What is 23.64 percent of 165.75 - 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 165.75 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 165.75 is 100%, so we can write it down as 165.75=100%.
4. We know, that x is 23.64% of the output value, so we can write it down as x=23.64%.
5. Now we have two simple equations:
1) 165.75=100%
2) x=23.64%
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:
165.75/x=100%/23.64%
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 23.64% of 165.75

165.75/x=100/23.64
(165.75/x)*x=(100/23.64)*x       - we multiply both sides of the equation by x
165.75=4.2301184433164*x       - we divide both sides of the equation by (4.2301184433164) to get x
165.75/4.2301184433164=x
39.1833=x
x=39.1833

now we have:
23.64% of 165.75=39.1833