What is 85.1 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 85.1% of the output value, so we can write it down as x=85.1%.
5. Now we have two simple equations:
1) 11.5=100%
2) x=85.1%
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%/85.1%
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 85.1% of 11.5

11.5/x=100/85.1
(11.5/x)*x=(100/85.1)*x       - we multiply both sides of the equation by x
11.5=1.1750881316099*x       - we divide both sides of the equation by (1.1750881316099) to get x
11.5/1.1750881316099=x
9.7865=x
x=9.7865

now we have:
85.1% of 11.5=9.7865