Question

43 is 62% of what number?​

Answer 1

`\large\boxed{(2150)/(31)\approx69.35}`

Explanation:

`\bold{METHOD\ 1:}\\\\\begin{array}{ccc}43&-&62\%\\\\x&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\62x=(43)(100)\\\\62x=4300\qquad\text{divide both sides by 62}\\\\x=(4300)/(62)\\\\x=(4300:2)/(62:2)\\\\x=(2150)/(31)\approx69.35`

`\bold{METHOD\ 2:}\\\\p\%=(p)/(100)\to62\%=(62)/(100)=0.62\\\\62\%\ of\ x\ is\ equal\ to\ 43\to0.62x=43\qquad\text{divide both sides by 0.62}\\\\(0.62x)/(0.62)=(43)/(0.62)\\\\x=(43\cdot100)/(0.62\cdot100)\\\\x=(4300)/(62)\\\\x=(2150)/(31)\approx69.35`