What is 8.449 percent of 11.9 - 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 11.9 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 11.9 is 100%, so we can write it down as 11.9=100%.
4. We know, that x is 8.449% of the output value, so we can write it down as x=8.449%.
5. Now we have two simple equations:
1) 11.9=100%
2) x=8.449%
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:
11.9/x=100%/8.449%
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 8.449% of 11.9

11.9/x=100/8.449
(11.9/x)*x=(100/8.449)*x       - we multiply both sides of the equation by x
11.9=11.835720203574*x       - we divide both sides of the equation by (11.835720203574) to get x
11.9/11.835720203574=x
1.005431=x
x=1.005431

now we have:
8.449% of 11.9=1.005431