Stockholders' Equity - Additional Information (Details) - USD ($)	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Class of Stock [Line Items]
Preferred stock, shares authorized	5,000,000	5,000,000
Common stock, shares authorized	500,000,000	500,000,000
Stock repurchased during period (in shares)	1,050,000.00	230,000	0
Stock repurchased during period, value	$ 125,000,000	$ 30,000,000
Maximum
Class of Stock [Line Items]
Common stock, shares authorized	500,000,000
Stock authorized to repurchase	$ 1,000,000,000
Series A Junior Participating Preferred Stock
Class of Stock [Line Items]
Preferred stock, shares authorized	500,000