# CLASS-6FINDING PERCENTAGE WHEN WHOLE NUMBER IS NOT 100

FINDING PERCENTAGE WHEN WHOLE NUMBER IS NOT 100 -

To find the percentage when the whole is not 100, you can use the following formula:

Part

Percentage = ----------- X Multiplier

Whole

Where:

• Part:- The portion you are calculating the percentage for.
• Whole:- The total amount or whole quantity.
• Multiplier:- The factor by which the percentage is scaled to match the desired whole. For example, if the whole is not 100 but some other value (e.g., 200, 500, etc.), the multiplier adjusts the percentage accordingly.

Here's an example to illustrate this concept:-

Example.1) Suppose you have a group of 30 students, and 12 of them are studying mathematics. You want to find the percentage of students studying mathematics out of the total group, considering the whole group is not 100 but 30.

Ans.)

Part

Using the formula:- Percentage = -------------  X Multiplier

Whole

• Part = 12 (students studying mathematics)
• Whole = 30 (total students in the group)
• Multiplier = 100 (since we want the result as a percentage)

12

Percentage = -------- X 100 = 25 X 100 = 40%

30

So, 40% of the students in the group are studying mathematics.

In this example, we used a multiplier of 100 to convert the ratio to a percentage. If the whole was different (e.g., 200 or 500), you would adjust the multiplier accordingly to represent the percentage based on that whole.

Example.2) Find the percentage of 7/25.

Ans.) We have to find percentage of 7/25, where we have to make denominator of said fraction 100.

So, first we have to find multiplier of 25 to turn into 100. So, 100 ÷ 25 = 4

so, we have to multiply by 4 to both denominator and numerator of the given fraction 7/25, and we get -

7           7 X 4            28

------- = ----------- = -------- = 28%              (Ans.)

25          25 X 4          100

Example.3) Find the percentage of 9/20.

Ans.) We have to find percentage of 9/20, where we have to make denominator of said fraction 100.

So, first we have to find multiplier of 20 to turn into 100.

So, 100 ÷ 20 = 5.

so, we have to multiply by 5 to both denominator and numerator of the given fraction 9/20, and we get -

9           9 X 5            45

------- = ----------- = --------- = 45%              (Ans.)

20          20 X 5           100