65.97 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 65.97 of the output value, so we can write it down as x%=65.97.
5. Now we have two simple equations:
1) 100%=165
2) x%=65.97
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%=165/65.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.97 is what percent of 165

100%/x%=165/65.97
(100/x)*x=(165/65.97)*x       - we multiply both sides of the equation by x
100=2.5011368804002*x       - we divide both sides of the equation by (2.5011368804002) to get x
100/2.5011368804002=x
39.981818181818=x
x=39.981818181818

now we have:
65.97 is 39.981818181818% of 165