9579.8 is what percent of 12398.8 - 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 12398.8 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 12398.8, so we can write it down as 100%=12398.8.
4. We know, that x% equals 9579.8 of the output value, so we can write it down as x%=9579.8.
5. Now we have two simple equations:
1) 100%=12398.8
2) x%=9579.8
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%=12398.8/9579.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9579.8 is what percent of 12398.8

100%/x%=12398.8/9579.8
(100/x)*x=(12398.8/9579.8)*x       - we multiply both sides of the equation by x
100=1.2942650159711*x       - we divide both sides of the equation by (1.2942650159711) to get x
100/1.2942650159711=x
77.2639287673=x
x=77.2639287673

now we have:
9579.8 is 77.2639287673% of 12398.8