126.58 is what percent of 297 - 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 297 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 297, so we can write it down as 100%=297.
4. We know, that x% equals 126.58 of the output value, so we can write it down as x%=126.58.
5. Now we have two simple equations:
1) 100%=297
2) x%=126.58
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%=297/126.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.58 is what percent of 297

100%/x%=297/126.58
(100/x)*x=(297/126.58)*x       - we multiply both sides of the equation by x
100=2.3463422341602*x       - we divide both sides of the equation by (2.3463422341602) to get x
100/2.3463422341602=x
42.619528619529=x
x=42.619528619529

now we have:
126.58 is 42.619528619529% of 297