12924.66 is what percent of 12309.2 - 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 12309.2 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 12309.2, so we can write it down as 100%=12309.2.
4. We know, that x% equals 12924.66 of the output value, so we can write it down as x%=12924.66.
5. Now we have two simple equations:
1) 100%=12309.2
2) x%=12924.66
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%=12309.2/12924.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12924.66 is what percent of 12309.2

100%/x%=12309.2/12924.66
(100/x)*x=(12309.2/12924.66)*x       - we multiply both sides of the equation by x
100=0.95238095238095*x       - we divide both sides of the equation by (0.95238095238095) to get x
100/0.95238095238095=x
105=x
x=105

now we have:
12924.66 is 105% of 12309.2