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7 17 Percentage

It’s not easy for a company to succeed in today’s environment. And competition for a slice of the pie gets more fierce with every passing day.

I've seen a lot of students get confused whenever a question comes up about converting a fraction to a percentage, but if you follow the steps laid out here it should be simple. That said, you may still need a calculator for more complicated fractions (and you can always use our calculator in the form below).

In this section we learn how to express one number as a percentage of annother. For example, by the end of this section we'll have no trouble showing that: \[18 = 45\% \ \text{of} \ 40\] We start by learning the method as well as read through a worked example before working through some exercises. (Source: www.radfordmathematics.com)

Step 2: we write \(\frac{3}{5}\) as an equivalent fraction over \(100\). Using the fact that \(100 = 5\times 20\), we multiply both the numerator and the denominator by \(20\) to obtain our fraction: \[\frac{3}{5} = \frac{3\times 20}{5\times 20} = \frac{60}{100}\] Finally, since \(\frac{60}{100} = 60\%\) we can state that \(3\) is \(60\%\) of \(5\).

Before we get started in the fraction to percentage conversion, let's go over some very quick fraction basics. Remember that a numerator is the number above the fraction line, and the denominator is the number below the fraction line. We'll use this later in the tutorial. (Source: visualfractions.com)

When you are working in a role where you might deal frequently with taxes (for example in accountancy or the building trade), having a quick and easy way to calculate the tax in your head is very useful. In the UK, when VAT and CIS (Construction Industry Scheme) taxes are 20%, a handy mental maths hack is to work out 10% (move the decimal point one place to the left) and then double your answer to get 20%.

Discover how to convert fractions to decimals, two ways of representing values of less than one. Learn how to construct each type and what they mean, and explore the steps to converting between them through examples. (Source: study.com)