82.98 is what percent of 165.97 - 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 165.97 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 165.97, so we can write it down as 100%=165.97.
4. We know, that x% equals 82.98 of the output value, so we can write it down as x%=82.98.
5. Now we have two simple equations:
1) 100%=165.97
2) x%=82.98
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%=165.97/82.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.98 is what percent of 165.97

100%/x%=165.97/82.98
(100/x)*x=(165.97/82.98)*x       - we multiply both sides of the equation by x
100=2.0001205109665*x       - we divide both sides of the equation by (2.0001205109665) to get x
100/2.0001205109665=x
49.996987407363=x
x=49.996987407363

now we have:
82.98 is 49.996987407363% of 165.97