How to find decimal equivalent to a percentage

Help Questions

Algebra › How to find decimal equivalent to a percentage

Questions 1 - 10
1

Find the decimal equivalent for the following percent:

Explanation

In order to find the decimal equivalent for a percent, all we have to do is divide our percent by 100. We can also move the decimal point to the left two spaces.

2

What is the decimal equivalence of 46%?

Explanation

This problem is simply asking us to convert 46% into its decimal equivalence.

The quickest way to switch between decimals and percentage is by keeping in mind that it is a factor of 100. For instance, decimals may be converted to percents by multiplying by 100 whereas turning percents to decimals would be the opposite operation (division). This is true because by definition, a percentage is a portion of 100. In this case, we are interested in a portion of 46.

Given this information,

we may convert from percent to decimal. This would require dividing by 100.

3

What is the decimal equivalent of ?

Explanation

When presented with a percentage, we can effectively "move" the decimal point over two spots and arrive at the equivalent decimal. In our example, turns to in decimal form.

4

Which of the following is the decimal equivalent of ?

Explanation

To find the decimal equivalent of a percentage, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the left twice. In other words, divide the percentage by one hundred.

Thus, the answer is:

or by dividing by one hundred. Then multiply the numerator by ten to eliminate the decimal. Once the decimal is eliminated, perform division as usual.

5

If you owe the bank of dollars, how much money do you owe them?

Round your answer to the nearest cent.

Explanation

To solve this problem, first, you must convert the percentage above into a decimal.

To find the decimal equivalent of a percentage, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the left twice. In other words divide the percentage by one hundred.

Then, you take your result and multiply it by the initial amount for your answer:

6

Fill in the missing information.

Explanation

When reading aloud it reads out of , or "four tenths." This "four tenths" as a decimal is literally written .

We could also use the other term given to find our answer. Decimals are found from percentages by moving the decimal point two places to the left. Given , the decimal moved results in .

7

If you owe the bank of dollars, how much money do you owe them? Round your answer to the nearest cent.

Explanation

To solve this problem, first, you must convert the percentage above into a decimal. To find the decimal equivalent of a percentage, simply move the decimal (if there is none, remember that there is always an implied decimal after the one's digit) to the left twice. Then, you take your result and multiply it by the initial amount for your answer:

8

Find the decimal equivalent of the following percent:

Explanation

In order to find the decimal equivalent for a percent, all we have to do is divide our percent by 100. We can also move the decimal point to the left two spaces.

9

Find the decimal of .

Explanation

The number in percent is out of 100 parts. Remove the percentage sign and divide this number by 100.

This is the same as moving the decimal place of 1105 two places to the left.

The answer is:

10

Explanation

First multiple the percentage by the fraction:

Then divide the percentage value by 100 to get the decimal equivalent

Page 1 of 6
Return to subject