How to Calculate percentages

Introduction:

              Percentage is defined as out of 100 or  for every 100. It is represented by the symbol `%`. A percentage is a way of expressing a number as a fraction of 100. Percentages are used to express how large/small one quantity is, relative to another quantity.

For example, 45% (read as "forty-five percent") is equal to 45 / 100, or 0.45.

Example 1:

The state of Georgia in the United States has a population of 10 million. If the population above 40 years of age is 2 million, what is the percentage of population above 40 years of age?

Solution:

Total Population = 10 million

Population above 40 years = 2 million

Fraction of population above 2 million = 2million/ 10 million = 1/5

Percentage of population above 2 million = fraction of population above 2 million . 100

= 1/5. 100 = 20%

This example suggests that the fraction of something or the percentage of something is very closely related. Let us try one more problem of a slightly complicated nature.

Calculate the percentage of population who are between the ages of 40 and 60(not including 40 and 60) given the following information.

1. Total population is 10 million
2. Population above 40 yrs is 6 million
3. Population above 60 yrs is 2 million                                                                                                                                                                                                                                                                                                                                                                     Hope you like the above explanation. Please leave your comments, if you have any doubts.