Learn the Process for Converting Percents to Decimals

Here’s how to Convert Percents to Decimals

Easily answer Converting Percents to Decimals Example Problems

A percent is a number of that represents what amount of out of one hundred there are. For instance, when a number is stated to be 20%, it represents that there are 20 out of 100 within the total amount. A Decimal is a number that is more than zero but also less than one. While converting a percent to a decimal, you need to convert the percent into a decimal by dividing the percent by the number 100. There is a shortcut for dividing the decimal by the number 100. The very best way to convert a percent to a decimal is to move the decimal point two digits to the left. This move is the same as dividing the number by 100. Once the decimal has been converted to a percent, you have solved the problem.

Converting Percents to Decimals Practice Problems Quiz

Watch the video explanation of our Converting Percents to Decimals Worksheet

Watch our free video on how to Convert Decimals to Percents. This video shows how to solve problems that are on our free Percent to Decimal worksheet that you can get by submitting your email above.

Watch the free Converting Percents to Decimals video on YouTube here: How to Convert Percents to Decimals Video

Video Transcript:

This video is about how to change percents to decimals. You can get the percentage to decimal worksheet used in this video for free by clicking on the link in the description below.

A percent is a number that represents a certain amount out of one hundred. If you were to say something was sixty percent that means that there are sixty out of 100. A decimal is any number that is less than one but greater than zero. Now when converting percents to decimals because percents are out of 100 it means you have to divide by 100. To convert out of the percent this percentage right here is 53 percent. In order to convert it from 53 back into a decimal we’re going to divide by 100 because this represents 53 out of 100. 53 divided by 100 is going to be 0.53. 53 percent as a decimal is 0.53.

There is a shortcut for converting percents to decimals that does not involve completing any math. If you need to change a percent into a decimal, you’re going to add a decimal point behind the whole number then you’re going to move the decimal point to the left two times. The reason you move the decimal point to the left two times is because when you divide by 100 100 has two zeros and each zero represents one time moving the decimal. after we move the decimal two times, we end up with 0.53 as our percent written as a decimal. you will notice that 0.53 is the answer for both ways of converting this percent into a decimal. Let’s do a couple practice problems on our converting percents to decimals worksheet.

The first problem on our convert percent to decimal worksheet gives us 45 percent. We have to change 45 percent into a decimal. The way we’re going to do that is we’re going to divide 45 by 100. When you divide 45 by 100 you will get 0.45. We know 45 converted to a decimal is going to be 0.45. You can also use the shortcut method which is to take 45 percent and we take our decimal point which is going to be behind the five and we’re going to move it to the left two times. It gets moved to the left two times because it represents dividing by 100 which has two zeros. After you move it to the left two times, you’ll be left with .45 as a decimal or 0.45 as a decimal and you can see that the answer is the same for whichever way that you complete the problem. This means that 45 percent is 0.45 as a decimal.

The last problem we’re going to complete on our convert percents to decimals worksheet is number seven. This problem gives us four percent and asks us to convert it to a decimal. In order to convert percents to decimals we have to divide by 100 and then 4 divided by 100 is 0.04. 4 as a decimal is 0.04. We could also use a shortcut method. Four percent and we know that in order to convert it to a decimal we have to move the decimal point to the left two times.  It goes left one time, two times. We have an empty spot between the decimal point and the four this empty spot needs to be filled with the number zero as a placeholder. We know the solution is going to be 0.04 as a decimal. You will notice that once 4 has been converted to a decimal you will get 0.04 regardless of which way that you complete it. Hopefully you found this video helpful for teaching you how to convert percents to decimals. Try all the practice problems by downloading the free changing percents to decimals worksheets above.