Saturday, 3 November 2018

Percentages: Formulas, Tricks and Shortcuts - All formulae

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
88.8989
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)}%




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