[Maths Class Notes] on Convert Percents to Decimals Pdf for Exam

Wondering how to turn a percent into a decimal? Provided the frequency that percents occur, it is very crucial that you understand what a percent is and how you can use percents in performing calculations. Having said that, percent simply means “per one hundred” and is represented as %. Now, to convert a percent into a decimal, you need to divide by 100. This is just similar to moving the decimal point to two places to the left.

How do You Convert a Percent to a Decimal

Wondering how do you change a percent to a decimal? Percent to decimal conversion is not very difficult. That being said, for conversion of percent to decimal number, the percentage must be divided by 100:

1% = 1 / 100 = 0.01

8% = 8/100 = 0.08

10% = 10/100 = 0.1

25% = 25/100 = 0.25

40% = 40/100 = 0.40

50% = 50/100 = 0.5

100% = 100/100 = 1

450% = 450/100 = 4.5

For example, if you would want to convert 18% of GST in terms of decimal, it will be equivalent to the decimal 0.18.

Example on How to Calculate Percentage to Decimal

Example:

Let’s say there are 100 employees hired to work on a construction site. If only 57 are working on the site, then it means 57 per 100 employees showed up. This means 63% of the employees are doing their job.

If we look at this closely, we can observe that the fraction of the employees that

Are performing their job is 57/100, and this fraction can be expressed as 0.57.

Thus the example also shows how decimals, percents, and fractions are closely related and can be used to depict the same information.

How to Turn a Percent Into a Decimal

Most interest rates are quoted and marketed with respect to a percentage. But if you want to do calculations with the help of those numbers, you’ll require converting them to decimal form. The easiest way to do this is by dividing the number by 100.

Example: To convert 92% to decimal format, divide 92 by 100, and we get:

92 ÷ 100 = .92

Another easiest way of converting a quoted percentage to decimal format is by moving the decimal to two places to the left.

If you don’t really see a decimal, just think that it’s at the end, or far right side, of the number. Think that the decimal is followed by two zeroes if that helps (so 92 are 92.00).

Example: To convert 92% to decimal format, move the decimal point before the 9.

92% = .92

After you do this a couple of times, it will become natural, and you’ll be able to do it immediately in your head.

Even with more complex numbers, you would still require to move the decimal to over two places. For better understanding, refer to a few more examples:

100% = 1

250% = 2.5

32.478% = .32478

.7% = .007

Solved Examples

Example:

Convert 0.10% to a fraction.

Solution:

1. Divide the percent by 100 in order to obtain a fraction.

2. Simplify the fraction now

Note: .10% = .010 = 10/1000

= 1/100

Example: Suppose that your bank pays a 2.50% annual percentage generated (APY) on your savings account. How much will you earn over one year (12months) if you deposit Rs. 100?

To determine, we will require converting the interest rate to decimal and multiplying the outcome by the amount of deposit.

2.50 ÷ 100 = .0250

2.50 * Rs. 100 = $2.50

You’ll earn Rs. 2.50 per year for every Rs.100 that you deposit.

Fun Facts

• Search engines like Google, Yahoo, and Bing also make it easy to run quick calculations online, using a calculator app.

• All you need to do is type the expression you’re trying to solve into the search box and you will get your answer.