126.37 is what percent of 128.63 - 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 128.63 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 128.63, so we can write it down as 100%=128.63.
4. We know, that x% equals 126.37 of the output value, so we can write it down as x%=126.37.
5. Now we have two simple equations:
1) 100%=128.63
2) x%=126.37
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%=128.63/126.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.37 is what percent of 128.63

100%/x%=128.63/126.37
(100/x)*x=(128.63/126.37)*x       - we multiply both sides of the equation by x
100=1.0178839914537*x       - we divide both sides of the equation by (1.0178839914537) to get x
100/1.0178839914537=x
98.243022623027=x
x=98.243022623027

now we have:
126.37 is 98.243022623027% of 128.63