262.5 is what percent of 568.62 - 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 568.62 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 568.62, so we can write it down as 100%=568.62.
4. We know, that x% equals 262.5 of the output value, so we can write it down as x%=262.5.
5. Now we have two simple equations:
1) 100%=568.62
2) x%=262.5
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%=568.62/262.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.5 is what percent of 568.62

100%/x%=568.62/262.5
(100/x)*x=(568.62/262.5)*x       - we multiply both sides of the equation by x
100=2.1661714285714*x       - we divide both sides of the equation by (2.1661714285714) to get x
100/2.1661714285714=x
46.16439801625=x
x=46.16439801625

now we have:
262.5 is 46.16439801625% of 568.62