41 is what percent of 407 - 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 407 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 407, so we can write it down as 100%=407.
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%=407
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%=407/41
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 407

100%/x%=407/41
(100/x)*x=(407/41)*x       - we multiply both sides of the equation by x
100=9.9268292682927*x       - we divide both sides of the equation by (9.9268292682927) to get x
100/9.9268292682927=x
10.07371007371=x
x=10.07371007371

now we have:
41 is 10.07371007371% of 407