22.1 is what percent of 55.37 - 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 55.37 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 55.37, so we can write it down as 100%=55.37.
4. We know, that x% equals 22.1 of the output value, so we can write it down as x%=22.1.
5. Now we have two simple equations:
1) 100%=55.37
2) x%=22.1
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%=55.37/22.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.1 is what percent of 55.37

100%/x%=55.37/22.1
(100/x)*x=(55.37/22.1)*x       - we multiply both sides of the equation by x
100=2.5054298642534*x       - we divide both sides of the equation by (2.5054298642534) to get x
100/2.5054298642534=x
39.913310456926=x
x=39.913310456926

now we have:
22.1 is 39.913310456926% of 55.37