517.86 is what percent of 6336.18 - 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 6336.18 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 6336.18, so we can write it down as 100%=6336.18.
4. We know, that x% equals 517.86 of the output value, so we can write it down as x%=517.86.
5. Now we have two simple equations:
1) 100%=6336.18
2) x%=517.86
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%=6336.18/517.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 517.86 is what percent of 6336.18

100%/x%=6336.18/517.86
(100/x)*x=(6336.18/517.86)*x       - we multiply both sides of the equation by x
100=12.235314563782*x       - we divide both sides of the equation by (12.235314563782) to get x
100/12.235314563782=x
8.1730632652481=x
x=8.1730632652481

now we have:
517.86 is 8.1730632652481% of 6336.18