0.08 is what percent of 3.806 - 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 3.806 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 3.806, so we can write it down as 100%=3.806.
4. We know, that x% equals 0.08 of the output value, so we can write it down as x%=0.08.
5. Now we have two simple equations:
1) 100%=3.806
2) x%=0.08
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%=3.806/0.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.08 is what percent of 3.806

100%/x%=3.806/0.08
(100/x)*x=(3.806/0.08)*x       - we multiply both sides of the equation by x
100=47.575*x       - we divide both sides of the equation by (47.575) to get x
100/47.575=x
2.1019442984761=x
x=2.1019442984761

now we have:
0.08 is 2.1019442984761% of 3.806