126.4 is what percent of 233.2 - 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 233.2 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 233.2, so we can write it down as 100%=233.2.
4. We know, that x% equals 126.4 of the output value, so we can write it down as x%=126.4.
5. Now we have two simple equations:
1) 100%=233.2
2) x%=126.4
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%=233.2/126.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.4 is what percent of 233.2

100%/x%=233.2/126.4
(100/x)*x=(233.2/126.4)*x       - we multiply both sides of the equation by x
100=1.8449367088608*x       - we divide both sides of the equation by (1.8449367088608) to get x
100/1.8449367088608=x
54.202401372213=x
x=54.202401372213

now we have:
126.4 is 54.202401372213% of 233.2