309.59 is what percent of 5208.33 - 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 5208.33 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 5208.33, so we can write it down as 100%=5208.33.
4. We know, that x% equals 309.59 of the output value, so we can write it down as x%=309.59.
5. Now we have two simple equations:
1) 100%=5208.33
2) x%=309.59
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%=5208.33/309.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 309.59 is what percent of 5208.33

100%/x%=5208.33/309.59
(100/x)*x=(5208.33/309.59)*x       - we multiply both sides of the equation by x
100=16.823314706547*x       - we divide both sides of the equation by (16.823314706547) to get x
100/16.823314706547=x
5.9441318042444=x
x=5.9441318042444

now we have:
309.59 is 5.9441318042444% of 5208.33