255.56 is what percent of 855.555 - 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 855.555 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 855.555, so we can write it down as 100%=855.555.
4. We know, that x% equals 255.56 of the output value, so we can write it down as x%=255.56.
5. Now we have two simple equations:
1) 100%=855.555
2) x%=255.56
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%=855.555/255.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.56 is what percent of 855.555

100%/x%=855.555/255.56
(100/x)*x=(855.555/255.56)*x       - we multiply both sides of the equation by x
100=3.3477656910315*x       - we divide both sides of the equation by (3.3477656910315) to get x
100/3.3477656910315=x
29.870668747188=x
x=29.870668747188

now we have:
255.56 is 29.870668747188% of 855.555