415.46 is what percent of 466 - 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 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, so we can write it down as 100%=466.
4. We know, that x% equals 415.46 of the output value, so we can write it down as x%=415.46.
5. Now we have two simple equations:
1) 100%=466
2) x%=415.46
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%=466/415.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 415.46 is what percent of 466

100%/x%=466/415.46
(100/x)*x=(466/415.46)*x       - we multiply both sides of the equation by x
100=1.1216482934579*x       - we divide both sides of the equation by (1.1216482934579) to get x
100/1.1216482934579=x
89.154506437768=x
x=89.154506437768

now we have:
415.46 is 89.154506437768% of 466