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Employee Benefit Plans - Performance-Based Restricted Stock Units (Details) - Performance Shares [Member] - USD ($) $ / shares in Units, $ in Millions	1 Months Ended					12 Months Ended
	Oct. 31, 2022	Mar. 31, 2022	Oct. 31, 2021	Nov. 30, 2020	Nov. 30, 2019	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense						$ 35.4	$ 22.6	$ 9.3
Minimum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Range of percentage of units vested upon achieving performance criteria						0.00%
Maximum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Range of percentage of units vested upon achieving performance criteria						200.00%
Fiscal 2022 Grant
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Target number of performance units		430,000	390,000
Granted, weighted average grant date fair value, per share			$ 80.58
Share-based compensation expense						$ 14.3	0.0	0.0
Fiscal 2021 Grant
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Target number of performance units				360,000
Granted, weighted average grant date fair value, per share				$ 70.60
Share-based compensation expense						12.5	12.5	0.0
Fiscal 2020 Grant [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Target number of performance units					360,000
Granted, weighted average grant date fair value, per share					$ 52.54
Share-based compensation expense						$ 8.6	$ 10.1	$ 9.3
Fiscal 2020 Grant [Member] \| Subsequent Event [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Restricted stock awarded	585,000