60.5 is what percent of 162.23 - 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 162.23 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 162.23, so we can write it down as 100%=162.23.
4. We know, that x% equals 60.5 of the output value, so we can write it down as x%=60.5.
5. Now we have two simple equations:
1) 100%=162.23
2) x%=60.5
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%=162.23/60.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.5 is what percent of 162.23

100%/x%=162.23/60.5
(100/x)*x=(162.23/60.5)*x       - we multiply both sides of the equation by x
100=2.6814876033058*x       - we divide both sides of the equation by (2.6814876033058) to get x
100/2.6814876033058=x
37.292732540221=x
x=37.292732540221

now we have:
60.5 is 37.292732540221% of 162.23