232.49 is what percent of 240.13 - 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 240.13 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 240.13, so we can write it down as 100%=240.13.
4. We know, that x% equals 232.49 of the output value, so we can write it down as x%=232.49.
5. Now we have two simple equations:
1) 100%=240.13
2) x%=232.49
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%=240.13/232.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 232.49 is what percent of 240.13

100%/x%=240.13/232.49
(100/x)*x=(240.13/232.49)*x       - we multiply both sides of the equation by x
100=1.0328616284571*x       - we divide both sides of the equation by (1.0328616284571) to get x
100/1.0328616284571=x
96.818390038729=x
x=96.818390038729

now we have:
232.49 is 96.818390038729% of 240.13