# How much is it with the discount?

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.

- Page: https://www.acalculator.org/finance/discount-calculator
- JSON spec: https://www.acalculator.org/finance/discount-calculator.json
- Version: 71f411d2595b

## Default answer

Example with the default inputs (Original price $100.00, Discount 20%): 20% off $100.00 is $80.00, a saving of $20.00.

## Inputs

| Key | Label | Description |
| --- | --- | --- |
| originalPrice | Original price | The regular price before the discount. |
| discountPercentage | Discount | The discount, in percent of the original price (20 means 20% off). |
| salePrice | Sale price | The price you pay after the discount. |

## Outputs

| Key | Label | Description |
| --- | --- | --- |
| original | Original price | The regular price before the discount. |
| percent | Discount | The discount, in percent of the original price (20 means 20% off). |
| sale | Sale price | The price you pay after the discount. |
| saved | You save | The amount taken off the original price: O − S. |

## Method

S = O × (1 − D ÷ 100): the sale price S is the original price O less D percent of it.

## Assumptions

- 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

1. originalPrice = $100.00, discountPercentage = 20% gives salePrice = $80.00, saved = $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.
2. originalPrice = $80.00, salePrice = $60.00 gives discountPercentage = 25%, saved = $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.
3. salePrice = $60.00, discountPercentage = 40% gives originalPrice = $100.00, saved = $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.
4. originalPrice = $59.99, discountPercentage = 15% gives salePrice = $50.99, saved = $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.

## FAQ

### 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.

## Sources

- 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