4 Ways to Calculate a Discount - wikiHow (2024)

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methods

1Calculating the Discount and Sale Price

2Estimating the Discount and Sale Price

3Completing Sample Problems

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Reviewed byGrace Imson, MA

Last Updated: February 11, 2024Fact Checked

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Calculating a discount is one of the most useful math skills you can learn. You can apply it to tips at a restaurant, sales in stores, and setting rates for your own services. The basic way to calculate a discount is to multiply the original price by the decimal form of the percentage. To calculate the sale price of an item, subtract the discount from the original price.[1] You can do this using a calculator, or you can round the price and estimate the discount in your head.

Method 1

Method 1 of 3:

Calculating the Discount and Sale Price

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  1. 1

    Convert the percentage discount to a decimal. To do this, think of the percent number with a decimal to the right of the last digit. Move the decimal point two places to the left to get the converted decimal.[2] You can also use the 4 Ways to Calculate a Discount - wikiHow (5) sign on a calculator.

    • For example, you might want to calculate the sale price of a pair of shoes that is regularly $69.95. If the shoes are 25% off, you need to convert 25% to a decimal by thinking 4 Ways to Calculate a Discount - wikiHow (6).
  2. 2

    Multiply the original price by the decimal. You can multiply the decimal by hand, or use a calculator. This will tell you the discount, or what value is being taken off the original price.[3]

    • For example, to find the 25% discount on a pair of $69.95 shoes, you would calculate 4 Ways to Calculate a Discount - wikiHow (8).

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  3. 3

    Subtract the discount from the original price. To subtract decimals, line up the decimal points and subtract as you would whole numbers. Be careful to drop the decimal point down into your answer. You can also use a calculator. The difference will be the sale price of the item.[4]

    • For example, if a pair of shoes that are originally $69.95 have a discount of $17.49, calculate the sale price by subtracting:4 Ways to Calculate a Discount - wikiHow (10). So, the shoes are on sale for $52.46.
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Method 2

Method 2 of 3:

Estimating the Discount and Sale Price

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  1. 1

    Round the original price to the nearest ten. Use normal rounding rules to round up or down. Doing this will make it easier to calculate the percent discount of the number.

    • For example, if the original price of a shirt is $47.89, round the price up to $50.00
  2. 2

    Calculate 10 percent of the rounded price. To mentally calculate 10% of a price, think of the price written as dollars and cents with a decimal point. Then, move the decimal point one place to the left. This will show you the number that is equal to 10%.[5]

    • For example, to calculate 10% of $50, think 4 Ways to Calculate a Discount - wikiHow (14). So, 5 is 10% of 50.
  3. 3

    Determine the number of tens in the percent off. To figure out the number of tens, divide by the percentage by 10 using normal division rules. Don’t worry about fives in the percentage for now.

    • For example, if a shirt is 35% off, you would need to know how many tens are in 35. Since 4 Ways to Calculate a Discount - wikiHow (16), there are 3 tens in 35.
  4. 4

    Multiply 10% of the rounded price by the appropriate factor. The factor is determined by the number of tens in the percent off. Since you determined what 10% of the price is, find a larger percent by multiplying by the number of tens.[6]

    • For example, if you found that 10% of $50 is 5, to find out how much 30% of 50 is, you would multiply $5 by 3, since there are 3 tens in 30: 4 Ways to Calculate a Discount - wikiHow (18). So, 30% of $50 is $15.
  5. 5

    Calculate 5% of the rounded price, if necessary. You will need to do this step if the percent off discount ends in a 5 rather than a 0 (for example, 35% or 55% off). It is easy to calculate 5% by simply dividing 10% of the original price by 2, since 5% is half of 10%.

    • For example, if 10% of $50 is $5, then 5% of $50 is $2.50, since $2.50 is half of $5.
  6. 6

    Add the remaining 5% to the discount, if necessary. This will give you the total estimated discount of the item.

    • For example, if a shirt is 35% off, you first found 30% of the original price was $15. Then you found that 5% of the original price was $2.50. So adding the values of 30% and 5%, you get 4 Ways to Calculate a Discount - wikiHow (21). So, the estimated discount of the shirt is $17.50.
  7. 7

    Subtract the discount from the rounded price. This will give you an estimate of the sale price of the item.

    • For example, if the rounded price of a shirt is $50, and you found the 35% discount to be $17.50, you would calculate 4 Ways to Calculate a Discount - wikiHow (23). So, a $47.89 shirt that is 35% off is about $32.50 on sale.
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Method 3

Method 3 of 3:

Completing Sample Problems

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  1. 1

    Calculate the exact sale price. A television is originally priced at $154.88. It now has a 40% discount.

    • Convert the percentage discount to a decimal by moving the decimal two places to the left: 4 Ways to Calculate a Discount - wikiHow (26).
    • Multiply the original price by the decimal: 4 Ways to Calculate a Discount - wikiHow (27).
    • Subtract the discount from the original price: 4 Ways to Calculate a Discount - wikiHow (28). So, the sale price of the television is $92.93.
  2. 2

    Find the exact sale price of a camera that is 15% off. The original price is $449.95.

