3.8 is what percent of 30.41 - 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 30.41 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 30.41, so we can write it down as 100%=30.41.
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%=30.41
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%=30.41/3.8
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 30.41

100%/x%=30.41/3.8
(100/x)*x=(30.41/3.8)*x       - we multiply both sides of the equation by x
100=8.0026315789474*x       - we divide both sides of the equation by (8.0026315789474) to get x
100/8.0026315789474=x
12.49588951003=x
x=12.49588951003

now we have:
3.8 is 12.49588951003% of 30.41