What is 36.45 percent of 20.25 - 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 20.25 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 20.25 is 100%, so we can write it down as 20.25=100%.
4. We know, that x is 36.45% of the output value, so we can write it down as x=36.45%.
5. Now we have two simple equations:
1) 20.25=100%
2) x=36.45%
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:
20.25/x=100%/36.45%
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 36.45% of 20.25

20.25/x=100/36.45
(20.25/x)*x=(100/36.45)*x       - we multiply both sides of the equation by x
20.25=2.7434842249657*x       - we divide both sides of the equation by (2.7434842249657) to get x
20.25/2.7434842249657=x
7.381125=x
x=7.381125

now we have:
36.45% of 20.25=7.381125