440.77 is what percent of 8415 - 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 8415 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 8415, so we can write it down as 100%=8415.
4. We know, that x% equals 440.77 of the output value, so we can write it down as x%=440.77.
5. Now we have two simple equations:
1) 100%=8415
2) x%=440.77
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%=8415/440.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 440.77 is what percent of 8415

100%/x%=8415/440.77
(100/x)*x=(8415/440.77)*x       - we multiply both sides of the equation by x
100=19.091589717994*x       - we divide both sides of the equation by (19.091589717994) to get x
100/19.091589717994=x
5.237908496732=x
x=5.237908496732

now we have:
440.77 is 5.237908496732% of 8415