40.42 is what percent of 37.28 - 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 37.28 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 37.28, so we can write it down as 100%=37.28.
4. We know, that x% equals 40.42 of the output value, so we can write it down as x%=40.42.
5. Now we have two simple equations:
1) 100%=37.28
2) x%=40.42
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%=37.28/40.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.42 is what percent of 37.28

100%/x%=37.28/40.42
(100/x)*x=(37.28/40.42)*x       - we multiply both sides of the equation by x
100=0.9223156853043*x       - we divide both sides of the equation by (0.9223156853043) to get x
100/0.9223156853043=x
108.42274678112=x
x=108.42274678112

now we have:
40.42 is 108.42274678112% of 37.28