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Tuesday, 15 April 2014 00:00

What is Percent?

By  Gideon
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What is Percent?

A percent is a special ratio or fraction that always has denominator equal to one hundred.

For example,

\[ \frac{1}{100},\]

\[ \frac{10}{100},\]

\[ \frac{50}{100},\]

are all percents, called one percent, ten percent, and fifty percent, respectively.


Any fraction can be represented as a percent by solving the equation:

\[ \frac{x}{y} = \frac{z}{100}.\]

For example, if \(\frac{x}{y}\) is one-half, then

\[ x = 1,\]

and

\[ y = 2.\]

We need to solve the equation:

\[ \frac{1}{2} = \frac{z}{100}.\]

This gives

\[ z = 100 \times \frac{100}{2} = 50.\]

So one-half is equal to fifty percent.

For another example, if the fraction is three-quarters, then

\[ x = 3,\]

\[ y = 4,\]

so that

\[ z = 100 \times \frac{3}{4} = \frac{300}{4} = 75.\]

Therefore three-quarters is seventy-five percent. 

 

Read 1526 times Last modified on Tuesday, 15 April 2014 17:04
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