55.6 is what percent of 406.5 - 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 406.5 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 406.5, so we can write it down as 100%=406.5.
4. We know, that x% equals 55.6 of the output value, so we can write it down as x%=55.6.
5. Now we have two simple equations:
1) 100%=406.5
2) x%=55.6
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%=406.5/55.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.6 is what percent of 406.5

100%/x%=406.5/55.6
(100/x)*x=(406.5/55.6)*x       - we multiply both sides of the equation by x
100=7.3111510791367*x       - we divide both sides of the equation by (7.3111510791367) to get x
100/7.3111510791367=x
13.677736777368=x
x=13.677736777368

now we have:
55.6 is 13.677736777368% of 406.5