How to find the percentage of the given quantity?
We know, a percentage is a fraction with denominator as 100 i.e. % = 1/100. Therefore, to determine the exact value of a percent of a given quantity we need to express the given percent as fraction and multiply it by the given number.
We will follow the following steps for finding a percentage of a given number:
Step I: Obtain the number. Let the number be m.
Step II: Obtain the required percentage. Let it be R %.
Step III: To find R % of m, multiply m by R and then divide by 100; i.e. R % of m = R/100 × m
Following examples will help us to find the percentage of the given quantity using the above procedure.
Solved examples to find percent of a
given number:
1. Find 40 % of 240
Solution:
We know that R % of m is equal to R/100 × m.
So, we have 40 % of 240
40/100 × 240
= 96
2. 10 % of 1 hour
Solution:
We know that R % of m is equal to R/100 × m.
So, we have 10 % of 1 hour
10 % of 60 minutes (Since, 1 hour = 60 minutes)
= 10/100 × 60 minutes
= 6 minutes
3. Find 15 % of $250.
Solution:
We know that R % of m is equal to R/100 × m.
So, we have 15 % of $250.
15/100 × 250
= $75/2
= $37.5
4. Find 120 % of 25 km
Solution:
120 % of 25 km
= (120/100 × 25) km
= 30 km
5. Find 10 % of 400 kg
Solution:
10 % of 400 kg
= (10/100 × 400) kg
= 40 kg
6. Find the number whose 8 % is 72.
Solution:
Let the required number be m, then
8 % of m = 72
⇒ 8/100 × m = 72
⇒ m = 72 × 100/8
m = 900
Therefore, the required number is 900.
Word problems to find the percentage of the given quantity:
7. What is the sum of the money of which 15 % of $225?
Solution:
Let the required sum of money be $m.
15 % of $m = $225
⇒ 15/100 × m = 225
⇒ m = (225 × 100)/15
⇒ m = 1500
Therefore, sum of the money = $1500
8. In a public show 75 % of the seats were filled. If there were 600 seats in the hall, how many seats were vacant?
Solution:
First process:
75 % of 600
= 75/100 × 600
= 450
Therefore, the number of vacant seats = 600 - 450 = 150.
Second process:
Total percentage of seats = 100.
Percentage of filled seats = 75.
Therefore, percentage of vacant seats = 100 – 75 = 25.
25 % of 600
= 25/100 × 600
= 150.
Thus, the number of vacant seats is 150.
Note: Total is always 100%.
Percentage of the given Quantity
How much Percentage One Quantity is of Another?
Real Life Problems on Percentage
8th Grade Math Practice
From Percentage of the given Quantity to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Sep 13, 24 02:48 AM
Sep 13, 24 02:23 AM
Sep 13, 24 01:20 AM
Sep 12, 24 03:07 PM
Sep 12, 24 02:09 AM
Worksheet on Fraction into Percentage
Worksheet on Percentage into Fraction
Worksheet on Percentage into Ratio
Worksheet on Ratio into Percentage
Worksheet on Percentage into Decimal
Worksheet on Percentage of a Number
Worksheet on Finding Value of a Percentage
Worksheet on Percentage of a Given Quantity
Worksheet on Word Problems on Percentage
Worksheet on Increase Percentage
Worksheet on Decrease Percentage
Worksheet on increase and Decrease Percentage
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.