4.01 is what percent of 9.35 - 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 9.35 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 9.35, so we can write it down as 100%=9.35.
4. We know, that x% equals 4.01 of the output value, so we can write it down as x%=4.01.
5. Now we have two simple equations:
1) 100%=9.35
2) x%=4.01
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%=9.35/4.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.01 is what percent of 9.35

100%/x%=9.35/4.01
(100/x)*x=(9.35/4.01)*x       - we multiply both sides of the equation by x
100=2.3316708229426*x       - we divide both sides of the equation by (2.3316708229426) to get x
100/2.3316708229426=x
42.887700534759=x
x=42.887700534759

now we have:
4.01 is 42.887700534759% of 9.35