What is 9.82 percent of 11.48 - 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 11.48 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 11.48 is 100%, so we can write it down as 11.48=100%.
4. We know, that x is 9.82% of the output value, so we can write it down as x=9.82%.
5. Now we have two simple equations:
1) 11.48=100%
2) x=9.82%
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:
11.48/x=100%/9.82%
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 9.82% of 11.48

11.48/x=100/9.82
(11.48/x)*x=(100/9.82)*x       - we multiply both sides of the equation by x
11.48=10.183299389002*x       - we divide both sides of the equation by (10.183299389002) to get x
11.48/10.183299389002=x
1.127336=x
x=1.127336

now we have:
9.82% of 11.48=1.127336