What is 38.25 percent of 43.75 - 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 43.75 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 43.75 is 100%, so we can write it down as 43.75=100%.
4. We know, that x is 38.25% of the output value, so we can write it down as x=38.25%.
5. Now we have two simple equations:
1) 43.75=100%
2) x=38.25%
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:
43.75/x=100%/38.25%
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 38.25% of 43.75

43.75/x=100/38.25
(43.75/x)*x=(100/38.25)*x       - we multiply both sides of the equation by x
43.75=2.6143790849673*x       - we divide both sides of the equation by (2.6143790849673) to get x
43.75/2.6143790849673=x
16.734375=x
x=16.734375

now we have:
38.25% of 43.75=16.734375