If $1$ August is Wednesday, then $1$ September will be:

Let's count the number of days from $1$ August to $1$ September:
* August has a total of $31$ days.
* The number of days between $1$ August and $1$ September is exactly $31$ days.

Now, calculate the number of odd days:

$$\text{Odd days}=31(\mathrm{mod}7)=3\text{ days}$$

Add $3$ days to Wednesday:

$$\text{Wednesday}+3\text{ days}=\text{Saturday}$$

Therefore, $1$ September will be a Saturday.