183.36 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 183.36 of the output value, so we can write it down as x%=183.36.
5. Now we have two simple equations:
1) 100%=255
2) x%=183.36
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%=255/183.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 183.36 is what percent of 255

100%/x%=255/183.36
(100/x)*x=(255/183.36)*x       - we multiply both sides of the equation by x
100=1.3907068062827*x       - we divide both sides of the equation by (1.3907068062827) to get x
100/1.3907068062827=x
71.905882352941=x
x=71.905882352941

now we have:
183.36 is 71.905882352941% of 255