PERCENTAGE |Part-1| CUET L-11

Percentage

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”. 

 

Examples of percentages are:

 

10% is equal to 1/10 fraction

20% is equivalent to ⅕ fraction

25% is equivalent to ¼ fraction

50% is equivalent to ½ fraction

75% is equivalent to ¾ fraction

90% is equivalent to 9/10 fraction

 

Percentages have no dimension. Hence it is called a dimensionless number. If we say, 50% of a number, then it means 50 per cent of its whole.

 

Percentages can also be represented in decimal or fraction form, such as 0.6%, 0.25%, etc. In academics, the marks obtained in any subject are calculated in terms of percentage. Like, Ram has got 78% of marks in his final exam. So, this percentage is calculated on account of the total marks obtained by Ram, in all subjects to the total marks.

 

Table of contents:

Formula

How to Find Percentage

Percentage Difference

Percentage Increase and Decrease

Example

Percentage table

Fraction to percentage

Percentage vs Per cent

Percentage in Maths

Tricks

Marks Percentage

Solved problems

FAQs

 

Percentage Formula

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.

 

Percentage formula = (Value/Total value) × 100

 

Example: 2/5 × 100 = 0.4 × 100 = 40 per cent

 

How to calculate the percentage of a number?

To calculate the percentage of a number, we need to use a different formula such as:

 

P% of Number = X

 

where X is the required percentage.

 

If we remove the % sign, then we need to express the above formulas as;

 

P/100 * Number = X

 

Example: Calculate 10% of 80.

 

Let 10% of 80 = X

 

10/100 * 80 = X

 

X = 8

 

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