68.5 is what percent of 165 - 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 165 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 165, so we can write it down as 100%=165.
4. We know, that x% equals 68.5 of the output value, so we can write it down as x%=68.5.
5. Now we have two simple equations:
1) 100%=165
2) x%=68.5
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%=165/68.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 68.5 is what percent of 165

100%/x%=165/68.5
(100/x)*x=(165/68.5)*x       - we multiply both sides of the equation by x
100=2.4087591240876*x       - we divide both sides of the equation by (2.4087591240876) to get x
100/2.4087591240876=x
41.515151515152=x
x=41.515151515152

now we have:
68.5 is 41.515151515152% of 165