415.38 is what percent of 5192.31 - 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 5192.31 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 5192.31, so we can write it down as 100%=5192.31.
4. We know, that x% equals 415.38 of the output value, so we can write it down as x%=415.38.
5. Now we have two simple equations:
1) 100%=5192.31
2) x%=415.38
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%=5192.31/415.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 415.38 is what percent of 5192.31

100%/x%=5192.31/415.38
(100/x)*x=(5192.31/415.38)*x       - we multiply both sides of the equation by x
100=12.500144446049*x       - we divide both sides of the equation by (12.500144446049) to get x
100/12.500144446049=x
7.9999075555966=x
x=7.9999075555966

now we have:
415.38 is 7.9999075555966% of 5192.31