96.7 is what percent of 255 - 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 255 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 255, so we can write it down as 100%=255.
4. We know, that x% equals 96.7 of the output value, so we can write it down as x%=96.7.
5. Now we have two simple equations:
1) 100%=255
2) x%=96.7
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%=255/96.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 96.7 is what percent of 255

100%/x%=255/96.7
(100/x)*x=(255/96.7)*x       - we multiply both sides of the equation by x
100=2.6370217166494*x       - we divide both sides of the equation by (2.6370217166494) to get x
100/2.6370217166494=x
37.921568627451=x
x=37.921568627451

now we have:
96.7 is 37.921568627451% of 255