[tex]Method\ \#1:\\\\\begin{array}{ccc}150&-&100\%\\10&-&p\%\end{array}\qquad\text{cross multiply}\\\\150p=1000\qquad\text{divide both sides by 150}\\\\p=\dfrac{1000}{150}\\\\p=\dfrac{100}{15}\\\\p=\dfrac{20}{3}\\\\p=6\dfrac{2}{3}[/tex]
[tex]Method\ \#2:\\\\\begin{matrix}150&-&100\%&\text{divide both sides by 10}\\15&-&10\%&\text{divide both sides by 3}\\5&-&\dfrac{10}{3}\%&\text{multiply both sides by 2}\\10&-&\dfrac{20}{3}\%\end{matrix}[/tex]
[tex]Method\ \#3:\\\\10\ of\ 150\ is\ \dfrac{10}{150}=\dfrac{1}{15}\\\\\text{Convert to the percent}\\\\\dfrac{1}{15}=\dfrac{1}{15}\cdot100\%=\dfrac{100}{15}\%=\dfrac{100:5}{15:5}\%=\dfrac{20}{3}\%=6\dfrac{2}{3}\%[/tex]
[tex]Answer:\ \boxed{10\ is\ 6\dfrac{2}{3}\%\ of\ 150.}[/tex]
