260.6 is what percent of 285 - 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 285 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 285, so we can write it down as 100%=285.
4. We know, that x% equals 260.6 of the output value, so we can write it down as x%=260.6.
5. Now we have two simple equations:
1) 100%=285
2) x%=260.6
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%=285/260.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 260.6 is what percent of 285

100%/x%=285/260.6
(100/x)*x=(285/260.6)*x       - we multiply both sides of the equation by x
100=1.0936300844206*x       - we divide both sides of the equation by (1.0936300844206) to get x
100/1.0936300844206=x
91.438596491228=x
x=91.438596491228

now we have:
260.6 is 91.438596491228% of 285