Concept of Mathematics Theory
Percentage
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)
Step 3 – Do the required calculation to reduce the get expression to its lowest form
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)
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
Alternate method:
Given, 0.25
= 0.25 x 100
= 25.00
= 25% Answer
(4) Convert 0.0005 into percent
Solution:
Given, 0.0005
Alternate method:
Given, 0.0005
= 0.0005 x 100
= 0.0500
= 0.05% Answer