Percentage
Introduction
In our surroundings, we see (%) this symbol many times.
 What does this % symbol represent?
 What is the Percentage?
 We have learned Fractions. A fraction with a denominator 100 is called a Percentage.
 Percentage is represented by the symbol %.
 The word ‘Percent’ has the meaning:
 In the above figure, out of 100 boxes there are 34 boxes are coloured.

We can represent coloured part by the fraction as
34 / 100
 We can also say that 34% part of the figure is coloured.
 So, 34% means 34 per 100.
 Reading
 How to find a given percentage of any object?
 Divide that object into 100 equals parts.
 Out of these 100 parts, we can easily get the given percentage amount.
 Percent can express in
 Fraction
 Decimal
 20% means ‘20 per hundred’. So, 20 out of 100 written as:
20%=20 / 100→ (In the form of Fraction)  If we convert the above fraction into a decimal, we get:
 Percent always represents the denominator as 100.
 While converting a given percentage into decimal, we have to put a decimal point after two digits from the right.
 Conversion
 Percent to fraction
 Divide the percent by 100.
 Percent to decimal
 Convert percent to fraction and then decimal
 Fraction/decimal to percent
 Multiply fraction/decimal by 100
 Concept of Whole, half and quarter in the form of Percentage
 Whole
 Half
 Quarter
 How can we find the percent of the number?
 Represent the given percent into the fraction.
 Multiply that fraction and the given number.
 Difference between the words ‘Percent’ & ‘Percentage’.
 Percentage is the final answer or quantity we get when we determine the percent of any number.
% Symbol represents a percentage.
This implies that,
We read 34% as ‘34 percent’. This means the symbol % is read as percent.
Example: Colour 25% part of the square.
We can show 25% coloured part of the square as below:
There are total 100 boxes out of which 25 boxes are coloured.
Example:
20 percent written as → 20%(In the form of Percent)
Example:
Write 44% in the form of fraction.
Solution:
44%=Example:
Write 74% in the form of decimal.
Solution:
74%=Example:
Write=
=
= 60%
It is difficult to divide a circle into 100 parts.
So, we can find equivalent fraction of
The 100% part of the circle can be represented as:
(Divide both numerator and denominator by HCF of 50 and 100 = 50)
The 50% part of the circle can be represented as:
(Divide both numerator and denominator by HCF of 25 and 100 = 25)
The 25% part of the circle can be represented as:
Example:
Find the 10% of 80.
Step 1:Convert 6% into a fraction.
10% =Step 2: Multiply the fraction by 80.
=
= 2 × 4
= 8
So, 8 is the 10% of 80.
Example 1:
If we find out 10% of 60, we get
Here, 10 percent of the 60 is 6; 6 is the percentage.
Example 2:
If Sanju got 170 marks out of 200, he gets
Here, 85 is the percentage that Sanju has got.
Did you know?