519.39 is what percent of 318.4 - 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 318.4 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 318.4, so we can write it down as 100%=318.4.
4. We know, that x% equals 519.39 of the output value, so we can write it down as x%=519.39.
5. Now we have two simple equations:
1) 100%=318.4
2) x%=519.39
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%=318.4/519.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 519.39 is what percent of 318.4

100%/x%=318.4/519.39
(100/x)*x=(318.4/519.39)*x       - we multiply both sides of the equation by x
100=0.61302681992337*x       - we divide both sides of the equation by (0.61302681992337) to get x
100/0.61302681992337=x
163.125=x
x=163.125

now we have:
519.39 is 163.125% of 318.4