85.08 is what percent of 143.13 - 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 143.13 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 143.13, so we can write it down as 100%=143.13.
4. We know, that x% equals 85.08 of the output value, so we can write it down as x%=85.08.
5. Now we have two simple equations:
1) 100%=143.13
2) x%=85.08
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%=143.13/85.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.08 is what percent of 143.13

100%/x%=143.13/85.08
(100/x)*x=(143.13/85.08)*x       - we multiply both sides of the equation by x
100=1.6822990126939*x       - we divide both sides of the equation by (1.6822990126939) to get x
100/1.6822990126939=x
59.442464892056=x
x=59.442464892056

now we have:
85.08 is 59.442464892056% of 143.13