477.5 is what percent of 480 - 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 480 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 480, so we can write it down as 100%=480.
4. We know, that x% equals 477.5 of the output value, so we can write it down as x%=477.5.
5. Now we have two simple equations:
1) 100%=480
2) x%=477.5
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%=480/477.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 477.5 is what percent of 480

100%/x%=480/477.5
(100/x)*x=(480/477.5)*x       - we multiply both sides of the equation by x
100=1.0052356020942*x       - we divide both sides of the equation by (1.0052356020942) to get x
100/1.0052356020942=x
99.479166666667=x
x=99.479166666667

now we have:
477.5 is 99.479166666667% of 480