59.17 is what percent of 385.39 - 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 385.39 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 385.39, so we can write it down as 100%=385.39.
4. We know, that x% equals 59.17 of the output value, so we can write it down as x%=59.17.
5. Now we have two simple equations:
1) 100%=385.39
2) x%=59.17
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%=385.39/59.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.17 is what percent of 385.39

100%/x%=385.39/59.17
(100/x)*x=(385.39/59.17)*x       - we multiply both sides of the equation by x
100=6.5132668582052*x       - we divide both sides of the equation by (6.5132668582052) to get x
100/6.5132668582052=x
15.353278497107=x
x=15.353278497107

now we have:
59.17 is 15.353278497107% of 385.39