How to Find the Discount Percentage of a Price

April 24, 2025 4 min read

Ever wondered if that "sale" is really as good as it seems? Knowing how to find the discount percentage of a price empowers you to be a savvy shopper. Understanding discounts allows you to compare deals and make informed financial decisions. It also helps avoid falling for fake discounts.

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Calculating the discount percentage of a price is easier than you think. Let's break down the formula and then look at a real-world example, and remember, you can easily solve this and other percentage problems with our calculator!

The Discount Percentage Formula

The key to finding the discount percentage lies in this simple formula:

Discount Percentage = [(Original Price - Sale Price) / Original Price] * 100

Let's define those terms:

  • Original Price: The price of the item *before* the discount is applied.
  • Sale Price: The price of the item *after* the discount is applied.

Steps to Calculate the Discount Percentage

  1. Gather Your Information: Identify the original price and the sale price of the item.
  2. Find the Difference: Subtract the sale price from the original price. This gives you the amount of the discount.
  3. Divide by the Original: Divide the discount amount by the original price. This gives you a decimal.
  4. Convert to Percentage: Multiply the decimal by 100 to express the discount as a percentage.

Example Time

Let's say you want to buy a new gadget. The original price is $200, but it's on sale for $160. What's the discount percentage?

  1. Discount Amount: $200 - $160 = $40
  2. Divide by Original: $40 / $200 = 0.2
  3. Convert to Percentage: 0.2 * 100 = 20%

Therefore, the gadget has a discount of 20%.

Another Way to Think About It

Sometimes, you might want to know what percentage of the original price you *are* paying. In that case, you would divide the sale price by the original price and multiply by 100.

Using the same example:

  • $160 / $200 = 0.8
  • 0.8 * 100 = 80%

This tells you that you are paying 80% of the original price, which also implies a 20% discount (100% - 80% = 20%).

Spotting Fake Discounts

Unfortunately, not all discounts are genuine. Some retailers inflate the original price before applying a discount, making the "sale" price seem better than it actually is. Here's how to spot them:

  • Compare Prices: Check the prices of similar items at other stores or online retailers. Are they consistently lower than the "original" price?
  • Check Price History: For online purchases, use tools to view the price history of the item. Has the price recently increased before the sale?
  • Trust Your Gut: If a deal seems too good to be true, it probably is.

Let Our Calculator Do the Work For You

While understanding the formula is important, sometimes you just want a quick answer. That's where our percentage calculator comes in! Simply enter the original price and sale price, and it will instantly calculate the discount percentage.

Our calculator can also help with other percentage problems, like finding the percentage one number is of another (https://percentagefinder.org/blog/work-out-percentage-of-two-numbers) or calculating percentage increase (https://percentagefinder.org/blog/calculate-percentage-increase). Plus, you can figure out simple tip calculations at restaurants.