126.5 is what percent of 228 - 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 228 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 228, so we can write it down as 100%=228.
4. We know, that x% equals 126.5 of the output value, so we can write it down as x%=126.5.
5. Now we have two simple equations:
1) 100%=228
2) x%=126.5
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%=228/126.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.5 is what percent of 228

100%/x%=228/126.5
(100/x)*x=(228/126.5)*x       - we multiply both sides of the equation by x
100=1.802371541502*x       - we divide both sides of the equation by (1.802371541502) to get x
100/1.802371541502=x
55.482456140351=x
x=55.482456140351

now we have:
126.5 is 55.482456140351% of 228