29166.67 is what percent of 58333.33 - 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 58333.33 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 58333.33, so we can write it down as 100%=58333.33.
4. We know, that x% equals 29166.67 of the output value, so we can write it down as x%=29166.67.
5. Now we have two simple equations:
1) 100%=58333.33
2) x%=29166.67
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%=58333.33/29166.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29166.67 is what percent of 58333.33

100%/x%=58333.33/29166.67
(100/x)*x=(58333.33/29166.67)*x       - we multiply both sides of the equation by x
100=1.9999996571429*x       - we divide both sides of the equation by (1.9999996571429) to get x
100/1.9999996571429=x
50.000008571429=x
x=50.000008571429

now we have:
29166.67 is 50.000008571429% of 58333.33