What is 29.5 percent of 38.5 - 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 38.5 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 38.5 is 100%, so we can write it down as 38.5=100%.
4. We know, that x is 29.5% of the output value, so we can write it down as x=29.5%.
5. Now we have two simple equations:
1) 38.5=100%
2) x=29.5%
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:
38.5/x=100%/29.5%
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 29.5% of 38.5

38.5/x=100/29.5
(38.5/x)*x=(100/29.5)*x       - we multiply both sides of the equation by x
38.5=3.3898305084746*x       - we divide both sides of the equation by (3.3898305084746) to get x
38.5/3.3898305084746=x
11.3575=x
x=11.3575

now we have:
29.5% of 38.5=11.3575