517.39 is what percent of 431.35 - 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 431.35 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 431.35, so we can write it down as 100%=431.35.
4. We know, that x% equals 517.39 of the output value, so we can write it down as x%=517.39.
5. Now we have two simple equations:
1) 100%=431.35
2) x%=517.39
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%=431.35/517.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 517.39 is what percent of 431.35

100%/x%=431.35/517.39
(100/x)*x=(431.35/517.39)*x       - we multiply both sides of the equation by x
100=0.83370378244651*x       - we divide both sides of the equation by (0.83370378244651) to get x
100/0.83370378244651=x
119.94667903095=x
x=119.94667903095

now we have:
517.39 is 119.94667903095% of 431.35