What is 0.95 percent of 11.689 - 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 11.689 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 11.689 is 100%, so we can write it down as 11.689=100%.
4. We know, that x is 0.95% of the output value, so we can write it down as x=0.95%.
5. Now we have two simple equations:
1) 11.689=100%
2) x=0.95%
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:
11.689/x=100%/0.95%
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 0.95% of 11.689

11.689/x=100/0.95
(11.689/x)*x=(100/0.95)*x       - we multiply both sides of the equation by x
11.689=105.26315789474*x       - we divide both sides of the equation by (105.26315789474) to get x
11.689/105.26315789474=x
0.1110455=x
x=0.1110455

now we have:
0.95% of 11.689=0.1110455