9708.59 is what percent of 9879.5 - 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 9879.5 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 100% equals 9879.5, so we can write it down as 100%=9879.5.
4. We know, that x% equals 9708.59 of the output value, so we can write it down as x%=9708.59.
5. Now we have two simple equations:
1) 100%=9879.5
2) x%=9708.59
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%=9879.5/9708.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9708.59 is what percent of 9879.5

100%/x%=9879.5/9708.59
(100/x)*x=(9879.5/9708.59)*x       - we multiply both sides of the equation by x
100=1.0176039981089*x       - we divide both sides of the equation by (1.0176039981089) to get x
100/1.0176039981089=x
98.270054152538=x
x=98.270054152538

now we have:
9708.59 is 98.270054152538% of 9879.5