416.5 is what percent of 478 - 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 478 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 478, so we can write it down as 100%=478.
4. We know, that x% equals 416.5 of the output value, so we can write it down as x%=416.5.
5. Now we have two simple equations:
1) 100%=478
2) x%=416.5
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%=478/416.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 416.5 is what percent of 478

100%/x%=478/416.5
(100/x)*x=(478/416.5)*x       - we multiply both sides of the equation by x
100=1.1476590636255*x       - we divide both sides of the equation by (1.1476590636255) to get x
100/1.1476590636255=x
87.133891213389=x
x=87.133891213389

now we have:
416.5 is 87.133891213389% of 478