#### Finding the percent

You just learned that 16 of your 32 cousins prefer chocolate ice cream to strawberry ice cream. You want to find out **what percentage** of your cousins likes chocolate ice cream. You can rewrite this example like this:

?% of 32 = 16

This time, the number we're missing is the **percent**. We want to know what percent is equal to 16 out of 32.

Click through the slideshow to learn how to find the percent.

We want to find out what **percent** of 32 is equal to 16.

First, we'll replace the word **of **with a multiplication sign.

This time, the **percent** is our **missing number**, so we can't turn it into a decimal. We'll leave it the way it is for now.

To get the missing number **alone** on one side of the equation, we'll divide 32 by itself.

To keep the two sides of the equals sign the same, we'll divide 16 by 32 too.

32 divided by 32 equals 1.

We'll replace 32 with 1 and divide the right side of the equation. 16 divided by 32 equals 0.50.

Since our missing number times 1 is equal to 0.50, our **missing** **number** is also equal to 0.50.

We'll rewrite 0.50 as a **percent** by moving the decimal point two places to the **right**. 0.50 is equal to 50%.

Now we can replace the question mark in our example with 50. So 16 is 50% of 32.

Let's try another example. We're going to find what **percent** is equal to 15 out of 300.

First, we'll replace the word **of **with a multiplication sign.

Again, we're missing the percent. So we can't turn the percent into a **decimal**.

We'll divide 300 by itself to get rid of it. To keep the two sides of the equation equal, we'll have to divide 15 by 300 too.

Let's start with the left side of the equation. 300 divided by 300 equals 1.

We'll replace the 300 with a 1. Now we'll divide the right side of the equation. 15 divided by 300 equals 0.05.

Our missing number times 1 equals 0.05. So our **missing number** is equal to 0.05 too.

Now we'll turn 0.05 into a **percent** by moving the decimal point two places to the right. 0.05 is equal to 5%.

Now we can replace the question mark in our original problem with 5%. So 15 is 5% of 300.

#### Try This!

Find the percent in each of these examples.

30 out of 50 of the stores in your neighborhood sell pickles. What percentage of the stores sell pickles?

There are 200 elderly people in your neighborhood. 80 of them don't know how to send text messages. What percentage of elderly people in your neighborhood don't know how to send texts?

Your local team has won 9 out of 45 basketball games in the past year. What percentage of games did the team win?

### Assessment

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