Whether you're shopping during a seasonal sale, negotiating a bulk purchase, or just trying to figure out how much you'll save with a coupon code, calculating discounts is a practical skill you'll use every day.
What Is a Discount?
A discount is a reduction applied to the original price of a good or service. It's typically expressed in one of two ways:
- Percentage discount: A specific percentage off the original price (e.g., "20% off").
- Fixed amount discount: A specific dollar amount off the original price (e.g., "$15 off").
How to Calculate a Percentage Discount
Calculating a percentage discount requires finding the value of the percentage and subtracting it from the original price. You can do this in two simple steps:
Step 1: Find the Discount Amount
Discount Amount = Original Price × (Discount Percentage ÷ 100)
Step 2: Find the Final Price
Final Price = Original Price - Discount Amount
The Faster Method: Paying Percentage
If you want to skip a step, you can calculate what percentage of the item you are actually paying.
For example, if an item is 25% off, you are paying 75% of the original price (100% - 25% = 75%).
Final Price = Original Price × (100% - Discount Percentage)
Practical Examples
Example 1: The Clothing Sale
You find a jacket originally priced at $120. It's on sale for 30% off.
- Discount Amount: $120 × 0.30 = $36
- Final Price: $120 - $36 = $84
Using the fast method: $120 × 0.70 = $84. You save $36!
Example 2: Stacked Discounts
Sometimes a store will offer "20% off already reduced clearance items." If a $200 TV is on clearance for 30% off, and you have an extra 20% off coupon, you do not add the percentages together (50% off). You apply them sequentially.
- First discount (30% off $200): $200 × 0.70 = $140
- Second discount (20% off $140): $140 × 0.80 = $112
Note: If you had simply taken 50% off $200, the result would have been $100. Applying discounts sequentially always results in a slightly higher final price than adding the percentages together.
Disclaimer: This guide provides general mathematical information. It does not constitute financial, legal, or tax advice. For complex purchasing decisions, always review the specific terms and conditions of the retailer's discount policy.