What is 92.2 percent of 11.5 - 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 11.5 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 11.5 is 100%, so we can write it down as 11.5=100%.
4. We know, that x is 92.2% of the output value, so we can write it down as x=92.2%.
5. Now we have two simple equations:
1) 11.5=100%
2) x=92.2%
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:
11.5/x=100%/92.2%
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 92.2% of 11.5

11.5/x=100/92.2
(11.5/x)*x=(100/92.2)*x       - we multiply both sides of the equation by x
11.5=1.0845986984816*x       - we divide both sides of the equation by (1.0845986984816) to get x
11.5/1.0845986984816=x
10.603=x
x=10.603

now we have:
92.2% of 11.5=10.603