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Significant Accounting Policies - Selling, Distribution and Administrative Expenses (Details) - USD ($) $ in Millions	12 Months Ended
	Aug. 31, 2025	Aug. 31, 2024	Aug. 31, 2023
Accounting Policies [Abstract]
Other shipping and handling costs	$ 141.1	$ 134.2	$ 141.7
Share-based payment expense	45.1	46.6	42.0
Income tax benefit for share-based compensation	12.2	8.3	7.2
Net excess tax benefit related to share-based payment cost	6.0	1.5	1.5
Research and development expense	140.2	102.3	97.1
Advertising costs	$ 29.2	$ 20.1	$ 21.9

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- Definition

Shipping and handling cost incurred during the reporting period, excluding fees billed to customers and costs associated with inbound freight and freight between manufacturing facilities.

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Amount charged to advertising expense for the period, which are expenses incurred with the objective of increasing revenue for a specified brand, product or product line.

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-Topic 720
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Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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Amount of difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operation, attributable to expense for award under share-based payment arrangement. Excludes expense determined to be nondeductible upon grant or after for award under share-based payment arrangement.

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Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

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Amount of expense for research and development. Includes, but is not limited to, cost for computer software product to be sold, leased, or otherwise marketed and writeoff of research and development assets acquired in transaction other than business combination or joint venture formation or both. Excludes write-down of intangible asset acquired in business combination or from joint venture formation or both, used in research and development activity.

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