391.94 is what percent of 5280.16 - 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 5280.16 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 5280.16, so we can write it down as 100%=5280.16.
4. We know, that x% equals 391.94 of the output value, so we can write it down as x%=391.94.
5. Now we have two simple equations:
1) 100%=5280.16
2) x%=391.94
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%=5280.16/391.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 391.94 is what percent of 5280.16

100%/x%=5280.16/391.94
(100/x)*x=(5280.16/391.94)*x       - we multiply both sides of the equation by x
100=13.471857937439*x       - we divide both sides of the equation by (13.471857937439) to get x
100/13.471857937439=x
7.4228811248144=x
x=7.4228811248144

now we have:
391.94 is 7.4228811248144% of 5280.16