24 is what percent of 52.08 - 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 52.08 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 52.08, so we can write it down as 100%=52.08.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=52.08
2) x%=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%=52.08/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 52.08

100%/x%=52.08/24
(100/x)*x=(52.08/24)*x       - we multiply both sides of the equation by x
100=2.17*x       - we divide both sides of the equation by (2.17) to get x
100/2.17=x
46.082949308756=x
x=46.082949308756

now we have:
24 is 46.082949308756% of 52.08