Question

What is 160% of 80?

Answer 1

`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"`