216.5 is what percent of 504 - 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 504 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 504, so we can write it down as 100%=504.
4. We know, that x% equals 216.5 of the output value, so we can write it down as x%=216.5.
5. Now we have two simple equations:
1) 100%=504
2) x%=216.5
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%=504/216.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 216.5 is what percent of 504

100%/x%=504/216.5
(100/x)*x=(504/216.5)*x       - we multiply both sides of the equation by x
100=2.3279445727483*x       - we divide both sides of the equation by (2.3279445727483) to get x
100/2.3279445727483=x
42.956349206349=x
x=42.956349206349

now we have:
216.5 is 42.956349206349% of 504