Question

18 is what percentage of 30

Answer 1

60%

Explanation:

`\bold{METHOD\ 1:}\\\\\text{Calculate what fraction of 30 is 18 and convert it to percent:}\\\\(18)/(30)=(18:6)/(30:6)=(3)/(5)\\\\(3)/(5)\cdot100\%=(300)/(5)\%=60\%`

`\bold{METHOD\ 2:}\\\\\begin{array}{ccc}30&-&100\%\\\\18&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\(30)(p)=(18)(100)\\\\30p=1800\qquad\text{divide both sides by 30}\\\\(30p)/(30)=(1800)/(30)\\\\p=60`