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# Percents as Decimals

## Rewrite percents as decimals.

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Percents as Decimals
Credit: Dakota Ray
Source: https://www.flickr.com/photos/dakotaray/5855339649

The school is fundraising for a new gym. An amusement park owner has agreed to have a fundraiser at his park. He plans to donate 15% of every dollar spent at the park to the gym fund. How much of every dollar will be donated to the school? Write the amount as a decimal.

In this concept, you will learn how to write percents as decimals.

### Writing Percents as Decimals

Percents and decimals are parts of a whole. A percentage is a quantity out of 100. A decimal number with two decimal digits also represents a quantity out of 100.

Compare 34% and 0.34.

34% is 34 out of 100.The decimal 0.34 is 34 hundredths or 34 out of 100. Both quantities represent the same ratio.

A percents can be written as a decimal by replacing “out of 100” with “hundredths.” Remove the percent symbol and move the decimal point two places to the left.

Here is a percent:

45%.\begin{align*}45\%.\end{align*}

Write 45% as a decimal.

First, remove the percent symbol.

45\begin{align*}45\end{align*}

Then, move the decimal point two places to the left. Remember that the decimal point is located between the ones and the tenths place.

0.45\begin{align*}0.45\end{align*}

45% is written as 0.45.

Let’s look at another percent.

5%\begin{align*}5\%\end{align*}

Write 5% as a decimal.

First, remove the percent symbol.

5\begin{align*}5\end{align*}

Then, move the decimal point in two places to the left. There is no number to the left of 5. Use zero as a place holder.

0.05\begin{align*}0.05\end{align*}

5% is written as 0 .05

### Examples

#### Example 1

Earlier, you were given a problem about the school fundraiser at the amusement park.

15% of every dollar will be donated towards the school. Convert the percent to a decimal to find how much per dollar will be donated.

Write 15% as a decimal.

First, remove the percent symbol.

15\begin{align*}15\end{align*}

Next, move the decimal point two places to the left.

0.15\begin{align*}0.15\end{align*}

0.15 of every dollar will be donated to the school. Then, multiply $1 by 0.15.$1×0.15=0.15\begin{align*}\1\times 0.15 = \ 0.15\end{align*}0.15 or 15 cents of every dollar will go to the school.

#### Example 2

Write 15% as a decimal.

First, remove the percent symbol.

15\begin{align*}15\end{align*}

Then, move the decimal point two places to the left.

0.15\begin{align*}0.15\end{align*}

15% is written as 0 .15

Write the following percents as a decimal.

#### Example 3

Write 17% as a decimal.

First, remove the percent symbol.

17\begin{align*}17\end{align*}

Then, move the decimal point in two places to the left.

0.17\begin{align*}0.17\end{align*}

17% is written as 0.17.

#### Example 4

Write 25% as a decimal.

First, remove the percent symbol.

5\begin{align*}5\end{align*}

Then, move the decimal point in two places to the left.

0.25\begin{align*}0.25\end{align*}

25% is written as 0.25.

#### Example 5

Write 75% as a decimal.

First, remove the percent symbol.

75\begin{align*}75\end{align*}

Then, move the decimal point in two places to the left.

0.75\begin{align*}0.75\end{align*}

75% is written as 0.75.

### Review

Write each percent as a decimal.

1. 54%
2. 11%
3. 6%
4. 12%
5. 89%
6. 83%
7. 19%
8. 4%
9. 9%
10. 32%
11. 65%
12. 88%
13. 78%
14. 67.5%
15. 18.2%

To see the Review answers, open this PDF file and look for section 8.11.

### Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes

### Vocabulary Language: English

Decimal

In common use, a decimal refers to part of a whole number. The numbers to the left of a decimal point represent whole numbers, and each number to the right of a decimal point represents a fractional part of a power of one-tenth. For instance: The decimal value 1.24 indicates 1 whole unit, 2 tenths, and 4 hundredths (commonly described as 24 hundredths).