511.52 is what percent of 604.52 - 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 604.52 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 604.52, so we can write it down as 100%=604.52.
4. We know, that x% equals 511.52 of the output value, so we can write it down as x%=511.52.
5. Now we have two simple equations:
1) 100%=604.52
2) x%=511.52
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%=604.52/511.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 511.52 is what percent of 604.52

100%/x%=604.52/511.52
(100/x)*x=(604.52/511.52)*x       - we multiply both sides of the equation by x
100=1.1818110728808*x       - we divide both sides of the equation by (1.1818110728808) to get x
100/1.1818110728808=x
84.615893601535=x
x=84.615893601535

now we have:
511.52 is 84.615893601535% of 604.52