80 is what percent of 158.57 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 158.57 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 100% equals 158.57, so we can write it down as 100%=158.57.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=158.57
2) x%=80
where 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:
100%/x%=158.57/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 158.57

100%/x%=158.57/80
(100/x)*x=(158.57/80)*x       - we multiply both sides of the equation by x
100=1.982125*x       - we divide both sides of the equation by (1.982125) to get x
100/1.982125=x
50.450904963108=x
x=50.450904963108

now we have:
80 is 50.450904963108% of 158.57