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:

$"160% of 80 = 128"$