55.66 is what percent of 577.78 - 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 577.78 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 577.78, so we can write it down as 100%=577.78.
4. We know, that x% equals 55.66 of the output value, so we can write it down as x%=55.66.
5. Now we have two simple equations:
1) 100%=577.78
2) x%=55.66
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%=577.78/55.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.66 is what percent of 577.78

100%/x%=577.78/55.66
(100/x)*x=(577.78/55.66)*x       - we multiply both sides of the equation by x
100=10.380524613726*x       - we divide both sides of the equation by (10.380524613726) to get x
100/10.380524613726=x
9.6334244868289=x
x=9.6334244868289

now we have:
55.66 is 9.6334244868289% of 577.78