55 is what percent of 477.72 - 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 477.72 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 477.72, so we can write it down as 100%=477.72.
4. We know, that x% equals 55 of the output value, so we can write it down as x%=55.
5. Now we have two simple equations:
1) 100%=477.72
2) x%=55
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%=477.72/55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55 is what percent of 477.72

100%/x%=477.72/55
(100/x)*x=(477.72/55)*x       - we multiply both sides of the equation by x
100=8.6858181818182*x       - we divide both sides of the equation by (8.6858181818182) to get x
100/8.6858181818182=x
11.513020179184=x
x=11.513020179184

now we have:
55 is 11.513020179184% of 477.72