8580.28 is what percent of 10677.72 - 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 10677.72 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 10677.72, so we can write it down as 100%=10677.72.
4. We know, that x% equals 8580.28 of the output value, so we can write it down as x%=8580.28.
5. Now we have two simple equations:
1) 100%=10677.72
2) x%=8580.28
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%=10677.72/8580.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8580.28 is what percent of 10677.72

100%/x%=10677.72/8580.28
(100/x)*x=(10677.72/8580.28)*x       - we multiply both sides of the equation by x
100=1.2444488991035*x       - we divide both sides of the equation by (1.2444488991035) to get x
100/1.2444488991035=x
80.35685520879=x
x=80.35685520879

now we have:
8580.28 is 80.35685520879% of 10677.72