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What Percentage Is 5 Of 15

Use our percentage calculator to work out increases, decreases or percentage differences. Common uses include calculating tax, statistics, savings increases, and tips on a restaurant bill.

Table of contents:

  • Percentage calculator
  • What is a percentage?
  • What is the percentage of Y?
  • How to calculate X percent of Y
  • How to calculate a percentage increase or decrease
  • X is Y percentage of what number?

What is a percentage?

A percentage is a number that expresses a portion or proportion of a whole in relation to 100. As an example, if 80% of a class passed an exam, it means that 80 out of every 100 students in the class achieved a passing grade.

Percentages are represented by the symbol “%” and provide a standardized method to compare quantities or indicate changes. You’ll find them used in fields such as finance and statistics, and you’ll likely use them within everyday situations, such as splitting a bill, calculating a gratuity or working out a discount.

Let’s take a look at how to calculate percentages.

What is the percentage of Y?

To calculate a percentage based upon a part (X) and a total (Y), divide the value of the part (X) by the total or whole amount (Y). Then, multiply the result by 100.

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As an example, if you want to find what percentage 15 is of 300, you would divide 15 by 300, resulting in 0.05. Multiplying 0.05 by 100 gives you 5%.

  1. Divide the part figure by the whole figure. So, in the case of our example: 15/300 = 0.05.
  2. Convert this into a percentage figure by multiplying by 100. So, 0.05 x 100 = 5.
  3. This gives you your answer. 15 is 5% of 300.

The formula for the calculation looks like this:

You can find out more about how to calculate simple percentage increases and decreases in our article here.

Let’s look at some other types of percentage calculation…

How to calculate X percent of Y

In order to explain how to do this calculation, we’ll replace the X and Y with a couple of figures. Let’s say the question is: What is 10% of 200?. Here’s how to do it:

  1. Change the percentage figure into a decimal by dividing the figure by 100. So, 10% becomes 10/100 = 0.1.
  2. Multiply the decimal figure by the full amount. So, 0.1 x 200 = 20.
  3. This gives you your answer. 10% of 200 is 20.

The formula for this calculation looks like this:

How to calculate a percentage increase or decrease

Continuing the theme, let’s add some example figures into our calculation. Let’s say the question is: What is the percentage increase from 40 to 68? We can use the percentage change calculator. Or we can work the calculation out manually…

  1. Subtract X from Y and then divide it by X. In the case of our example it would be (68-40) / 40. Note that we’ve put brackets around the first part to ensure this is done first (PEMDAS).
  2. (68-40) / 40 gives us a result of 0.7. To convert this into a percentage we multiply it by 100. So, 0.7 x 100 = 70.
  3. This gives you your answer. The percentage increase from 40 to 68 = 70%.
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Here’s the formula for this calculation:

X is Y percentage of what number?

Let’s again replace the X and Y with a couple of figures. Let’s say the question is: 5 is 20% of what number?.

  1. Change the Y percentage figure into a decimal. We do this by dividing the figure by 100. So, 20% becomes 20/100 = 0.2.
  2. Divide our X figure by our Y figure. so, 5 / 0.2 = 25.
  3. This gives you your answer. 5 is 20% of 25.

Here’s the formula:

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