42.16 is what percent of 604.64 - 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 604.64 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 604.64, so we can write it down as 100%=604.64.
4. We know, that x% equals 42.16 of the output value, so we can write it down as x%=42.16.
5. Now we have two simple equations:
1) 100%=604.64
2) x%=42.16
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%=604.64/42.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.16 is what percent of 604.64

100%/x%=604.64/42.16
(100/x)*x=(604.64/42.16)*x       - we multiply both sides of the equation by x
100=14.34155597723*x       - we divide both sides of the equation by (14.34155597723) to get x
100/14.34155597723=x
6.972744112199=x
x=6.972744112199

now we have:
42.16 is 6.972744112199% of 604.64