126.45 is what percent of 239.54 - 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 239.54 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 239.54, so we can write it down as 100%=239.54.
4. We know, that x% equals 126.45 of the output value, so we can write it down as x%=126.45.
5. Now we have two simple equations:
1) 100%=239.54
2) x%=126.45
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%=239.54/126.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.45 is what percent of 239.54

100%/x%=239.54/126.45
(100/x)*x=(239.54/126.45)*x       - we multiply both sides of the equation by x
100=1.8943455911427*x       - we divide both sides of the equation by (1.8943455911427) to get x
100/1.8943455911427=x
52.788678300075=x
x=52.788678300075

now we have:
126.45 is 52.788678300075% of 239.54