9.9 is what percent of 40.6 - 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 40.6 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 40.6, so we can write it down as 100%=40.6.
4. We know, that x% equals 9.9 of the output value, so we can write it down as x%=9.9.
5. Now we have two simple equations:
1) 100%=40.6
2) x%=9.9
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%=40.6/9.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.9 is what percent of 40.6

100%/x%=40.6/9.9
(100/x)*x=(40.6/9.9)*x       - we multiply both sides of the equation by x
100=4.1010101010101*x       - we divide both sides of the equation by (4.1010101010101) to get x
100/4.1010101010101=x
24.384236453202=x
x=24.384236453202

now we have:
9.9 is 24.384236453202% of 40.6