Question

75% of what number is 42?

Answer 1

75            42
-----         -----
100           x

75 x= 4200
---       ------
75       75

x = 56

Answer 2

Answer:

56

Step-by-step explanation:

$\bold{METHOD\ 1:}\\\\\begin{array}{ccc}100\%&-&x\\75\%&-&42\end{array}\qquad\text{cross multiply}\\\\75x=(100)(42)\\75x=4200\qquad\text{divide both sides by 75}\\\boxed{x=56}$

$\bold{METHOD\ 2:}\\\\p\%=\dfrac{p}{100}\to75\%=\dfrac{75}{100}=0.75\\\\75\%\ of\ x\ is\ 42\to0.75x=42\qquad\text{divide both sides by 0.75}\\\\\boxed{x=56}$