11.13 is what percent of 55.63 - 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 55.63 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 55.63, so we can write it down as 100%=55.63.
4. We know, that x% equals 11.13 of the output value, so we can write it down as x%=11.13.
5. Now we have two simple equations:
1) 100%=55.63
2) x%=11.13
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%=55.63/11.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.13 is what percent of 55.63

100%/x%=55.63/11.13
(100/x)*x=(55.63/11.13)*x       - we multiply both sides of the equation by x
100=4.9982030548068*x       - we divide both sides of the equation by (4.9982030548068) to get x
100/4.9982030548068=x
20.007190364911=x
x=20.007190364911

now we have:
11.13 is 20.007190364911% of 55.63