What is 43.2 percent of 19.25 - 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 19.25 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 19.25 is 100%, so we can write it down as 19.25=100%.
4. We know, that x is 43.2% of the output value, so we can write it down as x=43.2%.
5. Now we have two simple equations:
1) 19.25=100%
2) x=43.2%
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:
19.25/x=100%/43.2%
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 43.2% of 19.25

19.25/x=100/43.2
(19.25/x)*x=(100/43.2)*x       - we multiply both sides of the equation by x
19.25=2.3148148148148*x       - we divide both sides of the equation by (2.3148148148148) to get x
19.25/2.3148148148148=x
8.316=x
x=8.316

now we have:
43.2% of 19.25=8.316