What is 11.08 percent of 92 - 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 92 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 92 is 100%, so we can write it down as 92=100%.
4. We know, that x is 11.08% of the output value, so we can write it down as x=11.08%.
5. Now we have two simple equations:
1) 92=100%
2) x=11.08%
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:
92/x=100%/11.08%
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 11.08% of 92

92/x=100/11.08
(92/x)*x=(100/11.08)*x       - we multiply both sides of the equation by x
92=9.0252707581227*x       - we divide both sides of the equation by (9.0252707581227) to get x
92/9.0252707581227=x
10.1936=x
x=10.1936

now we have:
11.08% of 92=10.1936