What is 82.2 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 82.2% of the output value, so we can write it down as x=82.2%.
5. Now we have two simple equations:
1) 11.5=100%
2) x=82.2%
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%/82.2%
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 82.2% of 11.5

11.5/x=100/82.2
(11.5/x)*x=(100/82.2)*x       - we multiply both sides of the equation by x
11.5=1.2165450121655*x       - we divide both sides of the equation by (1.2165450121655) to get x
11.5/1.2165450121655=x
9.453=x
x=9.453

now we have:
82.2% of 11.5=9.453