420.63 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 420.63 of the output value, so we can write it down as x%=420.63.
5. Now we have two simple equations:
1) 100%=504
2) x%=420.63
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%=504/420.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 420.63 is what percent of 504

100%/x%=504/420.63
(100/x)*x=(504/420.63)*x       - we multiply both sides of the equation by x
100=1.1982026959561*x       - we divide both sides of the equation by (1.1982026959561) to get x
100/1.1982026959561=x
83.458333333333=x
x=83.458333333333

now we have:
420.63 is 83.458333333333% of 504