What percent is 26 of 30?

Jan 14, 2017

26 of 30 is 86.7%

Explanation:

Let's call the percent we are looking for $p$.

"Percent" or "%" means "out of 100" or "per 100", Therefore 9% can be written as $\frac{9}{100}$.

When dealing with the term "x of y" or "26 of 30" it means to divide.

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

$\frac{p}{100} = \frac{26}{30}$

$\textcolor{red}{100} \times \frac{p}{100} = \textcolor{red}{100} \times \frac{26}{30}$

$\cancel{\textcolor{red}{100}} \times \frac{p}{\textcolor{red}{\cancel{\textcolor{b l a c k}{100}}}} = \frac{2600}{30}$

$p = 86.7$ rounded to the nearest tenth/