126.9 is what percent of 272 - 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 272 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 272, so we can write it down as 100%=272.
4. We know, that x% equals 126.9 of the output value, so we can write it down as x%=126.9.
5. Now we have two simple equations:
1) 100%=272
2) x%=126.9
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%=272/126.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.9 is what percent of 272

100%/x%=272/126.9
(100/x)*x=(272/126.9)*x       - we multiply both sides of the equation by x
100=2.1434200157604*x       - we divide both sides of the equation by (2.1434200157604) to get x
100/2.1434200157604=x
46.654411764706=x
x=46.654411764706

now we have:
126.9 is 46.654411764706% of 272