308.16 is what percent of 513.61 - 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 513.61 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 513.61, so we can write it down as 100%=513.61.
4. We know, that x% equals 308.16 of the output value, so we can write it down as x%=308.16.
5. Now we have two simple equations:
1) 100%=513.61
2) x%=308.16
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%=513.61/308.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 308.16 is what percent of 513.61

100%/x%=513.61/308.16
(100/x)*x=(513.61/308.16)*x       - we multiply both sides of the equation by x
100=1.6666991173416*x       - we divide both sides of the equation by (1.6666991173416) to get x
100/1.6666991173416=x
59.998831798446=x
x=59.998831798446

now we have:
308.16 is 59.998831798446% of 513.61