What is 11.76 percent of 198.4 - 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 198.4 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 198.4 is 100%, so we can write it down as 198.4=100%.
4. We know, that x is 11.76% of the output value, so we can write it down as x=11.76%.
5. Now we have two simple equations:
1) 198.4=100%
2) x=11.76%
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:
198.4/x=100%/11.76%
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 11.76% of 198.4

198.4/x=100/11.76
(198.4/x)*x=(100/11.76)*x       - we multiply both sides of the equation by x
198.4=8.5034013605442*x       - we divide both sides of the equation by (8.5034013605442) to get x
198.4/8.5034013605442=x
23.33184=x
x=23.33184

now we have:
11.76% of 198.4=23.33184