the formula: Sale Price = Original Price - (Discount Percentage / 100 × Original Price). For example, a 25% discount on a $100 item: $100 - (25/100 × $100) = $100 - $25 = $75.
How do I calculate the original price from sale price and discount percentage?
Use the formula: Original Price = Sale Price / (1 - Discount Percentage / 100). For example, if an item costs $60 with a 40% discount: $60 / (1 - 40/100) = $60 / 0.6 = $100.
What's the difference between original price and sale price?
Original price is the regular price of an item before any discounts are applied. Sale price is the final price after the discount has been subtracted from the original price.
How do I calculate the amount saved with a discount?
Amount Saved = Original Price - Sale Price. For example, if an item is discounted from $100 to $75, you saved $25. This is the same as the discount amount.
Can I calculate any of the three values if I know the other two?
Yes. The calculator finds the missing value when you give any two of the three: original price, discount percentage, or sale price. Leave the field you want to calculate empty.
What is a good discount percentage?
Good discount percentages vary by industry and product. Retail typically offers 10-30% off, clearance sales may offer 50-70% off, and seasonal sales often provide 20-40% discounts. Consider the product's value and your budget.
How do I calculate multiple discounts (stacked discounts)?
For multiple percentage discounts, apply them sequentially. For example, 20% off then 10% off: First discount = Original Price × 0.80, Second discount = First Result × 0.90. Note that 20% + 10% ≠ 30% - the total discount is actually 28%.
How do I calculate tax on a discounted item?
Sales tax is typically calculated on the final sale price, not the original price. For example, if a $100 item has a 20% discount and 8% tax: Sale Price = $80, Tax = $80 × 0.08 = $6.40, Total = $86.40.
What are common discount strategies used by retailers?
Common strategies include percentage off (10%, 20%, 50% off), buy-one-get-one (BOGO), clearance sales, seasonal discounts, loyalty member discounts, coupon codes, and flash sales. Each targets different customer behaviors and purchase timing.