In this chapter, we will learn method to convert decimal number into percentage with solved examples.
At the end the chapter, some problems are also given for your practice.
Converting decimal into percentage
To convert the decimal number into percentage, you have to simply multiply the decimal by 100 and you will get the solution.
Explanation:
While calculating percentage, we compare the original number with reference number.
The formula for percentage is given below;
\mathtt{Percentage\ =\ \frac{original\ number}{reference\ number} \times 100\ }
In decimal percentage calculation, we are basically comparing the decimal with number 1.
So the formula becomes;
\mathtt{Percentage\ =\ \frac{original\ decimal}{1} \times 100}\\\ \\ \mathtt{Percentage\ \ =\ original\ decimal\ \times 100}
Hence, on simply multiplying the decimal with 100, we can get the percentage value.
Consider the decimal 0.5
We know that, 0.5 is half of reference value 1.
So we can also say that decimal 0.5 is 50% of value 1.
This 50% can also be calculated by multiplying the decimal by 100.
⟹ 0.5 x 100
⟹ 50 %
The process is extremely simple and straight-forward. Given below are some examples for your reference.
Example 01
Convert 2.5 into percentage.
Solution
Multiply the number by 100.
⟹ 2.5 x 100
⟹ 250 %
Hence, 250 % is the solution.
Example 02
Convert 0.87 into percentage.
Solution
Multiply the decimal by 100.
⟹ 0.87 x 100
⟹ 87 %
Hence, 87% is the solution.
Example 03
Convert 3.16 into percentage.
Solution
Multiply the number by 100
⟹ 3.16 x 100
⟹ 316 %
Hence, 316% is the solution.
Example 04
Convert 0.009 into percentage.
Solution
Multiply the decimal by 100.
⟹ 0.009 x 100
⟹ 0.9%
Hence, 0.9% is the solution.
Example 05
Convert 0.052 into percentage.
Solution
Multiply the number by 100
⟹ 0.052 x 100
⟹ 5.2%
Hence, 5.2% is the solution
I hope you understood the above examples. Given below are some problems for your practice.
Converting Decimal to Percent – Solved Problems
(01) Convert the below decimals into percentage.
(a) 6.32
(b) 2.2
(c) 0.03
(d) 0.0054
(e) 1.1
(f) 0.175
(g) 1.59
(h) 8.879
(i) 210.11
(j) 63.132
(a) 6.32
⟹ 6.32 x 100
⟹ 632 %
Hence, 632% is the solution.
(b) 2.2
⟹ 2.2 x 100
⟹ 220 %
Hence, 220% is the solution.
(c) 0.03
⟹ 0.03 x 100
⟹ 3 %
Hence, the decimal is converted into 3%
(d) 0.0054
⟹ 0.0054 x 100
⟹ 0.54%
Hence, the decimal is converted into 0.54%
(e) 1.1
⟹ 1.1 x 100
⟹ 110%
Hence, 110% is the solution
(f) 0.175
⟹ 0.175 x 100
⟹ 17.5%
Hence, 17.5 % is the solution
(g) 1.59
⟹ 1.59 x 100
⟹ 159 %
Hence, 159% is the solution
(h) 8.879
⟹ 8.879 x 100
⟹ 887.9%
Hence, 887.9% is the solution.
(i) 210.11
⟹ 210.11 x 100
⟹ 21011%
Hence, 21011% is the solution.
(j) 63.132
⟹ 63.132 x 100
⟹ 6313.2%
Hence, the decimal is converted into 6313.2%