85.68 is what percent of 10.09 - 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 10.09 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 100% equals 10.09, so we can write it down as 100%=10.09.
4. We know, that x% equals 85.68 of the output value, so we can write it down as x%=85.68.
5. Now we have two simple equations:
1) 100%=10.09
2) x%=85.68
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:
100%/x%=10.09/85.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.68 is what percent of 10.09

100%/x%=10.09/85.68
(100/x)*x=(10.09/85.68)*x       - we multiply both sides of the equation by x
100=0.11776377217554*x       - we divide both sides of the equation by (0.11776377217554) to get x
100/0.11776377217554=x
849.15758176412=x
x=849.15758176412

now we have:
85.68 is 849.15758176412% of 10.09