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 |
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 step-wise. To convert a percentage to decimal, follow the steps given below:
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.
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:
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.
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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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.
Therefore, 42/4% in decimal is 0.105.
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