9.16 is what percent of 39.99 - 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 39.99 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 39.99, so we can write it down as 100%=39.99.
4. We know, that x% equals 9.16 of the output value, so we can write it down as x%=9.16.
5. Now we have two simple equations:
1) 100%=39.99
2) x%=9.16
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%=39.99/9.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.16 is what percent of 39.99

100%/x%=39.99/9.16
(100/x)*x=(39.99/9.16)*x       - we multiply both sides of the equation by x
100=4.3657205240175*x       - we divide both sides of the equation by (4.3657205240175) to get x
100/4.3657205240175=x
22.905726431608=x
x=22.905726431608

now we have:
9.16 is 22.905726431608% of 39.99