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Calculating a 10 Percent Discount: How-to & Steps

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  • 0:04 The Steps
  • 1:05 The Solution
  • 1:35 Real-World Example
  • 2:37 Lesson Summary
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Lesson Transcript
Instructor
Yuanxin (Amy) Yang Alcocer

Amy has a master's degree in secondary education and has taught math at a public charter high school.

Expert Contributor
Kathryn Boddie

Kathryn earned her Ph.D. in Mathematics from UW-Milwaukee in 2019. She has over 10 years of teaching experience at high school and university level.

After this video lesson, you'll know how to calculate a 10 percent discount easily. We'll go over the steps of calculating a 10 percent discount and look at a real-world example.

The Steps

A discount is a deduction from a certain amount. So being able to calculate a discount tells you how much money off of a certain dollar amount you're taking. To calculate a 10 percent discount, there are only two steps you need to follow.

Step 1 is to convert your percentage to a decimal. To convert your 10 percent into a decimal, you divide by 100.

10 / 100 = 0.1

This tells you that 10 percent as a decimal is 0.1. If you can remember that 10 percent is 0.1, you'll be able to solve this type of problem quickly and easily, no matter what your original amount is.

Step 2 is to multiply your original price by your decimal. When you are working with a 10 percent discount, you will always multiply your original price by 0.1, which is 10 percent as a decimal. When we put these steps together, we get the formula for calculating a 10 percent discount, which is:

original price * 0.1 = discount

The Solution

Now that we know the formula, let's practice using it to find a 10 percent discount when the original price for an item is $14.

First, you convert your 10 percent into a decimal, which we already know gives you 0.1. Next, you multiply your original price by your decimal. Our calculation is:

$14 * 0.1 = $1.40

So, a 10 percent discount off of $14 gives you a discount of $1.40. Not bad.

Real-World Example

Now, let's look at a real-world example of calculating a 10 percent discount.

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Additional Activities

Using Knowledge of 10% to Calculate a Tip

In the video lesson, we learned how to calculate a 10% discount. The 10% discount is found by calculating 10% of the original price by first writing 10% as a decimal, 0.1 and then multiplying the original price by 0.1. Let's see if we can find a pattern in how to calculate 10%


Examples

Find 10% of the following values

1) $24.50

2) $12.25

3) $37.22


Solutions

1) We multiply the $24.50 by 0.1 and get $2.45

2) We multiply the $12.25 by 0.1 and get $1.225 or about $1.23

3) We multiply the $37.22 by 0.1 and get $3.722 or about $3.72


Discussion

Do you notice a pattern in what 10% of a price looks like? Is there a quick way to get the answer without having to multiply by hand or with a calculator?


Results of Discussion

Many students will notice that 10% of a price looks like the same price with the decimal point moved one spot to the left. In fact, 10% can always be calculated by moving the decimal point one spot to the left.


Application to other Percentages

Let's say you go out for dinner and want to leave a good tip of 20% for your waiter. How can we use our knowledge of 10% to calculate the tip?


20% is the same thing as 10% multiplied by 2. To easily calculate a good tip of 20%, we can move the decimal point of the bill over one spot to the left (this is 10%) and then multiply by 2. A simple 20% tip with no calculator!


For example, if the total bill at a restaurant is $32.70, and you wish to leave a 20% tip, first find 10% by moving the decimal point one spot left. 10% of $32.70 is $3.27. Then, to find 20%, simply multiply the $3.27 by 2. 20% of the bill is $6.54.


Examples

1) What is a 20% tip for a $12.50 meal?

2) What is a 20% tip for a $27.33 meal?

3) What is a 20% tip for a $14.42 meal?


Solutions

1) 10% of $12.50 is $1.25. Multiply by 2 to get 20%, which is $2.50.

2) 10% of $27.33 is $2.733 or about $2.73. Multiply by 2 to get 20%, which is $5.46.

3) 10% of $14.42 is $1.442 or about $1.44. Multiply by 2 to get 20%, which is $2.88.

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