What is 36.63 percent of 24.75 - 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 24.75 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 24.75 is 100%, so we can write it down as 24.75=100%.
4. We know, that x is 36.63% of the output value, so we can write it down as x=36.63%.
5. Now we have two simple equations:
1) 24.75=100%
2) x=36.63%
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:
24.75/x=100%/36.63%
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 36.63% of 24.75

24.75/x=100/36.63
(24.75/x)*x=(100/36.63)*x       - we multiply both sides of the equation by x
24.75=2.7300027300027*x       - we divide both sides of the equation by (2.7300027300027) to get x
24.75/2.7300027300027=x
9.065925=x
x=9.065925

now we have:
36.63% of 24.75=9.065925