495.67 is what percent of 255.5 - 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 255.5 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 255.5, so we can write it down as 100%=255.5.
4. We know, that x% equals 495.67 of the output value, so we can write it down as x%=495.67.
5. Now we have two simple equations:
1) 100%=255.5
2) x%=495.67
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%=255.5/495.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 495.67 is what percent of 255.5

100%/x%=255.5/495.67
(100/x)*x=(255.5/495.67)*x       - we multiply both sides of the equation by x
100=0.51546391752577*x       - we divide both sides of the equation by (0.51546391752577) to get x
100/0.51546391752577=x
194=x
x=194

now we have:
495.67 is 194% of 255.5