2927.78 is what percent of 12 - 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 12 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 12, so we can write it down as 100%=12.
4. We know, that x% equals 2927.78 of the output value, so we can write it down as x%=2927.78.
5. Now we have two simple equations:
1) 100%=12
2) x%=2927.78
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%=12/2927.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2927.78 is what percent of 12

100%/x%=12/2927.78
(100/x)*x=(12/2927.78)*x       - we multiply both sides of the equation by x
100=0.0040986686158113*x       - we divide both sides of the equation by (0.0040986686158113) to get x
100/0.0040986686158113=x
24398.166666667=x
x=24398.166666667

now we have:
2927.78 is 24398.166666667% of 12