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%**