41.35 is what percent of 416.5 - 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 416.5 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 416.5, so we can write it down as 100%=416.5.
4. We know, that x% equals 41.35 of the output value, so we can write it down as x%=41.35.
5. Now we have two simple equations:
1) 100%=416.5
2) x%=41.35
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%=416.5/41.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.35 is what percent of 416.5

100%/x%=416.5/41.35
(100/x)*x=(416.5/41.35)*x       - we multiply both sides of the equation by x
100=10.072551390568*x       - we divide both sides of the equation by (10.072551390568) to get x
100/10.072551390568=x
9.9279711884754=x
x=9.9279711884754

now we have:
41.35 is 9.9279711884754% of 416.5