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Property and Equipment, net - Schedule of Property and Equipment, Net (Details) - USD ($) $ in Millions	Sep. 30, 2024	Sep. 30, 2023
Property, Plant and Equipment [Line Items]
Total property and equipment	$ 290.6	$ 230.2
Less: accumulated depreciation and amortization	(147.5)	(106.7)
Property and equipment, net	143.1	123.5
Furniture and fixtures
Property, Plant and Equipment [Line Items]
Total property and equipment	21.4	17.5
Software
Property, Plant and Equipment [Line Items]
Total property and equipment	41.5	38.1
Equipment
Property, Plant and Equipment [Line Items]
Total property and equipment	57.9	49.9
Leasehold improvements
Property, Plant and Equipment [Line Items]
Total property and equipment	56.7	47.7
Capitalized software development
Property, Plant and Equipment [Line Items]
Total property and equipment	$ 113.1	$ 77.0

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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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