What is 36.5 percent of 29.2 - 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 29.2 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 29.2 is 100%, so we can write it down as 29.2=100%.
4. We know, that x is 36.5% of the output value, so we can write it down as x=36.5%.
5. Now we have two simple equations:
1) 29.2=100%
2) x=36.5%
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:
29.2/x=100%/36.5%
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 36.5% of 29.2

29.2/x=100/36.5
(29.2/x)*x=(100/36.5)*x       - we multiply both sides of the equation by x
29.2=2.7397260273973*x       - we divide both sides of the equation by (2.7397260273973) to get x
29.2/2.7397260273973=x
10.658=x
x=10.658

now we have:
36.5% of 29.2=10.658