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. Converting Fractions to Decimals | Solved Examples | Free Worksheet

    Apr 28, 25 01:43 AM

    Converting Fractions to Decimals
    In converting fractions to decimals, we know that decimals are fractions with denominators 10, 100, 1000 etc. In order to convert other fractions into decimals, we follow the following steps:

    Read More

  2. Expanded Form of a Number | Writing Numbers in Expanded Form | Values

    Apr 27, 25 10:13 AM

    Expanded Form of a Number
    We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its…

    Read More

  3. Converting Decimals to Fractions | Solved Examples | Free Worksheet

    Apr 26, 25 04:56 PM

    Converting Decimals to Fractions
    In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the following steps: Step I: Obtain the decimal. Step II: Remove the decimal points from th…

    Read More

  4. Worksheet on Decimal Numbers | Decimals Number Concepts | Answers

    Apr 26, 25 03:48 PM

    Worksheet on Decimal Numbers
    Practice different types of math questions given in the worksheet on decimal numbers, these math problems will help the students to review decimals number concepts.

    Read More

  5. Multiplication Table of 4 |Read and Write the Table of 4|4 Times Table

    Apr 26, 25 01:00 PM

    Multiplication Table of Four
    Repeated addition by 4’s means the multiplication table of 4. (i) When 5 candle-stands having four candles each. By repeated addition we can show 4 + 4 + 4 + 4 + 4 = 20 Then, four 5 times

    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