What is 55.4 percent of 20.201 - 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 20.201 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 20.201 is 100%, so we can write it down as 20.201=100%.
4. We know, that x is 55.4% of the output value, so we can write it down as x=55.4%.
5. Now we have two simple equations:
1) 20.201=100%
2) x=55.4%
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:
20.201/x=100%/55.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 55.4% of 20.201

20.201/x=100/55.4
(20.201/x)*x=(100/55.4)*x       - we multiply both sides of the equation by x
20.201=1.8050541516245*x       - we divide both sides of the equation by (1.8050541516245) to get x
20.201/1.8050541516245=x
11.191354=x
x=11.191354

now we have:
55.4% of 20.201=11.191354