8985.35 is what percent of 1310.35 - 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 1310.35 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 1310.35, so we can write it down as 100%=1310.35.
4. We know, that x% equals 8985.35 of the output value, so we can write it down as x%=8985.35.
5. Now we have two simple equations:
1) 100%=1310.35
2) x%=8985.35
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%=1310.35/8985.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8985.35 is what percent of 1310.35

100%/x%=1310.35/8985.35
(100/x)*x=(1310.35/8985.35)*x       - we multiply both sides of the equation by x
100=0.14583182625051*x       - we divide both sides of the equation by (0.14583182625051) to get x
100/0.14583182625051=x
685.72137215248=x
x=685.72137215248

now we have:
8985.35 is 685.72137215248% of 1310.35