Respuesta :
Answer
1394
Explanation
Let [tex]x[/tex] be the number
Since 65% of the number is 1105 and [tex]x[/tex] is the number, 65%[tex]x[/tex] = 1105. Before solving for [tex]x[/tex], we are going to convert 65% to decimal by dividing it by 100%:
65% = [tex]\frac{65}{100} =0.65[/tex]
Now we can rewrite our equation and solve for [tex]x[/tex]:
[tex]0.65x=1105[/tex]
[tex]x=\frac{1105}{0.65}[/tex]
[tex]x=1700[/tex]
Now that we have our number, the only thing left is find the 82% of 1700:
82% = [tex]\frac{82}{100} =0.82[/tex]
[tex]0.82*1700=1394[/tex]
We can conclude that the 82% of the number is 1394