What is 38.75 percent of 34.375 - 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 34.375 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 34.375 is 100%, so we can write it down as 34.375=100%.
4. We know, that x is 38.75% of the output value, so we can write it down as x=38.75%.
5. Now we have two simple equations:
1) 34.375=100%
2) x=38.75%
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:
34.375/x=100%/38.75%
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 38.75% of 34.375

34.375/x=100/38.75
(34.375/x)*x=(100/38.75)*x       - we multiply both sides of the equation by x
34.375=2.5806451612903*x       - we divide both sides of the equation by (2.5806451612903) to get x
34.375/2.5806451612903=x
13.3203125=x
x=13.3203125

now we have:
38.75% of 34.375=13.3203125