86.2 is what percent of 8000 - 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 8000 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 8000, so we can write it down as 100%=8000.
4. We know, that x% equals 86.2 of the output value, so we can write it down as x%=86.2.
5. Now we have two simple equations:
1) 100%=8000
2) x%=86.2
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:
100%/x%=8000/86.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.2 is what percent of 8000

100%/x%=8000/86.2
(100/x)*x=(8000/86.2)*x       - we multiply both sides of the equation by x
100=92.807424593968*x       - we divide both sides of the equation by (92.807424593968) to get x
100/92.807424593968=x
1.0775=x
x=1.0775

now we have:
86.2 is 1.0775% of 8000