3.8 is what percent of 19.2 - 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 19.2 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 100% equals 19.2, so we can write it down as 100%=19.2.
4. We know, that x% equals 3.8 of the output value, so we can write it down as x%=3.8.
5. Now we have two simple equations:
1) 100%=19.2
2) x%=3.8
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:
100%/x%=19.2/3.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.8 is what percent of 19.2

100%/x%=19.2/3.8
(100/x)*x=(19.2/3.8)*x       - we multiply both sides of the equation by x
100=5.0526315789474*x       - we divide both sides of the equation by (5.0526315789474) to get x
100/5.0526315789474=x
19.791666666667=x
x=19.791666666667

now we have:
3.8 is 19.791666666667% of 19.2