What is 34.6 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 165 is 100%, so we can write it down as 165=100%.
4. We know, that x is 34.6% of the output value, so we can write it down as x=34.6%.
5. Now we have two simple equations:
1) 165=100%
2) x=34.6%
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:
165/x=100%/34.6%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 34.6% of 165

165/x=100/34.6
(165/x)*x=(100/34.6)*x       - we multiply both sides of the equation by x
165=2.8901734104046*x       - we divide both sides of the equation by (2.8901734104046) to get x
165/2.8901734104046=x
57.09=x
x=57.09

now we have:
34.6% of 165=57.09