What is 24.75 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 24.75% of the output value, so we can write it down as x=24.75%.
5. Now we have two simple equations:
1) 165=100%
2) x=24.75%
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%/24.75%
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 24.75% of 165

165/x=100/24.75
(165/x)*x=(100/24.75)*x       - we multiply both sides of the equation by x
165=4.040404040404*x       - we divide both sides of the equation by (4.040404040404) to get x
165/4.040404040404=x
40.8375=x
x=40.8375

now we have:
24.75% of 165=40.8375