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Property and Equipment, net - Schedule of Property and Equipment, Net (Details) - USD ($) $ in Millions	Sep. 30, 2025	Sep. 30, 2024
Property, Plant and Equipment [Line Items]
Total property and equipment	$ 365.4	$ 290.6
Less: accumulated depreciation and amortization	(198.8)	(147.5)
Property and equipment, net	166.6	143.1
Furniture and fixtures
Property, Plant and Equipment [Line Items]
Total property and equipment	29.9	21.4
Software
Property, Plant and Equipment [Line Items]
Total property and equipment	45.3	41.5
Equipment
Property, Plant and Equipment [Line Items]
Total property and equipment	67.3	57.9
Leasehold improvements
Property, Plant and Equipment [Line Items]
Total property and equipment	68.6	56.7
Capitalized software development
Property, Plant and Equipment [Line Items]
Total property and equipment	$ 154.3	$ 113.1

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Amount of accumulated depreciation, depletion and amortization for physical assets used in the normal conduct of business to produce goods and services.

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