604.23 is what percent of 1483.95 - 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 1483.95 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 1483.95, so we can write it down as 100%=1483.95.
4. We know, that x% equals 604.23 of the output value, so we can write it down as x%=604.23.
5. Now we have two simple equations:
1) 100%=1483.95
2) x%=604.23
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%=1483.95/604.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 604.23 is what percent of 1483.95

100%/x%=1483.95/604.23
(100/x)*x=(1483.95/604.23)*x       - we multiply both sides of the equation by x
100=2.4559356536418*x       - we divide both sides of the equation by (2.4559356536418) to get x
100/2.4559356536418=x
40.717679167088=x
x=40.717679167088

now we have:
604.23 is 40.717679167088% of 1483.95