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How Discounts Work
A discount reduces the original price by a percentage. To calculate: multiply the price by the discount rate and subtract. Our calculator handles three scenarios: finding the sale price, the original price, or the discount percentage.
How to Use This Calculator
- Choose your calculation mode by clicking one of the three tabs: "Sale Price" to find the discounted price, "Find Original" to reverse-calculate the pre-discount price, or "Find %" to determine the discount percentage between two prices.
- Enter your values into the input fields. Each mode shows two fields tailored to that calculation. For the Sale Price mode, enter the original price and the discount percentage.
- View the result instantly. The answer appears in the blue result box and updates automatically as you type. The calculator also shows the amount you save where applicable.
- Copy the result by clicking the "Copy Result" button to paste the full calculation into a message, email, or spreadsheet.
How It Works
Each of the three modes uses percentage arithmetic to produce its result. In "Sale Price" mode, the calculator multiplies the original price by (1 minus the discount percentage divided by 100). For example, 25% off 80 pounds is calculated as 80 multiplied by 0.75, giving a sale price of 60 pounds, with a saving of 20 pounds. In "Find Original" mode, the calculation is reversed: the sale price is divided by (1 minus the discount percentage divided by 100). So if the sale price is 60 pounds at 25% off, the original is 60 divided by 0.75, which equals 80 pounds. In "Find %" mode, the discount percentage is calculated as ((original price minus sale price) divided by the original price) multiplied by 100. From 80 pounds to 60 pounds, that is ((80 minus 60) divided by 80) times 100, which equals 25%. All calculations run instantly in your browser with no server communication required.
Frequently Asked Questions
How do I calculate a percentage discount?
To calculate a percentage discount, multiply the original price by the discount percentage divided by 100, then subtract that amount from the original price. For example, to find 25% off 80 pounds, calculate 80 multiplied by 0.25, which equals 20. Then subtract 20 from 80 to get a sale price of 60 pounds. Alternatively, multiply the original price by (1 minus the discount rate) for a one-step calculation.
How do I find the discount percentage between two prices?
To find the discount percentage, subtract the sale price from the original price, divide the result by the original price, and multiply by 100. For instance, if a product was 80 pounds and is now 60 pounds, the discount is ((80 minus 60) divided by 80) times 100, which equals 25%. This formula works for any pair of prices and tells you exactly how much the price has been reduced in percentage terms.
How do I find the original price before a discount?
If you know the sale price and the discount percentage, divide the sale price by (1 minus the discount percentage divided by 100). For example, if an item costs 60 pounds after a 25% discount, the original price is 60 divided by 0.75, which equals 80 pounds. This reverse calculation is useful when you see a sale tag but the original price is not displayed.
How do stacked or multiple discounts work?
Stacked discounts are applied sequentially, not added together. A 20% discount followed by an additional 10% discount is not the same as a 30% discount. If an item costs 100 pounds, 20% off brings it to 80 pounds, and then 10% off that 80 brings it to 72 pounds. A straight 30% discount would bring it to 70 pounds. Always calculate each discount step by step to find the true final price.
Is a bigger percentage discount always a better deal?
Not necessarily. A 50% discount on an inflated original price may still leave you paying more than a 20% discount on a fairly priced item elsewhere. Always compare the actual final price across different retailers rather than focusing solely on the percentage figure. Price comparison websites can help you verify whether a sale price is genuinely competitive or merely a marketing tactic.
How do I calculate savings on a buy-one-get-one-free offer?
A buy-one-get-one-free (BOGOF) offer is effectively a 50% discount when you buy two items, because you pay for one and get the second free. If each item costs 10 pounds, you pay 10 instead of 20, saving 10 pounds or 50%. However, this only represents a saving if you actually need two of the item. If you would only have bought one, the true saving is zero since you are spending 10 pounds you would not otherwise have spent.