    • Convert the percentage discount to a decimal by moving the decimal two places to the left: 4 Ways to Calculate a Discount - wikiHow (30).
    • Multiply the original price by the decimal: 4 Ways to Calculate a Discount - wikiHow (31).
    • Subtract the discount from the original price: 4 Ways to Calculate a Discount - wikiHow (32). So, the sale price of the camera is $382.46.
  3. 3

    Estimate the sale price. A tablet is regularly $199.99. On sale, it is 45% off.

    • Round the original price to the nearest ten. Since $199.99 is only 1 cent away from $200, you would round up.
    • Calculate 10% of the rounded price. Moving the decimal one place to the left, you should see that 10% of $200.00 is $20.00.
    • Determine the number of tens in the percent off. Since 4 Ways to Calculate a Discount - wikiHow (34), you know that there are 4 tens in 45%.
    • Multiply 10% of the rounded price by the appropriate factor. Since the percentage off is 45%, you would multiply 10% of the rounded price by 4: 4 Ways to Calculate a Discount - wikiHow (35)
    • Calculate 5% of the rounded price. This is half of 10%, which is $20. So half of $20 is $10.
    • Add the remaining 5% to the discount. 40% is $80, and 5% is $10, so 45% is $90.
    • Subtract the discount from the rounded price: 4 Ways to Calculate a Discount - wikiHow (36). So the estimated sale price is $110.
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Calculator, Practice Problems, and Answers

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  • Question

    How do I calculate a discount if the rate is unknown?

    4 Ways to Calculate a Discount - wikiHow (40)

    Judy McGuirk

    Community Answer

    Assuming you know the original price and the sale price of an item, subtract sale price from original price to determine the discount amount. Next, divide the discount amount by original price.Convert this decimal amount into a percentage. This percent is the discount rate. For an example, a lamp shows a discount price of $30 with an original price of $50. $50 - $30 = $2020 / 50 = 0.400.40 = 40%

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    If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission.Support wikiHow

    Not Helpful 24Helpful 143

  • Question

    A product that regularly sells for $425 is marked down to $318.75. What is the discount rate?

    4 Ways to Calculate a Discount - wikiHow (41)

    Lorejane Castillo

    Community Answer

    If the product regular price is $425 and the discounted price is $318.75. Divide the disc. price to orig. price EX. 318.75 / 425= 0.75, then multiply the 0.75 into 100 and 100 is the total % of an item Ex. 0.75x100= 75, now subtract the 100 to 75 . Ex. 100- 75= 25%. So the discount rate is = 25%.

    Thanks! We're glad this was helpful.
    Thank you for your feedback.
    If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission.Support wikiHow

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    Not Helpful 43Helpful 72

  • Question

    Can I convert the decimal to a fraction, then multiply by the original price?

    4 Ways to Calculate a Discount - wikiHow (42)

    Community Answer

    Yes, as long as your conversion is right.

    Thanks! We're glad this was helpful.
    Thank you for your feedback.
    If wikiHow has helped you, please consider a small contribution to support us in helping more readers like you. We’re committed to providing the world with free how-to resources, and even $1 helps us in our mission.Support wikiHow

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      • You can also calculate the sale price automatically, instead of subtracting the discount from the original price. Subtract the discount percentage from 100. For example, if your discount is 30 percent, your remaining price will be 70 percent of its original price. Then, use the same methods to calculate 70 percent of the original price to find your new price.[7]

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      • Download a dedicated discount calculator on your smartphone. Search for “discount calculator” in Google Play or the App Store. Then, open it and click the button to set the percentage discount and type in your item price. Press “Calculate” to find your discount.

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      About This Article

      4 Ways to Calculate a Discount - wikiHow (54)

      Reviewed by:

      Grace Imson, MA

      Math Teacher

      This article was reviewed by Grace Imson, MA. Grace Imson is a math teacher with over 40 years of teaching experience. Grace is currently a math instructor at the City College of San Francisco and was previously in the Math Department at Saint Louis University. She has taught math at the elementary, middle, high school, and college levels. She has an MA in Education, specializing in Administration and Supervision from Saint Louis University. This article has been viewed 1,437,915 times.

      187 votes - 65%

      Co-authors: 22

      Updated: February 11, 2024

      Views:1,437,915

      Categories: Economics

      Article SummaryX

      To calculate a discount, start by converting the discount percentage to a decimal. Think of the percent number with a decimal to the right of the last digit, then move the decimal point two places to the left to convert it. Next, multiply the original price by the decimal either by hand or by using a calculator. This gives you the discount amount, or what value is being taken off the original price. Then, subtract the discount amount from the original price to figure out the discounted price. If you want to learn how to quickly estimate the discounted price for an item, keep reading the article!

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