18.09 is 26.8% of what number?

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Answer 1 · 2016-12-05T17:20:52

18.09 is 26.8% of 67.5

Let's call the number we are looking for $n$ . We can then write this problem as;

18.09 is 26.8% of $n$

"Percent" or "%" means "out of 100" or "per 100", Therefore 26.8% can be written as $26.8/100$ .

When dealing with percents the word "of" means "times" or "to multiply".

Putting this altogether we can write this equation and solve for $n$ while keeping the equation balanced:

$18.09 = 26.8/100 xx n$

$18.09 * 100/26.8 = 100/26.8 26.8/100 xx n$

$1809/26.8 = cancel(100)/cancel(26.8) cancel(26.8)/cancel(100) xx n$

$67.5 = n$