504.48 is what percent of 918.5 - 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 918.5 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 918.5, so we can write it down as 100%=918.5.
4. We know, that x% equals 504.48 of the output value, so we can write it down as x%=504.48.
5. Now we have two simple equations:
1) 100%=918.5
2) x%=504.48
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%=918.5/504.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 504.48 is what percent of 918.5

100%/x%=918.5/504.48
(100/x)*x=(918.5/504.48)*x       - we multiply both sides of the equation by x
100=1.8206866476372*x       - we divide both sides of the equation by (1.8206866476372) to get x
100/1.8206866476372=x
54.924333151878=x
x=54.924333151878

now we have:
504.48 is 54.924333151878% of 918.5