259.28 is what percent of 578.75 - 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 578.75 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 578.75, so we can write it down as 100%=578.75.
4. We know, that x% equals 259.28 of the output value, so we can write it down as x%=259.28.
5. Now we have two simple equations:
1) 100%=578.75
2) x%=259.28
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%=578.75/259.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.28 is what percent of 578.75

100%/x%=578.75/259.28
(100/x)*x=(578.75/259.28)*x       - we multiply both sides of the equation by x
100=2.2321428571429*x       - we divide both sides of the equation by (2.2321428571429) to get x
100/2.2321428571429=x
44.8=x
x=44.8

now we have:
259.28 is 44.8% of 578.75