Overview

Basic Concept

Percentage - a number expressed as a fraction of 100, i.e. per 100. (Percent means “Per 100”) It is the numerator of the ratio whose denominator (or base) is 100.  It is represented by “%”

1 per 4

To convert any ratio into percentage we need to make the denominator 100.
Out of 4 – work completed 1
Out of 1 – work completed $(\frac{1}{4}$)
Out of 100 – work completed $(\frac{1}{4}$) × 100 = 25%

More Examples:
$(\frac{50}{200}$) = $(\frac{25}{100}$) = 25%

$(\frac{40}{50}$) = $(\frac{80}{100}$) = 80%

To convert a percentage into fraction, divide it by 100.
25% ≡ 0.25 - that is a ratio of 1:4
(% ≡ $(\frac{1}{100}$))

Q. What percent of 60 is 15?

Q. Find the number whose 40% is 120.

Explanations :
1 2 3

Q. x% of x = 64. Find x

Explanation :

Tip

x% of y = x/100 × y % = xy/100 %
y% of x = y/100 × x % = xy/100 %

Q. Find 8% of 50.

Explanation :