52.08 is what percent of 400.64 - 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 400.64 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 400.64, so we can write it down as 100%=400.64.
4. We know, that x% equals 52.08 of the output value, so we can write it down as x%=52.08.
5. Now we have two simple equations:
1) 100%=400.64
2) x%=52.08
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%=400.64/52.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.08 is what percent of 400.64

100%/x%=400.64/52.08
(100/x)*x=(400.64/52.08)*x       - we multiply both sides of the equation by x
100=7.6927803379416*x       - we divide both sides of the equation by (7.6927803379416) to get x
100/7.6927803379416=x
12.999201277955=x
x=12.999201277955

now we have:
52.08 is 12.999201277955% of 400.64