Answer: " 187. 774 % " .
_____________________________________
Step-by-step explanation:
_____________________________________
So, let's rewrite this statement as a question:
0.599 is "what percent" of: 0.319 ? ;
Set up an equation:
[tex]0.599 = (\frac{n}{100}) *0.319[/tex] ;
↔ [tex](\frac{n}{100}) * 0.319 = 0.599[/tex] ;
_____________________________________
Divide each side of the equation by: "(0.319)" ; as follows:
_____________________________________
[tex][ (\frac{n}{100}) * 0.319 ] / 0.319 = (0.599)/ (0.319)[/tex] ;
to get:
_____________________________________
[tex]\frac{n}{100} = 1.87774294671[/tex] ;
_____________________________________
Now, multiply each side of the equation by "100" ;
to isolate "n" on one side of the equation; & to solve for "n" ;
_____________________________________
[tex]100 * (\frac{n}{100)} = (1.87774294671) * 100[/tex] ;
_____________________________________
On the left-hand side of the equation; the "100's: cancel out to "1" ;
→ since: "[tex](\frac{100}{100} =1)[/tex]" ;
and we have:
→ n = 187.774294671 ;
round to three decimal places:
→ n = 187. 774 .
The answer is: 187.774 % .
_____________________________________
