416.97 is what percent of 9900 - 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 9900 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 9900, so we can write it down as 100%=9900.
4. We know, that x% equals 416.97 of the output value, so we can write it down as x%=416.97.
5. Now we have two simple equations:
1) 100%=9900
2) x%=416.97
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%=9900/416.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 416.97 is what percent of 9900

100%/x%=9900/416.97
(100/x)*x=(9900/416.97)*x       - we multiply both sides of the equation by x
100=23.742715303259*x       - we divide both sides of the equation by (23.742715303259) to get x
100/23.742715303259=x
4.2118181818182=x
x=4.2118181818182

now we have:
416.97 is 4.2118181818182% of 9900