40.4 is what percent of 55.9 - 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 55.9 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 55.9, so we can write it down as 100%=55.9.
4. We know, that x% equals 40.4 of the output value, so we can write it down as x%=40.4.
5. Now we have two simple equations:
1) 100%=55.9
2) x%=40.4
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%=55.9/40.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.4 is what percent of 55.9

100%/x%=55.9/40.4
(100/x)*x=(55.9/40.4)*x       - we multiply both sides of the equation by x
100=1.3836633663366*x       - we divide both sides of the equation by (1.3836633663366) to get x
100/1.3836633663366=x
72.271914132379=x
x=72.271914132379

now we have:
40.4 is 72.271914132379% of 55.9