Hi there. In this post, I cover the topic of converting percents into fractions. It is assumed that the reader/student is comfortable with multiplication, division and multiplying fractions.

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## One Percent As One Out Of 100

The concept of a percent means to take a part of something. One percent is one out of 100. As a fraction, 1 percent is expressed as 1/100.

Five percent would be 5 out of 100 which can be reduced to 1 out of 20 from divided both 5 and 100 by 5.

Ten percent would be 10 out of 100 which can be reduced to 1 out of 10.

**Other Common Percentages With Their Equivalent Fractions**

Percentage | Fraction |
---|---|

20% | 1/5 |

25% | 1/4 |

50% | 1/2 |

75% | 3/4 |

100% | 1/1 or just 1 as in 1 whole |

## Percents Above 100%

There are cases where percentages are above 100%. It looks scary when it comes to dealing with such percentages but it is not that bad.

In general we have:

Something like 200% would be 200 out of 100. This 200 out of 100 can be seen as 200 divided by 100 which is just 2.

Having 750% would be 7 and a half.

## Percentages With Decimals

There are cases where percentages do contain decimals. Converting these percentages into fractions does take a little bit more work. Keep in mind that fractions do not typically contain decimals and the fractions should have whole numbers in the top (numerator) and the bottom (denominator).

**Example One**

Expressing 1.1% as a fraction.

Note that I multiply both 1.1 and 100 by 10 to make 1.1 into 11 and the 100 into 1000.

**Example Two**

Expressing 120.7% as a fraction.

## Keyword Of Means Multiply

The previous sections dealt with just the percents itself. When the keyword of is included you are taking a percentage of something. Another way to think about this is taking a portion/part of something. This is where multiplying fractions comes in.

**Example One**

What is 10% of 1200?

Before the setup, note that 10% is 10 out of 100 or 1 out of 10. The keyword of means multiply. We have the following calculations.

**Example Two**

Determine the amount of 210% of 24.

**Example Three**

How much is 2.3% of 88?

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