12.23 is what percent of 255.72 - 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 255.72 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 255.72, so we can write it down as 100%=255.72.
4. We know, that x% equals 12.23 of the output value, so we can write it down as x%=12.23.
5. Now we have two simple equations:
1) 100%=255.72
2) x%=12.23
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%=255.72/12.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.23 is what percent of 255.72

100%/x%=255.72/12.23
(100/x)*x=(255.72/12.23)*x       - we multiply both sides of the equation by x
100=20.909239574816*x       - we divide both sides of the equation by (20.909239574816) to get x
100/20.909239574816=x
4.7825746910684=x
x=4.7825746910684

now we have:
12.23 is 4.7825746910684% of 255.72