462.54 is what percent of 576 - 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 576 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 576, so we can write it down as 100%=576.
4. We know, that x% equals 462.54 of the output value, so we can write it down as x%=462.54.
5. Now we have two simple equations:
1) 100%=576
2) x%=462.54
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%=576/462.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 462.54 is what percent of 576

100%/x%=576/462.54
(100/x)*x=(576/462.54)*x       - we multiply both sides of the equation by x
100=1.2452977039824*x       - we divide both sides of the equation by (1.2452977039824) to get x
100/1.2452977039824=x
80.302083333333=x
x=80.302083333333

now we have:
462.54 is 80.302083333333% of 576