Percentage

Percentage

Have you ever wondered what it really means when you see a sign saying “50% off” at your favorite store, or when your exam result says you scored 80%? That’s the magic of percentages at work!

A percentage simply tells us “how many out of 100.” It’s a way of comparing things on a level playing field. So, saying you scored 80% in a test means you got 80 marks out of 100. Or if a shop says there’s a 25% discount, it means you pay 25 less out of every 100 rupees, dollars, or whatever currency you use.

Percentages pop up everywhere: in shopping, banking, sports, cooking, and even when we talk about how much battery life is left on our phone! Learning about percentage helps you make sense of numbers in everyday life, so you can save money, understand reports, or simply brag about your high scores.

It’s all about knowing how to find parts of a whole, compare things quickly, and make smart decisions. And the best part? Once you understand how percentages work, they’re actually pretty simple and super useful!

Table of Contents

• How to Find Percentage
• Percent Can Express in Different Forms
• Conversion
• Concept of Whole, Half and Quarter in the Form of Percentage
• How to Find Percentage of a Number
• Difference between the words ‘Percent’ & ‘Percentage’
• Percentage Formula
• How Can I Change a Percentage to a Numerical Value?
• Comparison between Percentage and Percent
• How Do You Compare Two Quantities Using Fractions and Percentages?
• Conclusion
• FAQs on Percentage

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?

         The % symbol represents a percentage.

• Percentage Meaning
• We have learned Fractions.  A fraction with denominator 100 is called a Percentage.
• Percentage is represented by the symbol %.
• The word ‘Percent’ means per 100

                           

• In the above figure, out of 100 boxes, there are 34 coloured boxes.
• We can represent the coloured part by the fraction: 34/100.
• We can also say that 34% of the figure is coloured.
• So, 34% means 34 per 100.

• 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 Different Forms

1. 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

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

• Half

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

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

• Quarter

(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.

= 10/5 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

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?