260.5 is what percent of 337.5 - 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 337.5 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 337.5, so we can write it down as 100%=337.5.
4. We know, that x% equals 260.5 of the output value, so we can write it down as x%=260.5.
5. Now we have two simple equations:
1) 100%=337.5
2) x%=260.5
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%=337.5/260.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.5 is what percent of 337.5

100%/x%=337.5/260.5
(100/x)*x=(337.5/260.5)*x       - we multiply both sides of the equation by x
100=1.2955854126679*x       - we divide both sides of the equation by (1.2955854126679) to get x
100/1.2955854126679=x
77.185185185185=x
x=77.185185185185

now we have:
260.5 is 77.185185185185% of 337.5