259.33 is what percent of 240 - 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 240 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 240, so we can write it down as 100%=240.
4. We know, that x% equals 259.33 of the output value, so we can write it down as x%=259.33.
5. Now we have two simple equations:
1) 100%=240
2) x%=259.33
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%=240/259.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.33 is what percent of 240

100%/x%=240/259.33
(100/x)*x=(240/259.33)*x       - we multiply both sides of the equation by x
100=0.92546176686076*x       - we divide both sides of the equation by (0.92546176686076) to get x
100/0.92546176686076=x
108.05416666667=x
x=108.05416666667

now we have:
259.33 is 108.05416666667% of 240