What is 11.06 percent of 1.149 - 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 1.149 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 1.149 is 100%, so we can write it down as 1.149=100%.
4. We know, that x is 11.06% of the output value, so we can write it down as x=11.06%.
5. Now we have two simple equations:
1) 1.149=100%
2) x=11.06%
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:
1.149/x=100%/11.06%
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 11.06% of 1.149

1.149/x=100/11.06
(1.149/x)*x=(100/11.06)*x       - we multiply both sides of the equation by x
1.149=9.0415913200723*x       - we divide both sides of the equation by (9.0415913200723) to get x
1.149/9.0415913200723=x
0.1270794=x
x=0.1270794

now we have:
11.06% of 1.149=0.1270794