258.2 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 258.2 of the output value, so we can write it down as x%=258.2.
5. Now we have two simple equations:
1) 100%=576
2) x%=258.2
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%=576/258.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 258.2 is what percent of 576

100%/x%=576/258.2
(100/x)*x=(576/258.2)*x       - we multiply both sides of the equation by x
100=2.2308288148722*x       - we divide both sides of the equation by (2.2308288148722) to get x
100/2.2308288148722=x
44.826388888889=x
x=44.826388888889

now we have:
258.2 is 44.826388888889% of 576