5.59 is what percent of 85.39 - 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 85.39 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 85.39, so we can write it down as 100%=85.39.
4. We know, that x% equals 5.59 of the output value, so we can write it down as x%=5.59.
5. Now we have two simple equations:
1) 100%=85.39
2) x%=5.59
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%=85.39/5.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.59 is what percent of 85.39

100%/x%=85.39/5.59
(100/x)*x=(85.39/5.59)*x       - we multiply both sides of the equation by x
100=15.275491949911*x       - we divide both sides of the equation by (15.275491949911) to get x
100/15.275491949911=x
6.5464340086661=x
x=6.5464340086661

now we have:
5.59 is 6.5464340086661% of 85.39