What is 23.25 percent of 36.27 - 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 36.27 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 36.27 is 100%, so we can write it down as 36.27=100%.
4. We know, that x is 23.25% of the output value, so we can write it down as x=23.25%.
5. Now we have two simple equations:
1) 36.27=100%
2) x=23.25%
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:
36.27/x=100%/23.25%
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 23.25% of 36.27

36.27/x=100/23.25
(36.27/x)*x=(100/23.25)*x       - we multiply both sides of the equation by x
36.27=4.3010752688172*x       - we divide both sides of the equation by (4.3010752688172) to get x
36.27/4.3010752688172=x
8.432775=x
x=8.432775

now we have:
23.25% of 36.27=8.432775