41 is what percent of 409 - 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 409 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 409, so we can write it down as 100%=409.
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%=409
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%=409/41
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 409

100%/x%=409/41
(100/x)*x=(409/41)*x       - we multiply both sides of the equation by x
100=9.9756097560976*x       - we divide both sides of the equation by (9.9756097560976) to get x
100/9.9756097560976=x
10.024449877751=x
x=10.024449877751

now we have:
41 is 10.024449877751% of 409