83937.5 is what percent of 96000 - 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 96000 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 96000, so we can write it down as 100%=96000.
4. We know, that x% equals 83937.5 of the output value, so we can write it down as x%=83937.5.
5. Now we have two simple equations:
1) 100%=96000
2) x%=83937.5
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%=96000/83937.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83937.5 is what percent of 96000

100%/x%=96000/83937.5
(100/x)*x=(96000/83937.5)*x       - we multiply both sides of the equation by x
100=1.1437081161579*x       - we divide both sides of the equation by (1.1437081161579) to get x
100/1.1437081161579=x
87.434895833333=x
x=87.434895833333

now we have:
83937.5 is 87.434895833333% of 96000