9.41 is what percent of 80.33 - 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 80.33 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 80.33, so we can write it down as 100%=80.33.
4. We know, that x% equals 9.41 of the output value, so we can write it down as x%=9.41.
5. Now we have two simple equations:
1) 100%=80.33
2) x%=9.41
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%=80.33/9.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.41 is what percent of 80.33

100%/x%=80.33/9.41
(100/x)*x=(80.33/9.41)*x       - we multiply both sides of the equation by x
100=8.5366631243358*x       - we divide both sides of the equation by (8.5366631243358) to get x
100/8.5366631243358=x
11.714179011577=x
x=11.714179011577

now we have:
9.41 is 11.714179011577% of 80.33