<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation

Decimals as Percents

Rewrite decimals as percents by moving the decimal point.

Atoms Practice
Estimated4 minsto complete
%
Progress
Practice Decimals as Percents
Practice
Progress
Estimated4 minsto complete
%
Practice Now
Decimals as Percents

Let’s Think About It

Credit: Kai Chan Vong
Source: https://www.flickr.com/photos/kaichanvong/3394556593
License: CC BY-NC 3.0

Jessica’s New Year’s resolution is to run one mile on her treadmill every day. On a random day in January, her treadmill readout shows that she ran 2.9 miles. What percent of her running goal did she achieve that day?

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

Guidance

You can write percents as decimals, and you can also write decimals as percents.

First, move the decimal point two places to the right. Add zeros to the right of the decimal point as placeholders, if necessary.

Then, write a % symbol after the resulting number.

Let’s apply these steps to an example.

Write 0.78 as a percent.

This decimal is already written in hundredths because there are two digits after the decimal point. All you have to do is move the decimal two places to the right and add a percent sign.

\begin{align*}0.78 = 78 \%\end{align*}

The answer is 0.78 written as a percent is 78%.

Let’s try another example.

Write 0.345 as a percent.

This decimal is written in thousandths because there are three digits after the decimal point. You only need to move the decimal point two places to the right to make it a percent, so you will have a digit left over that remains after the decimal point.

\begin{align*}0.345 = 34.5 \%\end{align*}

The answer is 0.345 written as a percent is 34.5%.

Notice that sometimes you can have a decimal in a percent. In this case, it means that you have 34 and one-half percent. Not all percents are whole percents.

Let’s try one more example.

Write 3.5 as a percent.

This decimal is written with a whole number and five tenths. You still move the decimal point to the right two places, adding a zero as a placeholder. Notice that because you have a whole number in front of the decimal point that the percent will be greater than 100.

\begin{align*}3.5 = 350 \%\end{align*}

The answer is 3.5 written as a percent is 350%.

Guided Practice

Write 0.6 as a percent.

This decimal is written in tenths because there is only one digit after the decimal point. When you move the decimal two places to the right, you will therefore need to add a zero placeholder.

\begin{align*}0.6 = 60 \%\end{align*}

The answer is 0.6 written as a percent is 60%.

Examples

Example 1

Write 0.45 as a percent.

This decimal is already written in hundredths because there are two digits after the decimal point. Therefore, all you have to do is move the decimal two places to the right and add a percent sign.

\begin{align*}0.45 = 45 \%\end{align*}

The answer is 0.45 written as a percent is 45%.

Example 2

Write 2.5 as a percent.

This decimal is written with a whole number and five tenths. You still move the decimal point to the right two places, adding a zero as a placeholder. Notice that because you have a whole number in front of the decimal point that the percent will be greater than 100.

\begin{align*}2.5 = 250 \% \end{align*}

The answer is 2.5 written as a percent is 250%.

Example 3

Write 0.875 as a percent.

This decimal is written in thousandths because there are three digits after the decimal point. You only need to move the decimal point two places to the right to make it a percent, so you will have a digit left over that remains after the decimal point.

\begin{align*}0.875 = 87.5 \%\end{align*}

The answer is 0.875 written as a percent is 87.5%.

Follow Up

Credit: Military Health
Source: https://www.flickr.com/photos/militaryhealth/8652397443/in/photolist-ebzNjg-9iqdjD-9ywd9n-4Zdaq7-8AQsJW-4bDm3m-4bDmCN-7oDyXc-ajrWgE-8Xzv3i-gkbFZk-67ykfe-6e18X3-6eeC6y-64egMX-6ea5Dc-rjq12u-85BBbw-6aXZpP-jEE2j9-r2VUod-4nD55s-5hX3pK-5bMjWd-8bBtSL-7sz57P-dpqUBk-76bG9Y-ts4VW3-pc3KEs-HJyNV-bEbD8b-4v1SMp-4yTFMR-a93DgW-jEE2sq-kL7qV-4etJjN-da7kpV-9nXrRi-ee6jnf-7gJ7Gn-bgP7PX-dk2zmA-dk2zq1-ahRmcc-4jNG2x-ei9xk7-edHHkW-jTKn7M
License: CC BY-NC 3.0

Remember Jessica and her New Year’s resolution? One day in January her treadmill readout recorded that she ran 2.9 miles. What percent of her 1-mile running goal did she achieve that day?

This decimal is written with a whole number and nine tenths.

First, move the decimal point to the right two places.

Then, notice that because you have a whole number in front of the decimal point that the percent will be greater than 100.

\begin{align*}2.9 = 290 \% \end{align*}

The answer is Jessica ran 290% of her 1-mile goal that day.

Video Review

https://youtu.be/SphqHJVVMak

Explore More

Write the following decimals as percents.

  1. 0.45
  2. 0.3
  3. 0.675
  4. 0.9
  5. 0.08
  6. 0.785
  7. 0.22
  8. 0.095
  9. 0.54
  10. 0.275
  11. 0.04
  12. 0.045
  13. 0.112
  14. 4.6
  15. 0.672

Vocabulary

Decimal

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).

Explore More

Sign in to explore more, including practice questions and solutions for Decimals as Percents.

Reviews

Please wait...
Please wait...

Original text