126.2 is what percent of 232.2 - 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 232.2 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 232.2, so we can write it down as 100%=232.2.
4. We know, that x% equals 126.2 of the output value, so we can write it down as x%=126.2.
5. Now we have two simple equations:
1) 100%=232.2
2) x%=126.2
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%=232.2/126.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.2 is what percent of 232.2

100%/x%=232.2/126.2
(100/x)*x=(232.2/126.2)*x       - we multiply both sides of the equation by x
100=1.8399366085578*x       - we divide both sides of the equation by (1.8399366085578) to get x
100/1.8399366085578=x
54.349698535745=x
x=54.349698535745

now we have:
126.2 is 54.349698535745% of 232.2