539.85 is what percent of 525 - 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 525 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 525, so we can write it down as 100%=525.
4. We know, that x% equals 539.85 of the output value, so we can write it down as x%=539.85.
5. Now we have two simple equations:
1) 100%=525
2) x%=539.85
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%=525/539.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 539.85 is what percent of 525

100%/x%=525/539.85
(100/x)*x=(525/539.85)*x       - we multiply both sides of the equation by x
100=0.97249235898861*x       - we divide both sides of the equation by (0.97249235898861) to get x
100/0.97249235898861=x
102.82857142857=x
x=102.82857142857

now we have:
539.85 is 102.82857142857% of 525