What is 105 percent of 0.1 - 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 0.1 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 0.1 is 100%, so we can write it down as 0.1=100%.
4. We know, that x is 105% of the output value, so we can write it down as x=105%.
5. Now we have two simple equations:
1) 0.1=100%
2) x=105%
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:
0.1/x=100%/105%
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 105% of 0.1

0.1/x=100/105
(0.1/x)*x=(100/105)*x       - we multiply both sides of the equation by x
0.1=0.95238095238095*x       - we divide both sides of the equation by (0.95238095238095) to get x
0.1/0.95238095238095=x
0.105=x
x=0.105

now we have:
105% of 0.1=0.105