232.2 is what percent of 240 - 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 240 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 240, so we can write it down as 100%=240.
4. We know, that x% equals 232.2 of the output value, so we can write it down as x%=232.2.
5. Now we have two simple equations:
1) 100%=240
2) x%=232.2
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%=240/232.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 232.2 is what percent of 240

100%/x%=240/232.2
(100/x)*x=(240/232.2)*x       - we multiply both sides of the equation by x
100=1.0335917312662*x       - we divide both sides of the equation by (1.0335917312662) to get x
100/1.0335917312662=x
96.75=x
x=96.75

now we have:
232.2 is 96.75% of 240