260.25 is what percent of 1311.5 - 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 1311.5 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 1311.5, so we can write it down as 100%=1311.5.
4. We know, that x% equals 260.25 of the output value, so we can write it down as x%=260.25.
5. Now we have two simple equations:
1) 100%=1311.5
2) x%=260.25
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%=1311.5/260.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.25 is what percent of 1311.5

100%/x%=1311.5/260.25
(100/x)*x=(1311.5/260.25)*x       - we multiply both sides of the equation by x
100=5.0393852065322*x       - we divide both sides of the equation by (5.0393852065322) to get x
100/5.0393852065322=x
19.843690430804=x
x=19.843690430804

now we have:
260.25 is 19.843690430804% of 1311.5