24.24 is what percent of 318.8 - 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 318.8 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 318.8, so we can write it down as 100%=318.8.
4. We know, that x% equals 24.24 of the output value, so we can write it down as x%=24.24.
5. Now we have two simple equations:
1) 100%=318.8
2) x%=24.24
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%=318.8/24.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.24 is what percent of 318.8

100%/x%=318.8/24.24
(100/x)*x=(318.8/24.24)*x       - we multiply both sides of the equation by x
100=13.151815181518*x       - we divide both sides of the equation by (13.151815181518) to get x
100/13.151815181518=x
7.603513174404=x
x=7.603513174404

now we have:
24.24 is 7.603513174404% of 318.8