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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, 2023	Oct. 31, 2022	Mar. 31, 2022	Oct. 31, 2021	Nov. 30, 2020	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense						$ 36.9	$ 26.8	$ 12.5
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 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						$ 11.0	12.5	12.5
Fiscal 2021 Grant \| Subsequent Event [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Restricted stock awarded	607,500
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	14.3	0.0
Fiscal 2023 Grant
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Target number of performance units		600,000
Granted, weighted average grant date fair value, per share		$ 79.97
Share-based compensation expense						$ 11.6	$ 0.0	$ 0.0