Percentage

The percentage is another way of comparisons. In ratios we have to make the denominator same then only we can compare them but in percentage, we can compare by calculating the percentage of the given quantity.

The percentage is the numerator of the fraction with the 100 denominators.

Example

What is the percentage of boys and girls in the class of 100 students if the number of boys is 55 and the number of girls is 45?

Solution

Percentage if the total is not a hundred

If the total number of quantity is not hundred i.e. the denominator is not hundred then to find the percentage we need to make the denominator 100.

Example

Out of 4 bees, 2 are going right and 2 are going left. So what percentage of bees is going right?

Out of 4 bees, the number of bees going right are 2. Hence, out of 100, the number of bees going right is

By making denominator 100

Out of 4 bees, the number of bees going right is 2.

Converting fractional numbers to percentage

Fractional numbers have different denominator and to convert them into percentage we have to multiply the fraction with the 100%.

Converting decimals to percentage

To convert the decimal into a percentage, first, we need to convert the decimal into fraction then multiply it by 100%.

Example

Convert 0.65 into a percentage.

Solution

Multiply the decimal with the 100%.

Converting Percentage to fractions or Decimals

We can reverse the above process to convert the percentage into fraction or decimal.

Parts always add to give a whole

If we know the one part of a whole then we can find the other part because all the parts together form a whole or 100%.

Example

If there are 25 men in the office of 100 employees then the remaining 75 would be women.

This means that if 25% are men the (100% – 25%) = 75% are women.

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