102.9 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 102.9 of the output value, so we can write it down as x%=102.9.
5. Now we have two simple equations:
1) 100%=165
2) x%=102.9
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%=165/102.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.9 is what percent of 165

100%/x%=165/102.9
(100/x)*x=(165/102.9)*x       - we multiply both sides of the equation by x
100=1.6034985422741*x       - we divide both sides of the equation by (1.6034985422741) to get x
100/1.6034985422741=x
62.363636363636=x
x=62.363636363636

now we have:
102.9 is 62.363636363636% of 165