Fraction to Percentage Calculator


Instructions: Use this step-by-step fraction to percentage calculator to compute what percentage is associated to a fraction \(\frac{D}{X}\). Please provide the required information in the form below:

The fraction \(D / X \) (Ex: 2/3, etc) =

You will compute the percentage associated to the given fraction \(D / X\).



Fraction to Percentage Calculator

The idea of a fraction and a percentage are tightly related. Indeed, a percentage is, by its name, is how much of a total the value is, if the total value were 100.

So, it is like amplifying the terms in the fraction so that the denominator has 100 in it. The resulting value in the numerator is the percentage. But there must be an easier way of seeing it. Well, you bet!

How Do You Compute a Fraction into a Percentage

We compute the required percentage associated to a fraction by simply using the following formula:

\[\text{Percentage} = \text{Decimal expression of } \displaystyle\frac{D}{X} \times 100\]

That is all. You take the decimal expression of the fraction \(\frac{D}{X}\), and then, the result of that decimal expression is multplied by 100, and you get your desired percentage.

Example of converting a fraction into a percentage

Example: What percentage is 13 of 38?

Using the above formula, we get:

\[\text{Percentage} = \displaystyle\frac{13}{38} \times 100\] \[ = 0.342105263 \times 100\] \[ = 34.21 \%\]

Is This Related to a Regular Percentage Calculator?

Yes, absolutely, the idea of converting a fraction to percentage is tightly related with the concept of computing a regular percentage. They are essentially the same thing. When you are computing the percentage corresponding to the fraction \(\frac{D}{X}\), what you are really doing is to compute what percentage \(D\) is of \(X\).




In case you have any suggestion, or if you would like to report a broken solver/calculator, please do not hesitate to contact us.

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