414.9 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 414.9 of the output value, so we can write it down as x%=414.9.
5. Now we have two simple equations:
1) 100%=504
2) x%=414.9
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%=504/414.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 414.9 is what percent of 504

100%/x%=504/414.9
(100/x)*x=(504/414.9)*x       - we multiply both sides of the equation by x
100=1.2147505422993*x       - we divide both sides of the equation by (1.2147505422993) to get x
100/1.2147505422993=x
82.321428571429=x
x=82.321428571429

now we have:
414.9 is 82.321428571429% of 504