What is 160% of 80?

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Answer 1 · 2018-03-13T20:08:45

#128#

We assume that the number #80# is #100%# because it's the output value of the task.
We assume that #x# is the value we are looking for.
If #80# is #100%#, we can write it down as #80=100%#.
We know that #x# is #160%# of the output value, so we can write it down as #x=160%#.
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%)#
Now we just have to solve the simple equation, and we will get the solution we are looking for.
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"#