478.63 is what percent of 6028.5 - 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 6028.5 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 6028.5, so we can write it down as 100%=6028.5.
4. We know, that x% equals 478.63 of the output value, so we can write it down as x%=478.63.
5. Now we have two simple equations:
1) 100%=6028.5
2) x%=478.63
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%=6028.5/478.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 478.63 is what percent of 6028.5

100%/x%=6028.5/478.63
(100/x)*x=(6028.5/478.63)*x       - we multiply both sides of the equation by x
100=12.595324154357*x       - we divide both sides of the equation by (12.595324154357) to get x
100/12.595324154357=x
7.9394542589367=x
x=7.9394542589367

now we have:
478.63 is 7.9394542589367% of 6028.5