Concept of Mathematics Theory

Percentage

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Conversion of decimal into percent

To convert a decimal into percentage do the following steps:

(1) Multiply the given decimal with 100

(2) Omit the decimal by multiplying denominator with required number of ‘10’

(3) Do the required calculation to reduce the get expression or fraction to its lowest form

(4) Add a percent sign

(5) Get number or fraction will be the answer

Example –

(1) Convert 1.5 into percent

Solution:

Given, 1.5

Step 1 – Multiply with 100

= 1.5 x 100

Step 2 – Multiply the denominator by 10. (Since, there one digit after the decimal, i.e. 1.5)

math percentage73

Step 3 – Do the required calculation to reduce the get expression to its lowest form

math percentage74

Step 4 – Suffix percent (%) sign

= 150%

Alternate method:

Given, 1.5

Step: 1 – Multiply the given number by 100

=1.5 x 100

Step 2 – Get the result of multiplication

= 1500

Step 3 – Here given, number (decimal) is equal to 1.5, Here there is one digit after the decimal. Thus, place decimal after one digit from left

= 150.0

Step – 4 – Since there is only one zero after the decimal, and there is no digit after that zero, so omit the zero

= 150

Step – 5 – Add a percent sign to get the required percent. This is the required answer

= 150%

(2) Convert 1.25 into percent

Solution:

Given, 1.25

= 1.25 x 100

Since, here there are two digits after the decimal, so multiply denominator with 100 (i.e. 10 x 10)

math percentage75

Alternate method:

Given, 1.25

= 1.25 x 100

= 125.00

= 125% Answer

(3) Convert 0.25 into percent

Solution:

Given, 0.25

= 0.25 x 100

math percentage76

Alternate method:

Given, 0.25

= 0.25 x 100

= 25.00

= 25% Answer

(4) Convert 0.0005 into percent

Solution:

Given, 0.0005

math percentage77

Alternate method:

Given, 0.0005

= 0.0005 x 100

= 0.0500

= 0.05% Answer

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