What is 16.4 percent of 103.6 - 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 103.6 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 103.6 is 100%, so we can write it down as 103.6=100%.
4. We know, that x is 16.4% of the output value, so we can write it down as x=16.4%.
5. Now we have two simple equations:
1) 103.6=100%
2) x=16.4%
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:
103.6/x=100%/16.4%
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 16.4% of 103.6

103.6/x=100/16.4
(103.6/x)*x=(100/16.4)*x       - we multiply both sides of the equation by x
103.6=6.0975609756098*x       - we divide both sides of the equation by (6.0975609756098) to get x
103.6/6.0975609756098=x
16.9904=x
x=16.9904

now we have:
16.4% of 103.6=16.9904