9.05 is what percent of 40.95 - 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 40.95 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 40.95, so we can write it down as 100%=40.95.
4. We know, that x% equals 9.05 of the output value, so we can write it down as x%=9.05.
5. Now we have two simple equations:
1) 100%=40.95
2) x%=9.05
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%=40.95/9.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.05 is what percent of 40.95

100%/x%=40.95/9.05
(100/x)*x=(40.95/9.05)*x       - we multiply both sides of the equation by x
100=4.524861878453*x       - we divide both sides of the equation by (4.524861878453) to get x
100/4.524861878453=x
22.100122100122=x
x=22.100122100122

now we have:
9.05 is 22.100122100122% of 40.95