Percentage means out of 100. We can easily convert any fractional and decimal value into the percentage. The percentage is a very important topic for Bank PO, Bank Clerk, SSC, Railways etc.

The percentage is also a very important topic for Data interpretation, Simplification and for other Quants Arithmetic topics.

= 50 %

= 33.33 % = 33

= 25 %

= 20 %

= 16.67 %

= 14.28 %

= 12.5 %

= 11.11 % = 11

= 10 %

= 9.09 %

= 8.33 %

= 7.69 %

= 7.14 %

= 6.67 %

= 6.25 %

= 5.88 %

= 5.55 %

= 5.26 %

= 5 %

The percentage is also a very important topic for Data interpretation, Simplification and for other Quants Arithmetic topics.

### Convert Decimal value into Percentage:

To convert decimal value into percentile value simply multiple the decimal numbers by 100 and it will be converted into percentile value.**Examples:1. Convert 0.65 into percentage**0.65 100 = 65%**2. Convert 4.05 into percentage**4.05 100 = 405%### Convert fractional value into Percentage

To convert fractional value into percentile value multiply fractional by 100 and then convert it into lowest fractional form or decimal form.**Examples:1. Convert into percentage**100 = ( 3 5) % = 15%

**2. Convert into percentage**100 = (8 4) % = 32 %

### Basic conversion of fraction to percentage to remember:

= 100 %= 50 %

= 33.33 % = 33

= 25 %

= 20 %

= 16.67 %

= 14.28 %

= 12.5 %

= 11.11 % = 11

= 10 %

= 9.09 %

= 8.33 %

= 7.69 %

= 7.14 %

= 6.67 %

= 6.25 %

= 5.88 %

= 5.55 %

= 5.26 %

= 5 %

If we remember the above easy conversions then we can convert some more fractions into percentage easily

Then we can easily find conversions of 2/16, 3/16, 4/16, 5/16, ……… 16/16 as

= 5 = 5 6.25 = 31.25 %

= 7 = 7 6.25 = 43.75 %

= 13 = 13 6.25 = 81.25 %

= 12.5 %

= (3 12.5) % = 37.5 %

= (4 12.5) % = 50 %

= (5 12.5) % = 62.5 %

= (6 12.5) % = 75 %

= (7 12.5) % = 87.5 %

= (8 12.5) % = 100 %

If numerator > denominator, the percentage will always be greater than 100%

**Example:**We remember than percentage of (1/16) is 6.25%Then we can easily find conversions of 2/16, 3/16, 4/16, 5/16, ……… 16/16 as

= 5 = 5 6.25 = 31.25 %

= 7 = 7 6.25 = 43.75 %

= 13 = 13 6.25 = 81.25 %

= 12.5 %

**So we can find easily percentage for 2/8, 3/8, 4/8, 5/8, 6/8, 7/8, 8/8**2/8 = (2 12.5) % = 25 %= (3 12.5) % = 37.5 %

= (4 12.5) % = 50 %

= (5 12.5) % = 62.5 %

= (6 12.5) % = 75 %

= (7 12.5) % = 87.5 %

= (8 12.5) % = 100 %

## Percentage of Some Difficult Fractions

If numerator < denominator, the percentage will always be less than 100%If numerator > denominator, the percentage will always be greater than 100%

### 1.

**Step 1: **

Take 10% of the denominator and find the closest multiple to the numerator and less than numerator

i.e. 10 % of 600 = 60

60 8 = 480

Hence the percentage will be greater than 80% and less than 90 %

i.e. 10 % of 600 = 60

60 8 = 480

Hence the percentage will be greater than 80% and less than 90 %

**Step 2: **

Subtract the highest multiple (480) from numerator (512)

512 – 480 = 32

512 – 480 = 32

**Step 3: **

Take 1% of the denominator and find the closest multiple to the subtracted result of Step 2 (i.e. 32)

i.e. 1 % of 600 = 6

6 5 = 30

Hence the percentage will be greater than 85 % and less than 86 %

i.e. 1 % of 600 = 6

6 5 = 30

Hence the percentage will be greater than 85 % and less than 86 %

**Step 4: **

Subtract the multiple (30) from resultant (32)

i.e. 32 – 30 = 2

i.e. 32 – 30 = 2

**Step 5: **

Take 0.1% of the denominator and find the closest multiple to the resultant of Step 4

i.e. 0.1 % of 600 = 0.6

0.6 3 = 1.8

Hence the percentage will be greater than 85.3 % and less than 85.4 %

Keep repeating the steps if further required

i.e. 0.1 % of 600 = 0.6

0.6 3 = 1.8

Hence the percentage will be greater than 85.3 % and less than 85.4 %

Keep repeating the steps if further required

### 2.

Numerator > Denominator then percentage greater than 100%

**Step 1: **

10 % of 560 = 56

56 11 = 616

Hence percentage is greater than 110% and less than 120%

56 11 = 616

Hence percentage is greater than 110% and less than 120%

**Step 2: **

640 – 616 = 24

**Step 3: **

1 % of 560 = 5.6

5.6 4 = 22.4

Hence percentage is greater than 114% and less than 115%

5.6 4 = 22.4

Hence percentage is greater than 114% and less than 115%

**Step 4: **

24 – 22.4 = 1.6

#### Step 5:

0.1% of 560 = 0.56

0.56 2 = 1.12

Hence percentage is little bit greater than 114.2%

We can solve any fraction through this process

TRY OUT SOME EXAMPLES

1214/1560, 295/340 , 783/260 , 951/800

0.56 2 = 1.12

Hence percentage is little bit greater than 114.2%

We can solve any fraction through this process

TRY OUT SOME EXAMPLES

1214/1560, 295/340 , 783/260 , 951/800

**Suggested Books:**View here
Percentages Concepts and Formulae Reviewed by Jasleen Behl on Friday, April 04, 2014 Rating:

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