113.65 is what percent of 243.53 - 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 243.53 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 243.53, so we can write it down as 100%=243.53.
4. We know, that x% equals 113.65 of the output value, so we can write it down as x%=113.65.
5. Now we have two simple equations:
1) 100%=243.53
2) x%=113.65
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%=243.53/113.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.65 is what percent of 243.53

100%/x%=243.53/113.65
(100/x)*x=(243.53/113.65)*x       - we multiply both sides of the equation by x
100=2.1428068631764*x       - we divide both sides of the equation by (2.1428068631764) to get x
100/2.1428068631764=x
46.667761672073=x
x=46.667761672073

now we have:
113.65 is 46.667761672073% of 243.53