- Converting Between Fractions, Decimals, and Percents
- Home
- Converting a Fraction with a Denominator of 100 to a Percentage
- Converting a Percentage to a Fraction with a Denominator of 100
- Finding the Percentage of a Grid that is Shaded
- Representing Benchmark Percentages on a Grid
- Introduction to Converting a Percentage to a Decimal
- Introduction to Converting a Decimal to a Percentage
- Converting Between Percentages and Decimals
- Converting Between Percentages and Decimals in a Real-World Situation
- Converting a Percentage to a Fraction in Simplest Form
- Converting a Fraction to a Percentage: Denominator of 4, 5, or 10
- Finding Benchmark Fractions and Percentages for a Figure
- Converting a Fraction to a Percentage: Denominator of 20, 25, or 50
- Converting a Fraction to a Percentage in a Real-World Situation

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# 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%