Convert Percent to Fraction
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The important fact to remember when dealing with percentages is that percent means 'out of 100'. To convert a percentage to a fraction, follow the steps below:

Step 1) Change your percentage to a fraction by putting the percentage number over a denominator of 100.

Step 2) Change it to simplest form if required.

You have now changed your percentage to a fraction.

Examples

Example 1: Convert 35% into a fraction in its simplest form.

To convert the percentage to a fraction we put the percentage number over a denominator of 100.

So we have \[ 35\% \; = \; {35 \over 100} \]

Next we need to change the fraction to simplest form. In this case, by dividing the numerator and denominator by 5.

\[{35 \over 100} \; = \; {35 ÷ 5 \over 100 ÷ 5} \; = \; {7 \over 20} \]

So we have \[ 35\% \; = \; {35 \over 100} \; = \; {7 \over 20}\]

Example 2: Convert 57% into a fraction.

To convert the percentage to a fraction we put the percentage number over a denominator of 100.

So we have \[ 57\% \; = \; {57 \over 100} \]

This fraction is already in simplest form.

So we have \[ 57\% \; = \; {57 \over 100} \]

Example 3: Convert 132% to a mixed fraction.

To convert the percentage to a fraction we put the percentage number over a denominator of 100.

So we have \[ 132\% \; = \; {132 \over 100} \]

Next we need to change the fraction to simplest form. In this case, we can divide the numerator and denominator by 4.

\[ {132 \over 100 } \; = \; {132 ÷ 4 \over 100 ÷ 4} \; = \; {33 \over 25} \]

Next we need to convert it to a mixed fraction (or mixed number).

\[ {33 \over 25} \; = \; 1 {8 \over 25} \]

So we have \[ 132\% \; = \; {33 \over 25} \; = \; 1 {8 \over 25}\]

Example 4: Convert 225% to an improper fraction.

To convert the percentage to a fraction we put the percentage number over a denominator of 100.

So we have \[ 225\% \; = \; {225 \over 100} \]

Next we need to change the fraction to simplest form. In this case, we can divide the numerator and denominator by 25.

\[ {225 \over 100 } \; = \; {225 ÷ 25 \over 100 ÷ 25} \; = \; {9 \over 4} \]

So we have \[ 225\% \; = \; {225 \over 100} \; = \; {9 \over 4}\]