Solution: 100/47 as a percent is 212.766%
Methods
Method 1 – Converting 100/47 Into a Percentage:
We will start with a quick review of fractions. In a fraction, there are two main elements: the numerator and the denominator. The numerator, which is the number above the line, shows how many pieces there are present. The denominator, which is the number below the line, shows how many pieces there would have to be in order to make up a whole number.
“Percent” means “per hundred”, which means that we want to find out how many pieces of the whole we would have if there are 100 pieces possible. This means that a percent is the same as showing what the numerator of a fraction would be if the denominator, or the number of pieces there would have to be to make up a whole, is 100.
For example, if we look at the percentage 40%, that means we have 40 pieces of the possible 100. Re-writing this in fraction form, we see 40/100.
To start converting a fraction into a percent, we first have to change the fraction so that the denominator will be 100. To do this, we first divide 100 by the denominator:
100
47
=
2.128
\frac{100}{47} = 2.128
47 100 = 2.128
This means that in order to change the denominator to 100, we will have to multiply it by 212.766. But to do that, we also have to multiply the numerator by the same number:
100
∗
2.128
47
∗
2.128
=
212.766
100
\frac{100*2.128}{47*2.128} = \frac{212.766}{100}
47 ∗ 2.128 100 ∗ 2.128 = 100 212.766
This works because multiplying both the numerator and the denominator by the same number is like multiplying it by 1. (2.128 / 2.128 = 1)
Once we are done multiplying, we can see that 100/47 as a percentage is 212.766%.
Method 2 – Converting 100/47 Into a Percentage Using Decimals:
There are other ways to convert a fraction into a percentage. One other common method is to first convert the fraction into a decimal.
To convert 100/47 into a percentage, you would first convert 100/47 into a decimal. This is done by dividing the numerator by the denominator:
100
47
=
2.128
\frac{100}{47} = 2.128
47 100 = 2.128
Once you have the decimal, you can multiply it by 100 to get the percentage:
2.128 x 100 = 212.766
And there you have it! When we’re done, we can see that 100/47 as a percentage is 212.766%.
Knowing these two methods will help you convert just about any fraction into a decimal. It’s good to know both methods. In your practice you may find that for some fractions, one method is easier, while the second method may be easier for others.
Give it a go! Grab some paper and try to convert some of your own fractions to percentages. You’ll be an expert in no time!
Master fraction to percentage problems!
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