If you are eager to know what is meant by Percentage and how to calculate the Percentage of a Number this is the right place. Learn how to find the Percentage of a Number in the later sections. Refer to the Solved Examples explained along with step-by-step solutions for a better idea of the concept.
How to find the Percentage of a Number?
Follow the simple and easy guidelines listed below for finding the Percentage of a Number. They are as such
Step 1: Obtain the given number.
Step 2: Multiply the number with the required percentage.
Consider the number to be n and the percentage be m. Then the percentage of a number is m% of n i.e. m/n*100
Solved Examples for finding the Percentage of a Number
1. Find 10% of $1500?
Solution:
= 10/100*1500
= $150
Therefore, 10% of $1500 is $150.
2. Find 12/2% of 120?
Solution:
Given 12/2% of 120
= (12/2)/100*120
= 6/100*120
= 720/100
= 7.2
Therefore, 12/2% of 120 is 7.2
3. Find the Number if 25% of it is 200Km?
Solution:
Let the number be m
25%*m = 200 km
25/100*m = 200
m = (200*100)/25
= 800
4. Find the 13% of 169?
Solution:
Given 13% of 169
= 13/100*169
= 2197/100
= 21.97
How to find New Number if a number is increased or decreased by a certain percentage?
(i) If a number increases by x %, then the new number can be obtained by the formula (1 + x/100) × given number.
(ii) If a number decreases by x %, then new number can one obtained using the formula (1 – x/100) × given number.
Solved Examples
1. What is the New Number if a Number 200 increases by 15%?
Solution:
If a Number increases by x% then the new number can be obtained using the formula (1+x/100)*given number
= (1+15/100)*200
= (115/100)*200
= 230
Therefore, the New Number is 230.
2. What is the New Number if a Number 350 decreases by 25 %?
Solution:
If a Number decreases by x% then the new number can be obtained using the formula (1-x/100)*given number
substituting the given values we have the equation as under
= (1-25/100)*350
= (75/100)*350
= 262.5
Therefore, the New Number is 262.5
