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 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.
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
- Percentage Increase Formula
- percentage Decrease Formula
- Percentage Change Formula
- Percentile Formula
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.
|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
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
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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