40.14 is what percent of 42.39 - 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 42.39 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 42.39, so we can write it down as 100%=42.39.
4. We know, that x% equals 40.14 of the output value, so we can write it down as x%=40.14.
5. Now we have two simple equations:
1) 100%=42.39
2) x%=40.14
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%=42.39/40.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.14 is what percent of 42.39

100%/x%=42.39/40.14
(100/x)*x=(42.39/40.14)*x       - we multiply both sides of the equation by x
100=1.0560538116592*x       - we divide both sides of the equation by (1.0560538116592) to get x
100/1.0560538116592=x
94.692144373673=x
x=94.692144373673

now we have:
40.14 is 94.692144373673% of 42.39