183.5 is what percent of 162 - 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 162 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 162, so we can write it down as 100%=162.
4. We know, that x% equals 183.5 of the output value, so we can write it down as x%=183.5.
5. Now we have two simple equations:
1) 100%=162
2) x%=183.5
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%=162/183.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 183.5 is what percent of 162

100%/x%=162/183.5
(100/x)*x=(162/183.5)*x       - we multiply both sides of the equation by x
100=0.88283378746594*x       - we divide both sides of the equation by (0.88283378746594) to get x
100/0.88283378746594=x
113.27160493827=x
x=113.27160493827

now we have:
183.5 is 113.27160493827% of 162