9.99 is what percent of 40.01 - 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 40.01 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 40.01, so we can write it down as 100%=40.01.
4. We know, that x% equals 9.99 of the output value, so we can write it down as x%=9.99.
5. Now we have two simple equations:
1) 100%=40.01
2) x%=9.99
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%=40.01/9.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.99 is what percent of 40.01

100%/x%=40.01/9.99
(100/x)*x=(40.01/9.99)*x       - we multiply both sides of the equation by x
100=4.005005005005*x       - we divide both sides of the equation by (4.005005005005) to get x
100/4.005005005005=x
24.968757810547=x
x=24.968757810547

now we have:
9.99 is 24.968757810547% of 40.01