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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
License: CC BY-NC 3.0

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%.

Write 45% as a decimal.

First, remove the percent symbol.

45

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

45% is written as 0.45.

Let’s look at another percent.

5%

Write 5% as a decimal.

First, remove the percent symbol.

5

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

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

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

0.15

0.15 of every dollar will be donated to the school. Then, multiply $1 by 0.15.

$1×0.15=$0.15

$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

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

0.15

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

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

0.17

17% is written as 0.17.

Example 4

Write 25% as a decimal.

First, remove the percent symbol.

5

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

0.25

25% is written as 0.25.

Example 5

Write 75% as a decimal.

First, remove the percent symbol.

75

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

0.75

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%

Review (Answers)

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

Resources

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Vocabulary

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).

Image Attributions

  1. [1]^ Credit: Dakota Ray; Source: https://www.flickr.com/photos/dakotaray/5855339649; License: CC BY-NC 3.0

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