# How to Calculate Percentage (The Formula for Percentage).

How to calculate percentage (The Formula for Percentage), if asked to do so, at least may have been some real strenuous work for many of us who especially do not in any way have much flairs for figures, calculation, or computational analysis of any kind. But little did we know that the art of calculating percentage would have been the most sexiest if we could pay a little (just a little) attention.

The calculation of percentage in Mathematics is one of the easiest methods of summing up numbers either in businesses, or governments, and even in academics where it is necessary. A percentage is merely a number or ratio that represents a fraction of 100. It is often denoted by the symbol % as a short term for it. It, on the other way, is a dimensionless number (pure number); it has no unit of measurement.

For example, 45% (read as “forty-five percent”) is equal to the fraction 45/100, the ratio 45:55 (or 45:100 when comparing to the total rather than the other portion), or 0.45. Percentages are often used to express a proportionate part of a total.

Another example is that if 10% of the total number of students in the class are male, that means that 10 out of every 100 students are male. If there are 500 students, then 50 of them are male. You see? That there is really no big deal about the how to calculate percentage (The Formula for Percentage).

## How to Calculate Percentage (The Formula for Percentage).

Let me then take you through the very easy ways or calculation methods on how to calculate percentage (The Formula for Percentage). Check below:

##### 1. Calculate by Calculator

In modern times, the only way by which students or other individuals get results on their computations is through the use of the mechanical or scientific calculator which is quite easy and does require mental stress, nor the act of having to write it down on paper and then following the manual formula. For example: if you have an increase of \$0.15 on a price of \$2.50, the method of calculating it on the calculator is by making a fraction of 0.15/2.50 i.e. dividing 0.15 by 2.50 and then you will get 0.06 as your answer without stress. If want to then express it as a percentage, it becomes a 6% (six percent) increase.

##### 2. The Manual Method

Another very dependable way on how to calculate percentage (The Formula for Percentage) is using the brain and the hand on paper to get your answer. Thus, it always follows a method. Through this method you get your percentage when you divide a value by a total value multiplied by 100, and following that, you get your answer.

• For Example:  0.15/2.50×100 = 0.06 or 6%.
• To calculate a percentage of a percentage, convert both percentages to fractions of 100, or to decimals, and multiply them. For example, 50% of 40% is: 50/100 × 40/100 = 0.50 × 0.40 = 0.20 = 20/100 = 20%.
• An increase of 100% in a quantity means that the final amount is 200% of the initial amount (100% of initial + 100% of increase = 200% of initial). In other words, the quantity has doubled.
• An increase of 800% means the final amount is 9 times the original (100% + 800% = 900% = 9 times as large).
• A decrease of 60% means the final amount is 40% of the original (100% – 60% = 40%).
• A decrease of 100% means the final amount is zero (100% – 100% = 0%).

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