What is 50.05 percent of 100.1 - 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 100.1 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 100.1 is 100%, so we can write it down as 100.1=100%.
4. We know, that x is 50.05% of the output value, so we can write it down as x=50.05%.
5. Now we have two simple equations:
1) 100.1=100%
2) x=50.05%
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:
100.1/x=100%/50.05%
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 50.05% of 100.1

100.1/x=100/50.05
(100.1/x)*x=(100/50.05)*x       - we multiply both sides of the equation by x
100.1=1.998001998002*x       - we divide both sides of the equation by (1.998001998002) to get x
100.1/1.998001998002=x
50.10005=x
x=50.10005

now we have:
50.05% of 100.1=50.10005