What is 9 percent of 196.6 - 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 196.6 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 196.6 is 100%, so we can write it down as 196.6=100%.
4. We know, that x is 9% of the output value, so we can write it down as x=9%.
5. Now we have two simple equations:
1) 196.6=100%
2) x=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:
196.6/x=100%/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 9% of 196.6

196.6/x=100/9
(196.6/x)*x=(100/9)*x       - we multiply both sides of the equation by x
196.6=11.111111111111*x       - we divide both sides of the equation by (11.111111111111) to get x
196.6/11.111111111111=x
17.694=x
x=17.694

now we have:
9% of 196.6=17.694