123.67 is what percent of 9600 - 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 9600 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 9600, so we can write it down as 100%=9600.
4. We know, that x% equals 123.67 of the output value, so we can write it down as x%=123.67.
5. Now we have two simple equations:
1) 100%=9600
2) x%=123.67
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%=9600/123.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 123.67 is what percent of 9600

100%/x%=9600/123.67
(100/x)*x=(9600/123.67)*x       - we multiply both sides of the equation by x
100=77.625940001617*x       - we divide both sides of the equation by (77.625940001617) to get x
100/77.625940001617=x
1.2882291666667=x
x=1.2882291666667

now we have:
123.67 is 1.2882291666667% of 9600