55.11 is what percent of 55 - 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 55 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 55, so we can write it down as 100%=55.
4. We know, that x% equals 55.11 of the output value, so we can write it down as x%=55.11.
5. Now we have two simple equations:
1) 100%=55
2) x%=55.11
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%=55/55.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 55.11 is what percent of 55

100%/x%=55/55.11
(100/x)*x=(55/55.11)*x       - we multiply both sides of the equation by x
100=0.99800399201597*x       - we divide both sides of the equation by (0.99800399201597) to get x
100/0.99800399201597=x
100.2=x
x=100.2

now we have:
55.11 is 100.2% of 55