11.11 is what percent of 55.53 - 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 55.53 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 55.53, so we can write it down as 100%=55.53.
4. We know, that x% equals 11.11 of the output value, so we can write it down as x%=11.11.
5. Now we have two simple equations:
1) 100%=55.53
2) x%=11.11
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%=55.53/11.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.11 is what percent of 55.53

100%/x%=55.53/11.11
(100/x)*x=(55.53/11.11)*x       - we multiply both sides of the equation by x
100=4.998199819982*x       - we divide both sides of the equation by (4.998199819982) to get x
100/4.998199819982=x
20.007203313524=x
x=20.007203313524

now we have:
11.11 is 20.007203313524% of 55.53