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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. 01, 2025	Oct. 31, 2024	Oct. 31, 2023	Oct. 31, 2022	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based compensation expense					$ 40.2	$ 23.1	$ 11.6
Minimum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
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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					300.00%
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					$ 7.8	10.0	11.6
Fiscal 2023 Grant \| Subsequent Event [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Restricted stock awarded	484,492
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	13.1	0.0
Fiscal 2025 Grant
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Target number of performance units		327,717
Granted, weighted average grant date fair value, per share		$ 176.39
Share-based compensation expense					$ 19.3	$ 0.0	$ 0.0