# A Quick Tutorial on How to Do Percentages

If you are completely clueless about calculation of percentages, we will help you out.

ScienceStruck Staff

Last Updated: Sep 6, 2018

Definition

The literal meaning of 'percentage' is '

*per 100 parts*'. In actuality, it is a ratio of a part, to a whole, which has been divided into hundred parts. Suppose you buy a plum cake from a bakery and divide it into 100 exact parts. If you eat 5 pieces, then one could say that you ate 5 percent of the cake.Formula

Words cannot really do justice, when it comes to explaining mathematics. A math concept is best explained through equations and formulas. The true language of mathematics is expressed through symbols, formulas, and equations. The formula for calculating percentage is :

*Percentage (%) = (Part/Whole) x 100*(80/100) x 200 = 160

Let us see how to find the percentage, using the mentioned formula.

Examples

Here are some examples which illustrate how to figure out percentages:

- 3/10 x 100 = 30%
- 80/160 x 100 = 50%
- 45/180 x 100 = 25%
- 5/50 x 100 = 10%

Consider that a bottle had 150 ml of water and you added 30 ml more. What is the percentage increase in water volume?

Referring to the formula, the 'part' added here is 30 ml, added to 150 ml of water. So the percentage increase would be :

*30 ml / 150 ml x 100 = 20%*

So one could say that there was a 20% increase in water volume.

On a Calculator

Calculators make our life simple and computing percentages using these devices is extremely simple. Suppose a student scored 450 marks out of a total of 600 and you need to calculate his percentage score, using a calculator. How do you do it?

Now enter the value 450 on the calculator, then hit the division sign and enter 600. After this, hitting the '=' sign will give you the value of the ratio=(450/600).

Now, hit the 'X' sign and enter 100. Hit the '=' sign again to know the percentage.