How can 17 of 58 be calculated

Converting a fraction like 17/58 to its percentage format is a very simple and useful math skill that will help students to understand fractions and how to express them in different ways. In this article, we'll show you exactly how to convert fractions to a percentage and give you lots of examples to help you.

There are two main ways to express a fraction as a percentage:

  1. Divide 100 by the numerator, and then multiply both numerator and denominator by the answer.
  2. Convert the fraction to a decimal first, then multiply the answer by 100.

The first step is to make sure we understand all of the terms in the problem we are trying to solve:

  • Numerator - this is the number above the fraction line. For 1758, the numerator is 17.
  • Denominator - this is the number below the fraction line. For 1758, the denominator is 58.
  • Per cent - "per cent" means parts per hundred, so saying 50%, for example, is the same as the fraction 50100 or 510.

Convert 17/58 to Percentage by Changing Denominator

The first method we have is to convert the fraction so that the denominator is 100. Since "per cent" means parts per hundred, if we can convert the fraction to have 100 as the denominator, we then know that the top number, the numerator, is the percentage.

First, we divide 100 by the denominator:

100 ÷ 58 = 1.7241379310345

Once we have the answer of 1.7241379310345, we can multiply both the numerator and the denominator by it to get our new "percent" fraction:

17 × 1.7241379310345 58 × 1.7241379310345 = 29.310344827586 100

Our percent fraction is 29.310344827586/100, which means that 1758 as a percentage is 29.31%.

Convert 17/58 to Percentage by Converting to Decimal

With this method, we first need to divide the numerator by the denominator:

17 ÷ 58 = 0.29310344827586

Once we have the fraction in a decimal format, the answer is then multiplied by 100 to get the correct percentage:

0.29310344827586 × 100 = 29.31%

We can see that this gives us the exact same answer as the first method: 17/58 as a percentage is 29.31%.

Both methods of converting a fraction to a percentage are pretty straightward and can be applied to any fraction easily when you have learned and memorized the steps involved.

Note, the final percentage is rounded to 2 decimal places to make the answer simple to read and understand.

Practice Percentage Worksheets

Like most math problems, percentages is something that will get much easier for you the more you practice the problems and the more you practice, the more you understand.

Whether you are a student, a parent, or a teacher, you can create your own percentage worksheets using our percentage worksheet generator. This completely free tool will let you create completely randomized, differentiated, percentafe problems to help you with your learning and understanding of percentages.

Practice Fractions to Percentage Using Examples

If you want to continue learning about how to convert fractions to percentages, take a look at the quick calculations and random calculations in the sidebar to the right of this blog post.

We have listed some of the most common fractions in the quick calculation section, and a selection of completely random fractions as well, to help you work through a number of problems.

Each article will show you, step-by-step, how to convert a fraction into a percentage and will help students to really learn and understand this process.

Calculate Another Fraction to Percentage Conversion


Enter your fraction in the boxes below and click "Calculate" to convert the fraction into a percentage.


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Using this tool you can find any percentage in three ways. So, we think you reached us looking for answers like: 1) What is 17 percent (%) of 58? 2) 17 is what percent of 58? Or may be: How much is 17 percent of 58?

See the solutions to these problems below.

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How to work out percentages - Step by Step

Here are the solutions to the questions stated above:

1) What is 17% of 58?

Always use this formula to find a percentage:

% / 100 = Part / Whole replace the given values:

17 / 100 = Part / 58

Cross multiply:

17 x 58 = 100 x Part, or

986 = 100 x Part

Now, divide by 100 and get the answer:

Part = 986 / 100 = 9.86

2) What is 17 out of 58?

This question is equivalent to: "17 is what percent of 58?" Or What percent 17 is out of 58?

Use again the same percentage formula:

% / 100 = Part / Whole replace the given values:

% / 100 = 17 / 58

Cross multiply:

% x 58 = 17 x 100

Divide by 58 to get the percentage:

% = (17 x 100) / 58 = 29.310344827586%

A shorter way to calculate x out of y

You can easily find 17 is out of 58, in one step, by simply dividing 17 by 58, then multiplying the result by 100. So,

17 is out of 58 = 17/58 x 100 = 29.310344827586%

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How can 17 of 58 be calculated

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How can you find 17% of 58?

Multiply 17/100 with 58 = (17/100)*58 = (17*58)/100 = 9.86.

How do you work out 17 percent of a number?

We need to multiply decimal by the number we are finding the percentage of. Example 2) Find 17% of 160m. Convert the percentage to a decimal by dividing by 100. We need to multiply this decimal by our number.

How can we calculated percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.

How do I work out what percentage an amount is of another amount?

If using a calculator, you can calculate one number as a percentage of another by dividing the numbers and multiplying by 100.