Percentage Off Calculator

About Percentage Off Calculator

Calculate the final price after applying a percentage discount to the original price.

How to use this calculator

1. Enter the original price of the item.
2. Enter the percent off, such as 20 for 20% off.
3. Use the result to find the final discounted price.
4. Check the difference between the original and final price if you want to see the amount saved.

The formula explained

The formula computes the final price after subtracting a percentage of the original price. It multiplies the original price by the remaining fraction, which is the part you still pay after the discount.

• \(P_{final}\) = the price after the discount
• \(P_{original}\) = the original price before the discount
• \(\%\) = the percentage off

Step by step method

1. Find the discount amount by multiplying the original price by the percent off written as a decimal.
2. Subtract that discount from the original price.
3. Or multiply the original price by \(1 - \frac{\%}{100}\) to get the final price directly.

Worked example

Problem. A jacket costs $80 and is on sale for 25% off. What is the discounted price?

1. Convert 25% to a decimal: \(25/100 = 0.25\).
2. Find the remaining fraction: \(1 - 0.25 = 0.75\).
3. Multiply: \(80 \times 0.75 = 60\).

Tips and common mistakes

• Make sure you use the percent off, not the percent remaining, unless you convert it correctly.
• If you want the savings amount, subtract the final price from the original price.

Frequently asked questions