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Percentage

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.)

                    = 12/1x 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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