24.08 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 24.08 of the output value, so we can write it down as x%=24.08.
5. Now we have two simple equations:
1) 100%=12
2) x%=24.08
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%=12/24.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.08 is what percent of 12

100%/x%=12/24.08
(100/x)*x=(12/24.08)*x       - we multiply both sides of the equation by x
100=0.49833887043189*x       - we divide both sides of the equation by (0.49833887043189) to get x
100/0.49833887043189=x
200.66666666667=x
x=200.66666666667

now we have:
24.08 is 200.66666666667% of 12