Answer:
[tex]x\approx 53.85[/tex]
Step-by-step explanation:
If 78% of x (some number) is equal to 42, then We must set this as an equation to find it.
1) Rewriting 78% as a fraction. And considering that when We say 78% of some number (x) we mean a product.
[tex]78\%=\frac{78}{100}\Rightarrow \frac{78}{100}x=42[/tex]
2) Then we can go on:
[tex]100*\frac{78}{100}x= 42*100\\\\78x=4200\\ \\\frac{78x}{78}=\frac{4200}{78}\Rightarrow x\approx 53.85\\[/tex]
3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result:
[tex]\frac{42}{0.78}\approx 53.85[/tex]
