What is 11.075 percent of 88.53 - 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 88.53 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 88.53 is 100%, so we can write it down as 88.53=100%.
4. We know, that x is 11.075% of the output value, so we can write it down as x=11.075%.
5. Now we have two simple equations:
1) 88.53=100%
2) x=11.075%
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:
88.53/x=100%/11.075%
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 11.075% of 88.53

88.53/x=100/11.075
(88.53/x)*x=(100/11.075)*x       - we multiply both sides of the equation by x
88.53=9.0293453724605*x       - we divide both sides of the equation by (9.0293453724605) to get x
88.53/9.0293453724605=x
9.8046975=x
x=9.8046975

now we have:
11.075% of 88.53=9.8046975