# Introduction to Converting a Decimal to a Percentage

As per the definition of a percentage, the percentage of a number x, x% = $\frac{x}{100}$

To convert a decimal to a percentage, multiply by 100 and then add a percent sign.

Rules to convert a decimal to a percentage

• First, we write the decimal.

For example, 0.43

• Then shift the decimal point two places to the right.

For example, 43.0

• Then we add the percentage sign.

For example, 43.0% So, 0.43 = 43.0% = 43%

Formula

By definition of a per cent, for any decimal number x, x = 100x%

For example: 0.57 = 100(0.57)% = 57.00% = 57%

Convert the following decimal to percent

0.78

### Solution

Step 1:

To convert a decimal to a percentage we multiply it by 100. It is same as shifting the decimal 2 places to the right and adding a percent sign.

Step 2:

So, 0.78 × 100 = 78.00% = 78%

Convert the following decimal to percent

0.09

### Solution

Step 1:

To convert a decimal to a percentage we multiply it by 100. It is same as shifting the decimal 2 places to the right and adding a percent sign.

Step 2:

So, 0.09 = 09.0% = 9%

Convert the following decimal to percent

6.21

### Solution

Step 1:

To convert a decimal to a percentage we multiply it by 100. It is same as shifting the decimal 2 places to the right and adding a percent sign.

Step 2:

So, 6.21 = 621.0% = 621%