What is 36.55 percent of 21.25 - 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 21.25 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 21.25 is 100%, so we can write it down as 21.25=100%.
4. We know, that x is 36.55% of the output value, so we can write it down as x=36.55%.
5. Now we have two simple equations:
1) 21.25=100%
2) x=36.55%
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:
21.25/x=100%/36.55%
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 36.55% of 21.25

21.25/x=100/36.55
(21.25/x)*x=(100/36.55)*x       - we multiply both sides of the equation by x
21.25=2.7359781121751*x       - we divide both sides of the equation by (2.7359781121751) to get x
21.25/2.7359781121751=x
7.766875=x
x=7.766875

now we have:
36.55% of 21.25=7.766875