618.42 is what percent of 4672.68 - 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 4672.68 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 4672.68, so we can write it down as 100%=4672.68.
4. We know, that x% equals 618.42 of the output value, so we can write it down as x%=618.42.
5. Now we have two simple equations:
1) 100%=4672.68
2) x%=618.42
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%=4672.68/618.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 618.42 is what percent of 4672.68

100%/x%=4672.68/618.42
(100/x)*x=(4672.68/618.42)*x       - we multiply both sides of the equation by x
100=7.5558358397206*x       - we divide both sides of the equation by (7.5558358397206) to get x
100/7.5558358397206=x
13.234803153651=x
x=13.234803153651

now we have:
618.42 is 13.234803153651% of 4672.68