Percentage of the given Quantity

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%.

Fraction into Percentage

Percentage into Fraction

Percentage into Ratio

Ratio into Percentage

Percentage into Decimal

Decimal into Percentage

Percentage of the given Quantity

How much Percentage One Quantity is of Another?

Percentage of a Number

Increase Percentage

Decrease Percentage

Basic Problems on Percentage

Solved Examples on Percentage

Problems on Percentage

Real Life Problems on Percentage

Word Problems on Percentage

Application of 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.



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.




Share this page: What’s this?

Recent Articles

  1. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More

  2. Construction of a Circle | Working Rules | Step-by-step Explanation |

    Jul 09, 25 01:29 AM

    Parts of a Circle
    Construction of a Circle when the length of its Radius is given. Working Rules | Step I: Open the compass such that its pointer be put on initial point (i.e. O) of ruler / scale and the pencil-end be…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jul 08, 25 02:32 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Addition & Subtraction Together |Combination of addition & subtraction

    Jul 08, 25 02:23 PM

    Addition and Subtraction Together Problem
    We will solve the different types of problems involving addition and subtraction together. To show the problem involving both addition and subtraction, we first group all the numbers with ‘+’ and…

    Read More

  5. 5th Grade Circle | Radius, Interior and Exterior of a Circle|Worksheet

    Jul 08, 25 09:55 AM

    Semi-circular Region
    A circle is the set of all those point in a plane whose distance from a fixed point remains constant. The fixed point is called the centre of the circle and the constant distance is known

    Read More

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 Percent

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

Worksheet on Expressing Percent

Worksheet on Percent Problems

Worksheet on Finding Percentage