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Acquisitions - Schedule of Recognized Identified Assets Acquired and Liabilities Assumed (Details) - USD ($) $ in Millions	Jan. 01, 2025	Feb. 28, 2025	Aug. 31, 2024	Feb. 29, 2024	Aug. 31, 2023
Business Acquisition [Line Items]
Other liabilities	$ 88.5
Goodwill		$ 1,450.3	$ 1,098.7	$ 1,097.1	$ 1,097.9
QSC, LLC
Business Acquisition [Line Items]
Cash consideration	1,203.0
Intangible assets	702.6
Inventories	94.7
Property, plant, and equipment	27.0
Operating lease right-of-use assets	23.2
Accounts receivable	55.7
Other assets	81.7
Total identifiable assets	984.9
Accounts payable	32.6
Operating lease liabilities	24.3
Total liabilities assumed	145.4
Total identifiable net assets	839.5
Goodwill	$ 363.5
Weighted average amortization period (in years)	15 years

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