MathsConvert Percents to Decimals – Explanation, Solved Examples, and FAQs

Convert Percents to Decimals – Explanation, Solved Examples, and FAQs

How do You Turn a Percent Into a Decimal?

To turn a percent into a decimal, divide the percent by 100.

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    Percent means “per 100”, so 50% means 50 per 100, or simply 50/100

    When we divide 50 by 100 we get 0.5 (a decimal number).

    So, to convert from percent to decimal: divide by 100, and remove the “%” sign.

    Example on How to Calculate Percentage to Decimal

    In order to calculate a percentage to decimal, divide the percentage by 100.

    For example, if someone has a 5% interest rate on their savings account, divide 5 by 100 to get 0.05.

    How to Turn a Percent Into a Decimal

    To turn a percent into a decimal, divide the percent by 100.

    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.

    • 57% is the same as 57/100.

    • 57% is the same as 0.57.

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

    How to Turn a Percent Into a Decimal

    • Divide by 100

    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

    • Move the Decimal Point to the Left

    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.

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