Question

$18.09$ is $26.8$% of what number?

Answer 1

$18.09$ is $26.8$% of $67.5$
Explanation:
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 $\frac{26.8}{100}$.
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:
$18.09=\frac{26.8}{100}\times n$
$18.09\times \frac{100}{26.8}=\frac{100}{26.8}\times \frac{26.8}{100}\times n$
$\frac{1809}{26.8}=n$
$67.5=n$