What is 160% of 80?

1 Answer

#128#

Explanation:

  1. We assume that the number #80# is #100%# because it's the output value of the task.
  2. We assume that #x# is the value we are looking for.
  3. If #80# is #100%#, we can write it down as #80=100%#.
  4. We know that #x# is #160%# of the output value, so we can write it down as #x=160%#.
  5. Now we have two simple equations:
    #1)" " 80=100%#
    #2) " "x=160%#
    where the left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
    #80/x = (100%)/(160%)#
  6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

  7. The solution for what is #160%# of #80#.

#80/x=100/160#

#(80/x)*x=(100/160)*x " " ->#we multiply both sides of the equation by #x#

#80=0.625*x " " -># we divide both sides of the equation by #0.625# to get #x#

#80/0.625=x #

#128=x #

#x=128#

Now we have:

#"160% of 80 = 128"#