29.5 is what percent of 40.9 - 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 40.9 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 40.9, so we can write it down as 100%=40.9.
4. We know, that x% equals 29.5 of the output value, so we can write it down as x%=29.5.
5. Now we have two simple equations:
1) 100%=40.9
2) x%=29.5
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%=40.9/29.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.5 is what percent of 40.9

100%/x%=40.9/29.5
(100/x)*x=(40.9/29.5)*x       - we multiply both sides of the equation by x
100=1.3864406779661*x       - we divide both sides of the equation by (1.3864406779661) to get x
100/1.3864406779661=x
72.127139364303=x
x=72.127139364303

now we have:
29.5 is 72.127139364303% of 40.9