85.27 is what percent of 559 - 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 559 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 559, so we can write it down as 100%=559.
4. We know, that x% equals 85.27 of the output value, so we can write it down as x%=85.27.
5. Now we have two simple equations:
1) 100%=559
2) x%=85.27
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%=559/85.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.27 is what percent of 559

100%/x%=559/85.27
(100/x)*x=(559/85.27)*x       - we multiply both sides of the equation by x
100=6.5556467690864*x       - we divide both sides of the equation by (6.5556467690864) to get x
100/6.5556467690864=x
15.254025044723=x
x=15.254025044723

now we have:
85.27 is 15.254025044723% of 559