115.48 is what percent of 180.57 - 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 180.57 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 180.57, so we can write it down as 100%=180.57.
4. We know, that x% equals 115.48 of the output value, so we can write it down as x%=115.48.
5. Now we have two simple equations:
1) 100%=180.57
2) x%=115.48
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%=180.57/115.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.48 is what percent of 180.57

100%/x%=180.57/115.48
(100/x)*x=(180.57/115.48)*x       - we multiply both sides of the equation by x
100=1.5636473848285*x       - we divide both sides of the equation by (1.5636473848285) to get x
100/1.5636473848285=x
63.953037603146=x
x=63.953037603146

now we have:
115.48 is 63.953037603146% of 180.57