41 is what percent of 559 - 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 559 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 559, so we can write it down as 100%=559.
4. We know, that x% equals 41 of the output value, so we can write it down as x%=41.
5. Now we have two simple equations:
1) 100%=559
2) x%=41
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%=559/41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41 is what percent of 559

100%/x%=559/41
(100/x)*x=(559/41)*x       - we multiply both sides of the equation by x
100=13.634146341463*x       - we divide both sides of the equation by (13.634146341463) to get x
100/13.634146341463=x
7.3345259391771=x
x=7.3345259391771

now we have:
41 is 7.3345259391771% of 559