What is 36.58 percent of 28.52 - 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 28.52 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 28.52 is 100%, so we can write it down as 28.52=100%.
4. We know, that x is 36.58% of the output value, so we can write it down as x=36.58%.
5. Now we have two simple equations:
1) 28.52=100%
2) x=36.58%
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:
28.52/x=100%/36.58%
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 36.58% of 28.52

28.52/x=100/36.58
(28.52/x)*x=(100/36.58)*x       - we multiply both sides of the equation by x
28.52=2.7337342810279*x       - we divide both sides of the equation by (2.7337342810279) to get x
28.52/2.7337342810279=x
10.432616=x
x=10.432616

now we have:
36.58% of 28.52=10.432616