115.25 is what percent of 265 - 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 265 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 265, so we can write it down as 100%=265.
4. We know, that x% equals 115.25 of the output value, so we can write it down as x%=115.25.
5. Now we have two simple equations:
1) 100%=265
2) x%=115.25
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%=265/115.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.25 is what percent of 265

100%/x%=265/115.25
(100/x)*x=(265/115.25)*x       - we multiply both sides of the equation by x
100=2.2993492407809*x       - we divide both sides of the equation by (2.2993492407809) to get x
100/2.2993492407809=x
43.490566037736=x
x=43.490566037736

now we have:
115.25 is 43.490566037736% of 265