40.1 is what percent of 96 - 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 96 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 96, so we can write it down as 100%=96.
4. We know, that x% equals 40.1 of the output value, so we can write it down as x%=40.1.
5. Now we have two simple equations:
1) 100%=96
2) x%=40.1
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%=96/40.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.1 is what percent of 96

100%/x%=96/40.1
(100/x)*x=(96/40.1)*x       - we multiply both sides of the equation by x
100=2.3940149625935*x       - we divide both sides of the equation by (2.3940149625935) to get x
100/2.3940149625935=x
41.770833333333=x
x=41.770833333333

now we have:
40.1 is 41.770833333333% of 96