Percentage
Percentage basically means a part per hundred. A fraction whose denominator is 100 is called a percentage .
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 
It is represented by % symbol. In all the fractions where the denominator is 100 we remove the denominator and put the % sign.
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
Let us understand with help of some examples.
Example: Calculate 10% of 80.
Solution: Let 10% of 80 = X10/100 * 80 = X
X = 8
Example: The number 450 is what percentage of 1200?
Solution: = (450/1200) × 100By simplifying the fraction, we get
= (3/8) × 100
= 0.375 × 100
= 37.5%
So, the number 450 is 37.5% of 1200.
Example: Convert 0.32 to percentage.
Solution: Multiplying 0.32 by 100, we get 0.32 × 100 = 32% as the answer.Example: Convert the fraction 23/25 to percentage.
Solution: Converting 23/25 to a decimal value, we get 0.92.So, 0.92 × 100 = 92% is the answer.
The percentage increase is equal to the subtraction of the original number from a new number, divided by the original number and multiplied by 100.
% increase = [(New number – Original number)/Original number] x 100
where, increase in number = New number – original number
Similarly, a percentage decrease is equal to the subtraction of a new number from the original number, divided by the original number and multiplied by 100.
% decrease = [(Original number – New number)/Original number] x 100
Where decrease in number = Original number – New number
194 videos156 docs192 tests

Practice Questions: Percentages Doc  6 pages 
Overview: Percentages Doc  6 pages 
Multiplying Factor: Percentages Video  02:45 min 
1. What is the formula for calculating percentages? 
2. How can percentages be used in everyday life? 
3. What is the difference between a percentage increase and a percentage decrease? 
4. How can percentages be converted into fractions and decimals? 
5. How can percentages be used in financial calculations? 
194 videos156 docs192 tests

Practice Questions: Percentages Doc  6 pages 
Overview: Percentages Doc  6 pages 
Multiplying Factor: Percentages Video  02:45 min 

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