## Decimal to Percent: Introduction

Decimal to percent conversion is an important concept, most commonly where calculations related to profit or loss are involved.

To convert a decimal into a percentage, simply multiply the decimal by 100 and give a percentage sign $\%$ to the result. The decimal to percent calculator available online can also be used for quick results!

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## What Is a Decimal?

A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that represent a whole plus some part of a whole.

Example: One and a half pizza

**Fractional form:** In fraction form, we can write that there is one and one-half of a pizza, that is, $1\frac{1}{2}$ pizza.

**Decimal Form:** In decimal form, we will write this as 1.5 pizza.

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## What Is a Percentage?

A percentage is a fraction expressed as a fraction with a denominator of 100. In other words, percentage means a part per hundred or the word “per *cent*” means per 100. Percent is represented by the symbol “$\%$.”

Example: $50\% = \frac{50}{100} = \frac{1}{2}$

## What Is Decimal to Percent Conversion?

We can convert a decimal value into a percentage value by multiplying it with 100 and then placing a percentage $(\%)$ symbol after it.

Multiplying a decimal by 100 shifts the decimal point by two places toward the right. Suppose we have a decimal 0.53. On converting it into percent, we get $53\%$.

## How to Convert Decimal to Percent?

We use percentage to compare two or more different quantities because the base value is always a hundred.

Let’s understand the steps to convert a decimal value to a percentage value with an example. Convert 0.325 to a percentage.

**Step 1:**Multiply the number by 100. It shifts the decimal point to the right by two places.

$0.325 \times 100 = 32.5$

**Step 2:**Don’t forget the $\%$ sign. Add the percent symbol $(\%)$ at the back.

Thus, $0.325 = 32.5\%$.

Let’s summarize!

## Decimal to Percent Conversion Chart

Decimal to percent chart helps you to easily get the percent values of commonly used decimal numbers.

## Fun Facts!

- There’s another way to convert a decimal into a percent. You can convert a decimal to its fraction form first and then convert it into a percentage.

Example: $0.5 = \frac{5}{10} = \frac{1}{2}$

$\frac{1}{2} \times 100 = 50\%$

- Dividing a decimal number by 100 shifts the decimal point two places to the left.

Example: $\frac{25.8}{100} = 0.258, \frac{0.5}{100} = 0.005$

- $\frac{50}{100} = \frac{1}{2} = 0.5 = 50\%$

$\frac{25}{100} = \frac{1}{4} = 0.25 = 25\%$

$\frac{75}{100} = \frac{3}{4} = 0.75 = 75\%$

$\frac{100}{100} = 1 = 100\%$

## Solved Examples

**1. Convert 22.5 into percent.**

**Solution: **

$22.5 \times 100 = 2250$

Thus, $22.5 = 2250\%$

**2. Convert 0.35 into percent.**

**Solution:**

$0.35 \times 100 = 35\%$

**3. What is the percent value for the decimal 0.7?**

**Solution:** The percent value for 0.7 is $0.7 \times 100$.

Shifting the decimal point two places to the right, we get $70\%$.

**4. What is the percent value for the decimal 0.06574?**

**Solution: **

$0.06574 \times 100$.

Shifting the decimal point two places to the right, we get $6.574\%$.

**5. ****James and Jenny bought an apple pie and shared it amongst themselves. James ate 0.3 part of it and the rest was eaten by Jenny. Use the decimal to percent conversion to find what percent of the apple pie was eaten by each of them?**

**Solution: **James had 0.3 part of an apple pie.

Percent value for James is $0.3 \times 100 = 30\%$

Jenny had $(1 – 0.3 = 0.7)$ part of an apple pie.

Percent value for James is $0.7 \times 100=70\%$

## Practice Problems

## Decimal to Percentage Conversion

### On converting 6.75 into percent, we get:

$6.75 \times 100 = 675\%$.

### What is the percent value for the decimal 0.965?

$0.965 \times 100 = 96.5\%$

### For converting decimal to percent, we

For converting a decimal to percent, we multiply the decimal value by 100 and put the $\%$ sign at the back.

### Convert 1.95 into percent.

$1.95 \times 100 = 195\%$.

### What is the percent value for the decimal 0.1?

$0.1 \times 100 = 10\%$.

## Frequently Asked Questions

**How can we convert repeating decimals to percent?**

A repeating decimal can be converted into percent by multiplying it with a 100 and then applying a $\%$ symbol. For example, a repeating decimal 0.6666… can be converted into a decimal by multiplying by 100.

$0.6666… = 0.6666… \times 100\% = 66.66…%$ or approximately $66.67 \%$.

**How can we convert a fraction to decimal and then to percent?**

If we have to convert a fraction to a decimal to percent, we follow the given steps:

- Divide the numerator with the denominator to represent it in decimal form.
- Multiply that decimal by 100 to convert it into a percent.

**Why do we need to convert a decimal to percent?**

We need to convert a decimal to percent for comparing the quantities instantly. For example, if we have to compare the decimals of 0.5, 0.61, 0.987, we will not be able to make any sense of the values at first glance. If these decimals are converted into percentages as $50\%, 61\%, 98.7\%$, we will be able to compare them easily.

**How can we convert percent into decimals?**

For converting percent into decimals, we divide the percent by 100 and remove the percent sign. For example: $60\%$ in decimal with give us $\frac{60}{100} = 0.6$

**How can we convert fractions into decimals?**

We divide the numerator by denominator to convert from fractions to decimals. For example: In $\frac{3}{4}$, we divide 3 by 4 and we get 0.75.