52.5 is what percent of 80.5 - 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 80.5 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 80.5, so we can write it down as 100%=80.5.
4. We know, that x% equals 52.5 of the output value, so we can write it down as x%=52.5.
5. Now we have two simple equations:
1) 100%=80.5
2) x%=52.5
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%=80.5/52.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.5 is what percent of 80.5

100%/x%=80.5/52.5
(100/x)*x=(80.5/52.5)*x       - we multiply both sides of the equation by x
100=1.5333333333333*x       - we divide both sides of the equation by (1.5333333333333) to get x
100/1.5333333333333=x
65.217391304348=x
x=65.217391304348

now we have:
52.5 is 65.217391304348% of 80.5