9408.76 is what percent of 76.392 - 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 76.392 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 76.392, so we can write it down as 100%=76.392.
4. We know, that x% equals 9408.76 of the output value, so we can write it down as x%=9408.76.
5. Now we have two simple equations:
1) 100%=76.392
2) x%=9408.76
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%=76.392/9408.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9408.76 is what percent of 76.392

100%/x%=76.392/9408.76
(100/x)*x=(76.392/9408.76)*x       - we multiply both sides of the equation by x
100=0.0081192420680302*x       - we divide both sides of the equation by (0.0081192420680302) to get x
100/0.0081192420680302=x
12316.420567599=x
x=12316.420567599

now we have:
9408.76 is 12316.420567599% of 76.392