9.75 is what percent of 40 - 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 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, so we can write it down as 100%=40.
4. We know, that x% equals 9.75 of the output value, so we can write it down as x%=9.75.
5. Now we have two simple equations:
1) 100%=40
2) x%=9.75
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%=40/9.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.75 is what percent of 40

100%/x%=40/9.75
(100/x)*x=(40/9.75)*x       - we multiply both sides of the equation by x
100=4.1025641025641*x       - we divide both sides of the equation by (4.1025641025641) to get x
100/4.1025641025641=x
24.375=x
x=24.375

now we have:
9.75 is 24.375% of 40