# ### Decimals to Percents

It is really easy to convert fractions to percentages, especially if you use a calculator. On this page, I’ll show you how to convert fractions to percentages with step-by-step instructions and examples.

If you need to know how to convert percentages to fractions or how to convert percentages to decimals, check out the linked pages.

## How to Convert Decimals to Percentages

1. Multiply the decimal by 100.
2. Write your answer with a percentage sign and check if it is reasonable.

## Examples

Convert this decimal to a percentage: $\frac{3}{4}$

What is the decimal form of $$\frac{3}{4}$$?

I need to divide the numerator by the denominator to convert the fraction to a decimal.

$3 \div 4 = 0.75$

What is the product of 0.75 and 100?

$0.75 \times 100 = 75$

Is it reasonable that $$\frac{3}{4}=75\%$$?

Yes, it is reasonable that they are equivalent because $$\frac{3}{4}$$ is between a half and a whole and $$75\%$$ is between $$50\%$$ and $$100\%$$.

$\frac{3}{4}=75\%$

Convert this decimal to a percentage: $\frac{9}{5}$

What is the decimal form of $$\frac{9}{5}$$?

I need to divide the numerator by the denominator to convert the fraction to a decimal.

$9 \div 5 = 1.8$

What is the product of 1.8 and 100?

$1.8 \times 100 = 180$

Is it reasonable that $$\frac{9}{5}=180\%$$?

Yes, it is reasonable that they are equivalent because $$\frac{9}{5}$$ is an improper fraction that is just a little bit less than 2 wholes and $$180\%$$ is just a little bit less than $$200\%$$.

$\frac{9}{5}=180\%$

Convert this decimal to a percentage: $\frac{5}{11}$

What is the decimal form of $$\frac{5}{11}$$?

I need to divide the numerator by the denominator to convert the fraction to a decimal.

$5 \div 11 = 0.45454545…$

If I want to, I can write the repeating decimal with a vinculum over the repeating digits.

$0.45454545…=0.\overline{45}$

What is the product of $$0.\overline{45}$$ and 100?

$0.\overline{45} \times 100= 45.454545…$

Is it reasonable that $$\frac{5}{11}=45.\overline{45}\%$$?

Yes, it is reasonable that they are equivalent because $$\frac{5}{11}$$ is just a little bit less than a half and $$45.\overline{45}\%$$ is just a little less than $$50\%$$.

$\frac{5}{11}=45.\overline{45}\%$

When you convert fractions to percentages, the second step is to multiply the decimal form of the fraction by 100.

You can do this by hand or with a calculator, but there is a really easy way to do it in your head. As I explain in more detail on this page, multiplying by 100 basically increases the entire number by 2 place values.

So, you can multiply any decimal by 100 in your head by moving the decimal to the right two place values.

$0.25 \times 100 = 25$

$0.04 \times 100 = 4$

$1.5 \times 100 = 150$

$0.\overline{3} \times 100 = 33.\overline{3}$

$0.\overline{27} \times 100 = 27.\overline{27}$

## Why It Works

Fractions and decimals are both methods that we use to represent parts of a whole.

Decimals represent wholes that have been split up into tenths, hundredths, thousandths, ten-thousandths, etc. Fractions represent wholes that have been split up into as many pieces as the denominator says.

The word “percent” literally means “per hundred” or “out of one hundred”.

Decimals reference 1 whole while So, $$75\%$$ means “75 out of 100”.

Fractions and decimals

This page explains why we can divide the numerator by the denominator to convert fractions to decimals.