40.94 is what percent of 122.8 - 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 122.8 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 122.8, so we can write it down as 100%=122.8.
4. We know, that x% equals 40.94 of the output value, so we can write it down as x%=40.94.
5. Now we have two simple equations:
1) 100%=122.8
2) x%=40.94
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%=122.8/40.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.94 is what percent of 122.8

100%/x%=122.8/40.94
(100/x)*x=(122.8/40.94)*x       - we multiply both sides of the equation by x
100=2.9995114802149*x       - we divide both sides of the equation by (2.9995114802149) to get x
100/2.9995114802149=x
33.338762214984=x
x=33.338762214984

now we have:
40.94 is 33.338762214984% of 122.8