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Percent to Decimal
Percent to decimal conversion is done by shifting the decimal point to two places towards the left and removing the percent sign (%). For example, if 1% is given, its decimal conversion is 0.01. Let's understand how the process of converting percentage to decimal in this article by following two simple steps.
1.  Converting Percentage to Decimal 
2.  How to Convert Fraction Percent to Decimal? 
3.  Percent to Decimal Chart 
4.  FAQs on Percent to Decimal 
Converting Percentage to Decimal
Percent is a ratio or a fraction in which the whole is always taken as 100. So, 3% means 3 parts out of 100, and 10% means 10 parts out of 100. While a decimal is a form of writing numbers in precise form using a decimal point. For example, 3.5 means 3 full parts and one half (0.5) part. It is very important to learn the conversion of a percent to decimal as a percent is not an absolute form of a number. We need to convert it into decimal to perform arithmetic operations on it. Let us learn the method to convert percent to decimal stepwise. To convert a percentage to decimal, follow the steps given below:
 Step 1: Remove the percentage sign (%).
 Step 2: Put a decimal point by taking two jumps from the right side towards the left.
For example, let us convert 30% to a decimal. 30% can be written as 30 without the percent sign. Now, it is a whole number so consider the decimal point at the right end. 30 is the same as 30.0. Now, by shifting the decimal point two places towards the left, we get 0.3. Therefore, 30%=0.3.
In the case of a decimal percent also, for example, 2.5%, we have to shift the decimal point two places towards the left. So, 2.5% = 0.025.
How to Convert Fraction Percent to Decimal?
Sometimes, a percent is given in the fractional form, for example, 2/3%, 14/5%, etc. To convert a fraction percent to decimal, follow the steps given below:
 Step 1: If the percent is given in the mixed fraction form, convert it to an improper fraction first.
 Step 2: Convert the given fraction to a decimal by dividing the numerator with the denominator.
 Step 3: Remove the percent sign and shift the decimal point two places towards the left. That will be the required answer.
In short, to convert fraction percent to decimal, first, we need to convert fraction to decimal and then, we have to convert the decimal percent to decimal number. Let us take an example to understand this.
Example: Convert 1/2% to a decimal.
The given fraction percent is 1/2%. So, we have to first write it in decimal percent form by dividing the numerator by denominator, i.e 1 ÷ 2 = 0.5. Now, we got 0.5%. The next step is to remove the percent sign and shift the decimal point two places towards the left, which gives us 0.005. This is how we do fraction percent to decimal conversion.
Percent to Decimal Chart
The percent to decimal chart helps us to quickly find out the decimal equivalents of some commonly used percents. You can use the percent to decimal conversion chart while solving questions based on it.
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Check these interesting articles to know more about percent to decimal conversion and its related topics.
Percent to Decimal Examples

Example 1: Convert 5 % to decimal and verify your answer using the percent to decimal chart.
Solution: To convert 5% to a decimal, we will follow the steps of percentage to decimal conversion given below:
 Step 1: Remove the percent sign. So, now we are left only with 5.
 Step 2: 5 can be written as 5.0. By shifting the decimal point two places towards the left, we get 0.05.
Therefore, 5 percent in decimal is 0.05. This can be verified using the percentage to decimal chart given above which shows 5%=0.05.

Example 2: Julia ate 20% of the cake, while David ate 30% of it. Find the portion of cake left in decimals, using the percent to decimal conversion.
Solution: There is one cake, so the whole is 1. Now, Julia ate 20% of the cake, which means she ate 0.2 portions. Similarly, David ate 30%, which is equivalent to 0.3 portions of the cake. The portion of the cake left is [1(0.2+0.3)].
⇒ 1  0.5
⇒ 0.5
Therefore, 0.5 portions of the cake is left.

Example 3: Convert 42/4% to a decimal.
Solution: To convert 42/4% to a decimal, we will follow the steps of percentage to decimal conversion given below:
 Step 1: Convert the fraction to a decimal by solving it. 42/4 = 10.5%
 Step 2: Once the decimal is obtained, remove the percentage sign and shift the decimal point two places towards the left, which gives us 10.5 = 10.5/100 = 0.105
Therefore, 42/4% in decimal is 0.105.
FAQs on Percent to Decimal
What is Percent to Decimal?
Percentage to decimal means to convert a quantity given in percentage to its decimal equivalent by dividing it by 100. It is used while dealing with numbers involving both percent and decimal. In that case, we will have to either convert percent to decimal or decimal to percent depending on the ease of the calculations.
How do you Convert Percent to Decimal?
To convert a percent to a decimal, we have to remove the percentage sign (%) and divide the number by 100. Dividing by 100 is the same as shifting the decimal point two places towards the left.
What Operation is Involved in Converting Percent to Decimal?
Division operation is involved in converting percentages to decimals. To do the conversion, we have to divide the number given in percent form by 100 to find its decimal equivalent.
What is 3 Percent to Decimal?
3 percent in decimal is 0.03. To convert 3% to a decimal, follow the steps given below:
 Remove the percent sign.
 3 can be written as 3.0. Now, shift the decimal point to two places towards the left. We will get 0.03 as the answer.
How to Convert Fraction Percent to Decimal?
When a percentage is given in the fractional form, for example, 8/9%, we will first have to convert fraction to decimal. And then we have to shift the decimal point two places towards the left.
How to Convert 100 Percent to Decimal?
To convert 100% to a decimal, divide 100 by 100. So, we will get 1 as the answer. Therefore, 100%=1.
What is 109 Percent to Decimal?
109 percent in decimal is 1.09. To convert 109% to a decimal, follow the steps given below:
 Remove the percent sign.
 109 can be written as 109.0. Now, shift the decimal point to two places towards the left. We will get 1.09 as the answer.
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