10000.08 is what percent of 85000 - 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 85000 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 85000, so we can write it down as 100%=85000.
4. We know, that x% equals 10000.08 of the output value, so we can write it down as x%=10000.08.
5. Now we have two simple equations:
1) 100%=85000
2) x%=10000.08
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:
100%/x%=85000/10000.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10000.08 is what percent of 85000

100%/x%=85000/10000.08
(100/x)*x=(85000/10000.08)*x       - we multiply both sides of the equation by x
100=8.499932000544*x       - we divide both sides of the equation by (8.499932000544) to get x
100/8.499932000544=x
11.7648=x
x=11.7648

now we have:
10000.08 is 11.7648% of 85000