567.51 is what percent of 12156.23 - 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 12156.23 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 12156.23, so we can write it down as 100%=12156.23.
4. We know, that x% equals 567.51 of the output value, so we can write it down as x%=567.51.
5. Now we have two simple equations:
1) 100%=12156.23
2) x%=567.51
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%=12156.23/567.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 567.51 is what percent of 12156.23

100%/x%=12156.23/567.51
(100/x)*x=(12156.23/567.51)*x       - we multiply both sides of the equation by x
100=21.420292153442*x       - we divide both sides of the equation by (21.420292153442) to get x
100/21.420292153442=x
4.6684704057097=x
x=4.6684704057097

now we have:
567.51 is 4.6684704057097% of 12156.23