What is 11.8 percent of 199.864 - 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 199.864 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 199.864 is 100%, so we can write it down as 199.864=100%.
4. We know, that x is 11.8% of the output value, so we can write it down as x=11.8%.
5. Now we have two simple equations:
1) 199.864=100%
2) x=11.8%
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:
199.864/x=100%/11.8%
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 11.8% of 199.864

199.864/x=100/11.8
(199.864/x)*x=(100/11.8)*x       - we multiply both sides of the equation by x
199.864=8.4745762711864*x       - we divide both sides of the equation by (8.4745762711864) to get x
199.864/8.4745762711864=x
23.583952=x
x=23.583952

now we have:
11.8% of 199.864=23.583952