233.52 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 233.52 of the output value, so we can write it down as x%=233.52.
5. Now we have two simple equations:
1) 100%=240
2) x%=233.52
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%=240/233.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 233.52 is what percent of 240

100%/x%=240/233.52
(100/x)*x=(240/233.52)*x       - we multiply both sides of the equation by x
100=1.0277492291881*x       - we divide both sides of the equation by (1.0277492291881) to get x
100/1.0277492291881=x
97.3=x
x=97.3

now we have:
233.52 is 97.3% of 240