What is 3.2 percent of 198.16 - 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 198.16 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 198.16 is 100%, so we can write it down as 198.16=100%.
4. We know, that x is 3.2% of the output value, so we can write it down as x=3.2%.
5. Now we have two simple equations:
1) 198.16=100%
2) x=3.2%
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:
198.16/x=100%/3.2%
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 3.2% of 198.16

198.16/x=100/3.2
(198.16/x)*x=(100/3.2)*x       - we multiply both sides of the equation by x
198.16=31.25*x       - we divide both sides of the equation by (31.25) to get x
198.16/31.25=x
6.34112=x
x=6.34112

now we have:
3.2% of 198.16=6.34112