Percentage

Percent

Percent means parts per hundred or out of hundred. The symbol of a percent is %.

For example, 25% means 25 per 100 or, \(\frac{25}{100}\)

Percentage is a fraction written with a denominator 100.

Conversion of fraction or decimal into percent

For the conversion of a fraction or decimal into percent multiply it by 100 and put the symbol % to the product. For example,

\(\frac{2}{5}\) =\(\frac{2}{5}\) × 100 % = 40 %

0.3 = 0.3× 100 % = 30 %

Conversion of percent into fraction or decimal

For the conversion of percent into fraction or decimal, divide it by 100 and remove the % symbol. For example,

20% =\(\frac{20}{100}\) =\(\frac{1}{5}\)

32% =\(\frac{32}{100}\) = 0.32

To express a given quantity as the percent of whole quantity

For the expression of the given quantity as the fraction of the whole quantity, then multiply the fraction by 100%. For examples,

20 as the percent of 80 =\(\frac{20}{80}\) × 100 = 25%

To find the value of given percent of a quantity

If this case is given, then multiply the quantity by the given percent. Then, convert the percent into a fraction and simplify. For example,

25% of Rs.250 = 25%× 250 =\(\frac{25}{100}\)× 250 = Rs. 62.5 ans.

To find a quantity whose value of certain percent is given

If this case is given, we can suppose the whole quantity by a variable such as x. Then we can form an equation and by solving the equation we can find the value of x. For example,

If 20% of a sum is Rs. 80. Find the sum

Here, Let the sum be Rs.x

Now, 20% of x = Rs.80

or, \(\frac{20}{100}\)× x = Rs. 80

or, \(\frac{x}{5}\) = Rs.80

or, x =Rs. 80 × 5 = Rs.400

Things to remember

• Percentage is a fraction written with a denominator 100.
• For the conversion of a fraction or decimal into percent multiply it by 100 and put the symbol % to the product. 
• For the conversion of percent into fraction or decimal, divide it by 100 and remove the % symbol. 

• It includes every relationship which established among the people.
• There can be more than one community in a society. Community smaller than society.
• It is a network of social relationships which cannot see or touched.
• common interests and common objectives are not necessary for society.

Questions and Answers

Quiz