115.5 is what percent of 66.5 - 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 66.5 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 66.5, so we can write it down as 100%=66.5.
4. We know, that x% equals 115.5 of the output value, so we can write it down as x%=115.5.
5. Now we have two simple equations:
1) 100%=66.5
2) x%=115.5
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%=66.5/115.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.5 is what percent of 66.5

100%/x%=66.5/115.5
(100/x)*x=(66.5/115.5)*x       - we multiply both sides of the equation by x
100=0.57575757575758*x       - we divide both sides of the equation by (0.57575757575758) to get x
100/0.57575757575758=x
173.68421052632=x
x=173.68421052632

now we have:
115.5 is 173.68421052632% of 66.5