790.82 is what percent of 8665.55 - 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 8665.55 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 8665.55, so we can write it down as 100%=8665.55.
4. We know, that x% equals 790.82 of the output value, so we can write it down as x%=790.82.
5. Now we have two simple equations:
1) 100%=8665.55
2) x%=790.82
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%=8665.55/790.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 790.82 is what percent of 8665.55

100%/x%=8665.55/790.82
(100/x)*x=(8665.55/790.82)*x       - we multiply both sides of the equation by x
100=10.957676841759*x       - we divide both sides of the equation by (10.957676841759) to get x
100/10.957676841759=x
9.1260220066816=x
x=9.1260220066816

now we have:
790.82 is 9.1260220066816% of 8665.55