How to Calculate Percentage

Before knowing about how to calculate a percentage, let us know what a percentage is? In this article, we will discuss in detail what is a percentage, how to calculate the percentage of marks, how to calculate the percentage of a number using the percentage formula with examples.

Percentage Meaning

Percentage means a number or a ratio expressed in terms of fractions of 100. It is denoted using the percentage sign “%”. The abbreviation used to represent the percentage is “pct” or “pc”. In other words, the per cent or the percentage is defined as how much of one quantity is made by the other quantity and it is evaluated in relation to 100.

Percentage Formula

The percentage formula is

Percentage, % = (Value * 100) / Total Value

Some other important percentage formulas are

Percentage Change Formula

% change = ((New value – Original Value) * 100) / Original Value

There are two different types of the percentage change. They are

    • Percentage Increase
    • Percentage Decrease

Percentage Error Formula

% error = (error * 100) / real value

Also, Read:

How to calculate the Percentage of a Number

Generally, the numbers that are converting into percentage is given in two formats.

  • Decimal form – If the number is given in decimal format, it is easy to find the percentage. To obtain the percentage, multiply the given number by 100. For example, the given number is 0.45. To convert into a percentage, 0.45 * 100 = 45%
  • Fraction form: If the number is given in fractional format, first convert into decimal value by dividing the top value by the total value and then multiply with 100.

By using percentage formulas, it is easy to know how to calculate the percentage of marks, discount etc.

How to calculate Percentage of  Marks

A percentage is a number that is expressed as a fraction of 100. Here, how to calculate the percentage of marks is explained in detail.

To find the percentage of the marks, divide the total scores with marks obtained in the examination and multiply the result with 100.

Example: If 1156 is the total score obtained in the examination out of 1200 marks, then divide 1156 by 1200, and then multiply it by 100.

It means that,

Percentage of marks =(1156/1220) x 100

Percentage= 0.9633 x 100

Therefore, the percentage of marks obtained is 96.3%

Difference Between Percentage and Percentile

In most of the cases, many people might get confused with percentage and percentile. Both are different. Here, the difference between percentage and percentile is given in detail.

Percentage Percentile
The percentage represents the number out of 100 Percentile is not a number out of 100
It can be written as ratios or proportions It cannot be written as ratios or proportions
A percentage is not a value in below which certain values are found Percentile is a value below which certain values are found
It is not based on ranking numbers It is based on ranking numbers
It is written in the form of x% It is written in the form of xth
It is based on one case Comparison of one case with other
It does not rely on the normal distribution It relies on the normal distribution

Calculating Percentage Examples

Question 1: There are 120 students in a class. Out of them, 60 students are boys. Find the percentage of boys in the class

Solution:

Given:

Total number of students in class = 120

Number of boys in class = 60

Therefore, the percentage of boys in class = ( 60 *100)/120

= 600/12 = 50

So, the percentage of boys in class = 50%

Question 2: To find 25 % of 10

Solution:

Remember that “of” means “times”

So, Percentage = (25/100) * 10

% = 0.25* 10 = 2.5

Therefore, 25% of 10 is 2.5

In most of the cases. many people might get confused with percentage and percentile. Both are different. Here, the difference between percentage and percentile is given in detail.

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