260.86 is what percent of 350 - 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 350 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 350, so we can write it down as 100%=350.
4. We know, that x% equals 260.86 of the output value, so we can write it down as x%=260.86.
5. Now we have two simple equations:
1) 100%=350
2) x%=260.86
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%=350/260.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.86 is what percent of 350

100%/x%=350/260.86
(100/x)*x=(350/260.86)*x       - we multiply both sides of the equation by x
100=1.341715862915*x       - we divide both sides of the equation by (1.341715862915) to get x
100/1.341715862915=x
74.531428571429=x
x=74.531428571429

now we have:
260.86 is 74.531428571429% of 350