.Answer and Step-by-step explanation:
[tex]40[/tex]%
Here's how to do it:
[tex]First,~we~make~the~assumption~that~90~is~100[/tex]% [tex]put~value.[/tex]
[tex]Next,we~next~represent~the~value~we~seek~with~``x".[/tex]
[tex]it~follows~that ~100[/tex]%[tex]=90.[/tex]
[tex]which,~the~same~thing~goes~for~x[/tex]% [tex]=36[/tex]
[tex]Now,~this~gives~us~some~simple~equations:[/tex]
[tex]equation~1:~100[/tex]% [tex]=90[/tex]
[tex]equation~2:~x[/tex]% [tex]=36[/tex]
[tex]By~simply~dividing~equation~1~by~equation~2~and~taking[/tex] [tex]note~of~the~fact~that~both~the~LHS~(left~hand~side)~of~both~equations[/tex] [tex]have~the~same~unit[/tex] (%) [tex]we~have:[/tex]
[tex]\frac{100~percentage}{x~percentage}[/tex] [tex]= \frac{90}{36}[/tex]
[tex]Taking~the~inverse~(or~reciprocal)~of~both~sides~yields[/tex]
[tex]\frac{x~percentage}{100~percentage} =\frac{36}{90}[/tex]
⇒[tex]x=40[/tex]%
[tex]Thus,36~is~40[/tex]% [tex]of~90.[/tex]
