LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

TO EXPRESS A NUMBER AS PERCENTAGE OF ANOTHER

__TO EXPRESS A NUMBER AS PERCENTAGE OF ANOTHER -__

**To express a number as a percentage of another number, you can follow these steps:**

**Divide the number you want to express as a percentage by the number you want to express it as a percentage of.For example, let's say you want to express the number 25 as a percentage of 100. You would divide 25 by 100 : 25 ÷ 100 = 0.25****Multiply the result by 100 to convert it to a percentage.Continuing from the previous example, multiply 0.25 by 100:0.25 × 100 = 25. So, 25 is 25% of 100.**

**In summary, to express a number X as a percentage of another number Y, divide X by Y and then multiply the result by 100.**

__Another way of understanding -__

**To express a number as a percentage of another number, you can follow these steps:**

**Divide the first number by the second number.****Multiply the result by 100 to get the percentage.**

**Here's the formula:
Percentage = (Number 1 / Number 2) * 100**

**Let's illustrate this with an example:
Suppose you want to express 25 as a percentage of 80.**

**Percentage = (25 / 80) * 100
= 0.3125 * 100
= 31.25%**

**So, 25 is approximately 31.25% of 80.**

**To express a
number as percentage of another, we divide the number
with the other number and then convert
it into percentage by multiplying it by 100.**

**There are some examples are given below for better understanding -**

**
**

**a) 15 paise as percentage of Rs. 1**

**Ans.)**

**15 paise as percentage
of Rs. 1
**

**First we convert
Rs. 1 into paise. Rs. 1 = 100 paise Now we express
15 p of 100 p as a percentage.**

**
**

** 15**

** ------- × 100 = 15 % (Ans.)**

** 100 [Equal factors in numerator and denominator is 100] **

** **

**b) 12 g as a percentage of 500
g**

**Ans.)**

** 12
g as a percentage of 500 g**

**Since both numbers have same unit,**

** 12 12**

** ------- × 100 = -------- [500 and 100 have the common factor 100]**

** 500 5**

** = 2.4 % (Ans.)**

**c) 350 m as a percentage of 3.5 km**

**Ans.) 350
m as a percentage of 3.5 km. First convert
3.5 km into m**

**1 km = 1000 m**

**3.5 km = 3.500 × 1000 = 3 . 5 0 0 × 1000 = 3500 m**

**Now express 350 m
of 3500 m as a percentage.**

** 350**

** -------- × 100 **

** 3500**

**[3500 and 100 have the common
factor 100 & 350 and 35 have the
common factor 35]**

** = 10% (Ans.)**