What is 85.2 percent of 11500 - 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 11500 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 11500 is 100%, so we can write it down as 11500=100%.
4. We know, that x is 85.2% of the output value, so we can write it down as x=85.2%.
5. Now we have two simple equations:
1) 11500=100%
2) x=85.2%
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:
11500/x=100%/85.2%
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 85.2% of 11500

11500/x=100/85.2
(11500/x)*x=(100/85.2)*x       - we multiply both sides of the equation by x
11500=1.1737089201878*x       - we divide both sides of the equation by (1.1737089201878) to get x
11500/1.1737089201878=x
9798=x
x=9798

now we have:
85.2% of 11500=9798