How to Calculate Discount Percentage: Formula, Examples & Easy Guide
Discounts are common when shopping online and in stores. Knowing how to calculate discount percentage can help you understand how much money you are saving and what the final price of an item will be.
In this guide, you will learn how to calculate the discount percentage, discount amount, final sale price and original price using simple formulas and step-by-step examples.
If you want to calculate a discount quickly, you can use our free Discount Calculator .
Use the Discount CalculatorWhat Is a Discount Percentage?
A discount percentage shows how much the original price has been reduced, expressed as a percentage of the original price.
For example, if a $100 product is offered at 20% off, the discount is $20 and the customer pays $80.
Discount Percentage Formula
When you know the original price and sale price, you can calculate the discount percentage using this formula:
The calculation has three basic steps:
- Subtract the sale price from the original price.
- Divide the discount amount by the original price.
- Multiply the result by 100.
The original price is the reference amount when calculating the percentage discount. :contentReference[oaicite:1]{index=1}
Example: How to Calculate Discount Percentage
Suppose a product originally costs $200 and is now selling for $150.
Original Price: $200
Sale Price: $150
Discount = $200 − $150
Discount = $50
Discount Percentage = ($50 ÷ $200) × 100
Discount Percentage = 25%
Therefore, the product has a 25% discount.
How to Calculate the Discount Amount
Sometimes the discount percentage is already given and you need to find the actual amount of money saved.
For example, suppose a product costs $120 and has a 25% discount.
Discount = $120 × (25 ÷ 100)
Discount = $120 × 0.25
Discount = $30
You save $30 on the purchase.
How to Calculate the Final Sale Price
Once you know the discount amount, subtract it from the original price.
You can also calculate the final price directly:
This direct formula is a standard way to calculate the price after a percentage discount. :contentReference[oaicite:2]{index=2}
Example: Calculate a Sale Price
A jacket costs $250 and is advertised at 30% off.
Discount = $250 × 30 ÷ 100
Discount = $75
Sale Price = $250 − $75
Sale Price = $175
So the customer saves $75 and pays $175.
How to Calculate the Original Price
You can also work backward when you know the sale price and the discount percentage.
Example
Suppose an item costs $70 after a 30% discount. What was its original price?
Original Price = $70 ÷ (1 − 30 ÷ 100)
Original Price = $70 ÷ 0.70
Original Price = $100
Therefore, the original price was $100.
Discount Percentage Examples
| Original Price | Discount | Discount Amount | Sale Price |
|---|---|---|---|
| $100 | 10% | $10 | $90 |
| $100 | 20% | $20 | $80 |
| $100 | 25% | $25 | $75 |
| $200 | 30% | $60 | $140 |
| $500 | 40% | $200 | $300 |
What Is 10% Off?
A 10% discount means that you save 10% of the original price and pay 90% of the original price.
For example, 10% off $80 means:
$80 × 0.10 = $8 discount
$80 − $8 = $72 sale price
What Is 20% Off?
A 20% discount means you pay 80% of the original price.
For example:
$150 × 0.20 = $30 discount
$150 − $30 = $120 sale price
What Is 50% Off?
A 50% discount means the price is reduced by half.
For example, 50% off $90 means the customer saves $45 and pays $45.
Successive Discounts
Sometimes a product receives more than one discount in sequence. For example, a store may offer 20% off followed by another 10% off.
These discounts should not simply be added together as 30%, because the second discount is applied to the already-reduced price.
Original price = $100
First discount: 20%
$100 − $20 = $80
Second discount: 10% of $80 = $8
Final price = $80 − $8 = $72
The combined reduction is therefore $28, or 28% of the original $100, rather than 30%.
Discount Percentage vs Discount Amount
Discount percentage and discount amount are related but they are not the same thing.
| Term | Meaning |
|---|---|
| Original Price | Price before the discount |
| Discount Percentage | Percentage reduction from the original price |
| Discount Amount | Actual amount of money saved |
| Sale Price | Price paid after the discount |
Common Discount Calculation Mistakes
These mistakes can lead to an incorrect discount percentage or sale price:
- Dividing the discount amount by the sale price instead of the original price.
- Forgetting to multiply by 100 when calculating a percentage.
- Treating a percentage such as 25% as 25 instead of 0.25 when multiplying a price.
- Adding successive discounts together.
- Confusing the discount amount with the discount percentage.
- Forgetting to subtract the discount from the original price.
How to Calculate Discount Percentage Quickly
When you know the original and sale prices, use this three-step method:
- Subtract the sale price from the original price.
- Divide the result by the original price.
- Multiply by 100.
How to Use a Discount Calculator
If you do not want to calculate discounts manually, an online calculator can provide the result quickly.
- Open the Discount Calculator.
- Enter the original price.
- Enter the discount percentage or sale price as required.
- Calculate the result.
- Check the discount amount and final price.
Our free Discount Calculator is designed to make everyday discount calculations easier.
Calculate a DiscountFrequently Asked Questions
How do you calculate discount percentage?
Subtract the sale price from the original price, divide the discount amount by the original price, and multiply by 100.
How do you calculate the price after a discount?
Multiply the original price by the discount percentage divided by 100 to find the discount amount. Then subtract the discount amount from the original price.
What is the formula for discount amount?
The formula is: Discount Amount = Original Price × Discount Percentage ÷ 100 .
How can I calculate a discount quickly?
You can use the free Discount Calculator on Easy Online Tool to calculate the discount and final price quickly.
Related Math & Finance Calculators
You may also find these free calculators useful:
- Discount Calculator
- Percentage Calculator
- Percentage Increase & Decrease Calculator
- Tip Calculator
- Simple Interest Calculator
- Finance Calculators
Final Thoughts
Calculating a discount percentage is a useful everyday math skill. Whether you are shopping online, comparing prices or checking a sale, the basic formulas can help you understand exactly how much you are saving.
To find the discount percentage from two prices, subtract the sale price from the original price, divide by the original price and multiply by 100.
When the discount percentage is already known, multiply the original price by the discount rate to find the discount amount, then subtract it from the original price to find the sale price. :contentReference[oaicite:3]{index=3}
For quick calculations, try the Discount Calculator on Easy Online Tool.