Converting a Fraction with a Denominator of 100 to a Percentage

Definition

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 5010050100.

50% = 5010050100

Formula

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

As we have seen above, 5010050100 = 50%

Similarly, 81008100 = 8%; 1010010100 = 10%; 2410024100 = 24% and so on

So, for any number x, x100�100 = x%Example 1

Convert the following fraction to a per cent −

5210052100

Solution

Step 1:

By definition, for any number x, x100�100 = x%.

Step 2:

So, 5210052100 = 52%Example 2

Convert the following fraction to a per cent

2910029100

Solution

Step 1:

By definition, for any number x, x100�100 = x%.

Step 2:

So, 2910029100 = 29%Example 3

Convert the following fraction to a per cent

81008100

Solution

Step 1:

By definition, for any number x, x100�100 = x%.

Step 2:

So, 81008100 = 8%