# Percentages Formulas

The word ‘percent’ is derived from the Latin word ‘Per centum’. It implies “out of every hundred”.

The symbol ‘ %’ is used to denote percentage. For example, 20% means 20 out of 100. Each ratio can be expressed as a percentage. In this article, we will provide you some percentage formulas tricks and shortcuts which will help you solve the problems faster.

## Percentage fraction conversion chart:

 1% 1100 10% 110 11.11% 19 12.5% 18 14.29% 17 16.67% 16 20% 15 22.22% 29 25% 14 28.57% 27 30% 37 33.33% 13 37.5% 38 40% 25 42.86% 37 44.44% 49 50% 12 55.56% 59 57.17% 47 62.5% 58 66.67% 23 60% 35 70% 710 71.43% 57 75% 34 77.78% 79 80% 45 83.33% 56 85.71% 67 87.5% 78 88.89 89 90% 910

Below is a list of important percentage formulas

1.     To calculate p% of y

(p/100) y = (p x y)/100

P % of y = y % of p

2.     What percentage of x is y :

y/x * 100

3.     To calculate percentage change in value

% change = {change/(initial value)} x 100

4.     Percentage point change

Difference of two percentage figures

5.     Deccrease N by S %

N ( 1- S/100)

6.     Increase N by S %

N(1 + S/100)

7.     Successive Percentage Change

If there are a successive percentage increase of a% and b%, the effective percentage increase is:

{(a + b (ab/100)}%