What is 36.65 percent of 52.5 - 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 52.5 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 52.5 is 100%, so we can write it down as 52.5=100%.
4. We know, that x is 36.65% of the output value, so we can write it down as x=36.65%.
5. Now we have two simple equations:
1) 52.5=100%
2) x=36.65%
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:
52.5/x=100%/36.65%
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 36.65% of 52.5

52.5/x=100/36.65
(52.5/x)*x=(100/36.65)*x       - we multiply both sides of the equation by x
52.5=2.7285129604366*x       - we divide both sides of the equation by (2.7285129604366) to get x
52.5/2.7285129604366=x
19.24125=x
x=19.24125

now we have:
36.65% of 52.5=19.24125