9 is what percent of 39915 - 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 39915 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 39915, so we can write it down as 100%=39915.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=39915
2) x%=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%=39915/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 39915

100%/x%=39915/9
(100/x)*x=(39915/9)*x       - we multiply both sides of the equation by x
100=4435*x       - we divide both sides of the equation by (4435) to get x
100/4435=x
0.022547914317926=x
x=0.022547914317926

now we have:
9 is 0.022547914317926% of 39915