40.4 is what percent of 23365.5 - 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 23365.5 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 23365.5, so we can write it down as 100%=23365.5.
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%=23365.5
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%=23365.5/40.4
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 23365.5

100%/x%=23365.5/40.4
(100/x)*x=(23365.5/40.4)*x       - we multiply both sides of the equation by x
100=578.35396039604*x       - we divide both sides of the equation by (578.35396039604) to get x
100/578.35396039604=x
0.17290449594488=x
x=0.17290449594488

now we have:
40.4 is 0.17290449594488% of 23365.5