467.5 is what percent of 580 - 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 580 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 580, so we can write it down as 100%=580.
4. We know, that x% equals 467.5 of the output value, so we can write it down as x%=467.5.
5. Now we have two simple equations:
1) 100%=580
2) x%=467.5
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%=580/467.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 467.5 is what percent of 580

100%/x%=580/467.5
(100/x)*x=(580/467.5)*x       - we multiply both sides of the equation by x
100=1.2406417112299*x       - we divide both sides of the equation by (1.2406417112299) to get x
100/1.2406417112299=x
80.603448275862=x
x=80.603448275862

now we have:
467.5 is 80.603448275862% of 580