584.5 is what percent of 7760 - 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 7760 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 7760, so we can write it down as 100%=7760.
4. We know, that x% equals 584.5 of the output value, so we can write it down as x%=584.5.
5. Now we have two simple equations:
1) 100%=7760
2) x%=584.5
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%=7760/584.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 584.5 is what percent of 7760

100%/x%=7760/584.5
(100/x)*x=(7760/584.5)*x       - we multiply both sides of the equation by x
100=13.27630453379*x       - we divide both sides of the equation by (13.27630453379) to get x
100/13.27630453379=x
7.5322164948454=x
x=7.5322164948454

now we have:
584.5 is 7.5322164948454% of 7760