3.8 is what percent of 45.85 - 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 45.85 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 45.85, so we can write it down as 100%=45.85.
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%=45.85
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%=45.85/3.8
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 45.85

100%/x%=45.85/3.8
(100/x)*x=(45.85/3.8)*x       - we multiply both sides of the equation by x
100=12.065789473684*x       - we divide both sides of the equation by (12.065789473684) to get x
100/12.065789473684=x
8.2878953107961=x
x=8.2878953107961

now we have:
3.8 is 8.2878953107961% of 45.85