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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, 2024	Oct. 31, 2023	Oct. 31, 2022	Mar. 31, 2022	Oct. 31, 2021	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense						$ 30.1	$ 25.9	$ 14.3
Minimum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage						0.00%
Maximum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage						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						$ 7.0	14.3	14.3
Fiscal 2022 Grant \| Subsequent Event [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Restricted stock awarded	545,558
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						10.0	11.6	0.0
Fiscal 2024 Grant
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Target number of performance units		277,779
Granted, weighted average grant date fair value, per share		$ 146.72
Share-based compensation expense						$ 13.1	$ 0.0	$ 0.0