417.76 is what percent of 466.25 - 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 466.25 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 466.25, so we can write it down as 100%=466.25.
4. We know, that x% equals 417.76 of the output value, so we can write it down as x%=417.76.
5. Now we have two simple equations:
1) 100%=466.25
2) x%=417.76
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%=466.25/417.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 417.76 is what percent of 466.25

100%/x%=466.25/417.76
(100/x)*x=(466.25/417.76)*x       - we multiply both sides of the equation by x
100=1.1160714285714*x       - we divide both sides of the equation by (1.1160714285714) to get x
100/1.1160714285714=x
89.6=x
x=89.6

now we have:
417.76 is 89.6% of 466.25