Percentage

The Percentage for Class 5 Math

A percentage is a form of a fraction; we represent it in fraction form. Here students will learn how to find percentages.
In this learning concept, the students will also learn to

• Classify the percentage symbol.
• Evaluate how to find the percentage of a number, percentage to fraction conversion.
• Identify how to convert decimals to percent and how to convert percent to decimals.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the page’s end.

Download the percentage worksheet for class 5 and check the solutions to the percentage questions for class 5 provided in PDF format.

Percentage Introduction:

In our surroundings, we see (%) this symbol many times.

• What does this % Symbol Represent?

%- Symbol represents a percentage.

• Percentage Meaning
• We have learned Fractions. A fraction 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.

This implies that,


• Reading-

We read 34% as ‘34 percent’. This means the symbol % is read as percent.

• How to Find Percentage?
• Divide that object into 100 equals parts.
• Out of these 100 parts, we can easily get the given percentage amount.

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.

• Percent Can Express in-
1. Fraction
2. Decimal

Example:

20 percent written as → 20%(In the form of Percent)

• 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:
1. Percent always represents the denominator as 100.
2. While converting a given percentage into decimal, we have to put a decimal point after two digits from the right.

• Conversion

• Percentage to Fraction Conversion:
• Divide the percent by 100.

Example:

Write 44% in the form of fraction.

Solution:

44%=
44 / 100
• How to Convert Percent to Decimals?
• Convert percent to fraction and then decimal

Example:

Write 74% in the form of decimal.

Solution:

74%=
74 / 100
= 0.74
• How to Convert Decimal to Percent?
• Multiply fraction/decimal by 100

Example:

Write
72 / 100
in the form of percent.

72 / 120
x 100
=
72 / 6
x 5 …(Divide 120 and 100 by 20.)
=
12 / 1
x 5 ...(Divide 72 and 6 by 6.)

= 60%

• Concept of Whole, Half and Quarter in the Form of Percentage
• Whole


It is difficult to divide a circle into 100 parts.

So, we can find equivalent fraction of

100 / 100
=
1 / 1
(Divide both numerator and denominator by 100.)

The 100% part of the circle can be represented as:


• Half

50 / 100
=
1 / 2

(Divide both numerator and denominator by HCF of 50 and 100 = 50)

The 50% part of the circle can be represented as:


• Quarter

25 / 100
=
1 / 4

(Divide both numerator and denominator by HCF of 25 and 100 = 25)

The 25% part of the circle can be represented as:


• How to Find Percentage of a Number?
• Represent the given percent into the fraction.
• Multiply that fraction and the given number.

Example:

Find the 10% of 80.

Step 1:Convert 6% into a fraction.

10% =
10 / 100

Step 2: Multiply the fraction by 80.

10 / 100
x 80
=
10 / 5
x 4


= 2 × 4

= 8

So, 8 is the 10% of 80.

• Difference between the words- ‘Percent’ & ‘Percentage’.
• Percentage is the final answer or quantity we get when we determine the percent of any number.

Example 1:

If we find out 10% of 60, we get

10 / 100
x 60 = 6


Here, 10 percent of the 60 is 6; 6 is the percentage.

Example 2:

If Sanju got 170 marks out of 200, he gets

170 / 200
x 100= 85%


Here, 85 is the percentage that Sanju has got.

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