Percentage Shortcuts Methods

Percent means ‘per every hundred’. 5% means ‘5 per 100’.

In other words, percentage is a fraction with denominator as 100.



Percentage is denoted as P.C. or %. Ex: 70 percent = 70%.

Convert Percentage into Fraction:

Step 1: The number is divided by 100.

Step 2: ‘%’ sign is removed.



Convert Fraction Into Percentage:

Step 1: Multiply fraction by 100.

Step 2: Put a ‘%’ sign.

Convert Percentage into Decimal:





Convert Decimal Into Percentage:

0.25 = (0.25 × 100)%  = 25%

1.50 = (1.50 × 100)% = 150%

Some Useful Formulas:





Rule: 1

             If is often asked to find what percentage of y is x

then,
                                               what percent of y is x
                                                               or
                                        x is what percent of y are same

                                    y will be in the denominator, x in the numerator and multiply by 100

                                                   x / y * 100

Example:
                    30 is what percent of 150

                         = 30/150*100
                         = 20%
Example:
                     ? of 320 = 86.4

Here, 320 is the basis of comparison and it will be in the denominator
                                 
                                   = 86.4 / 320 * 100
                                   = 27%

Rule: 2
                   x is what % more or less than y

                                           ( x - y / y ) * 100
                       if (+) more, (-) less