Stock-Based Compensation - Schedule of Stock Option Activity (Details) - $ / shares	3 Months Ended	12 Months Ended
	Dec. 31, 2021	Dec. 31, 2022	Sep. 30, 2021	Sep. 30, 2020
Options
Options outstanding, beginning of period (in shares)	471,676	433,026	1,083,402	1,328,390
Options granted (in shares)				301,025
Options forfeited (in shares)	(2,002)	(4,170)	(8,065)	(40,965)
Options expired (in shares)		(4,583)	(3,999)	(5,869)
Options exercised (in shares)	(36,648)	(47,504)	(599,662)	(499,179)
Options outstanding, end of period (in shares)	433,026	376,769	471,676	1,083,402
Options exercisable, end of period (in shares)	364,403	376,769	251,049	537,241
Weighted-Average Exercise Price
Options outstanding, beginning of period (in dollars per share)	$ 77.96	$ 78.37	$ 74.38	$ 62.62
Options granted (in dollars per share)				90.28
Options forfeited (in dollars per share)	85.04	90.28	81.40	79.00
Options expired (in dollars per share)		84.67	86.59	84.25
Options exercised (in dollars per share)	72.69	64.90	71.38	52.18
Options outstanding, end of period (in dollars per share)	78.37	79.86	77.96	74.38
Options exercisable, end of period (in dollars per share)	$ 76.13	$ 79.86	$ 74.73	$ 68.16