What is 11.9 percent of 30.85 - 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 30.85 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 30.85 is 100%, so we can write it down as 30.85=100%.
4. We know, that x is 11.9% of the output value, so we can write it down as x=11.9%.
5. Now we have two simple equations:
1) 30.85=100%
2) x=11.9%
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:
30.85/x=100%/11.9%
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 11.9% of 30.85

30.85/x=100/11.9
(30.85/x)*x=(100/11.9)*x       - we multiply both sides of the equation by x
30.85=8.4033613445378*x       - we divide both sides of the equation by (8.4033613445378) to get x
30.85/8.4033613445378=x
3.67115=x
x=3.67115

now we have:
11.9% of 30.85=3.67115