Converting a Fraction with a Denominator of 100 to a Percentage

Percent means over 100 or out of 100. For example, 50 per cent written with the per cent symbol %, 50% is equal to 50 over 100 or $frac{50}{100}$.

50% = $frac{50}{100}$

Formula

So, any fraction with a denominator of 100 can be written down as a percentage as follows

As we have seen above, $frac{50}{100}$ = 50%

Similarly, $frac{8}{100}$ = 8%; $frac{10}{100}$ = 10%; $frac{24}{100}$ = 24% and so on

So, for any number x, $frac{x}{100}$ = x%

Convert the following fraction to a per cent −

$mathbf{frac{52}{100}}$

Solution

Step 1:

By definition, for any number x, $frac{x}{100}$ = x%.

Step 2:

So, $frac{52}{100}$ = 52%

Convert the following fraction to a per cent

$mathbf{frac{29}{100}}$

Solution

Step 1:

By definition, for any number x, $frac{x}{100}$ = x%.

Step 2:

So, $frac{29}{100}$ = 29%

Convert the following fraction to a per cent

$mathbf{frac{8}{100}}$

Solution

Step 1:

By definition, for any number x, $frac{x}{100}$ = x%.

Step 2:

So, $frac{8}{100}$ = 8%