9959.5 is what percent of 76505 - 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 76505 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 76505, so we can write it down as 100%=76505.
4. We know, that x% equals 9959.5 of the output value, so we can write it down as x%=9959.5.
5. Now we have two simple equations:
1) 100%=76505
2) x%=9959.5
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%=76505/9959.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9959.5 is what percent of 76505

100%/x%=76505/9959.5
(100/x)*x=(76505/9959.5)*x       - we multiply both sides of the equation by x
100=7.6816105226166*x       - we divide both sides of the equation by (7.6816105226166) to get x
100/7.6816105226166=x
13.018103391935=x
x=13.018103391935

now we have:
9959.5 is 13.018103391935% of 76505