What is 32/58 as a percent?

A fraction is one representation of a number that is only part of a whole. Another way to represent this is in percentages. In this guide, we will show you how to convert 32/58 into a percentage.

Solution: 32/58 as a percent is 55

Methods

Method 1 – Converting 32/58 Into a Percentage:

First, let’s go over what a fraction represents. The number above the line is called the numerator, while the number below the line is called the denominator. The fraction shows how many portions of the number there are, in relation to how many would make up the whole. For instance, in the fraction 32/58, we could say that the value is 32 portions, out of a possible 58 portions to make up the whole.

For percentages, the difference is that we want to know how many portions there are if there are 100 portions possible. “Percent” means “per hundred”. For example, if we look at the percentage 25%, that means we have 25 portions of the possible 100 portions. Re-writing this in fraction form, we see 25/100.

The first step in converting a fraction to a percentage is to adjust the fraction so that the denominator is 100. To do this, you first divide 100 by the denominator:

$\frac{100}{58} = 1.72$

We can then adjust the whole fraction using this number, like so:

$\frac{32*1.72}{58*1.72} = \frac{55.04}{100}$

Reading this as a fraction, we can say that we have 55.04 portions of a possible 100 portions.

Re-writing this as a percentage, we can see that 32/58 as a percentage is 55.

Method 2 – Converting 32/58 Into a Percentage Using Decimals:

Another way we can convert 32/58 into a percentage is to first convert 32/58 into a decimal. We can do this by simply dividing the numerator by the denominator:

$\frac{32}{58} = 0.55$

Once we have the answer, we can multiply the new decimal by 100 to get the percentage:

0.55 * 100 = 55

As you can see, we get the same answer as the first method and find that 32/58 as a percentage is 55.

Now you know of two different ways to convert 32/58 into a percentage! While converting using a decimal takes fewer steps, you first need to master converting fractions into decimals. Try out both methods and see which one works best for you! 8 Math Hacks and Tricks to Turn Your ‘Okay’ Math Student Into a Math Champion!

One thing we teach our students at Thinkster is that there are multiple ways to solve a math problem. This helps our students learn to think flexibly and non-linearly.

Get PDF How to Make Sure Your Child is Highly Successful and Becomes a Millionaire

As a parent, you hope your child is extremely successful and likely become the next Gates, Zuckerberg, or Meg Whitman. To set your child on the right path, there are many skills and traits that you can start building and nurturing now. Doing so plants the seeds for future success.

Get PDF

Your Child Can Improve Their Math Scores By 90% Within 3 months!

Our elite math tutors are ready to help make your child a math champion! Sign up for our zero \$ free trial to get started today.

Get Price