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Significant Accounting Policies - Other Long-Term Liabilities (Details) - USD ($) $ in Millions	Aug. 31, 2025	Aug. 31, 2024
Disaggregation of Revenue [Line Items]
Deferred compensation and postretirement benefits other than pensions	$ 51.6	$ 47.2
Deferred revenues	38.0	41.5
Unrecognized tax position liabilities, including interest	20.9	25.7
Product warranty and recall costs	14.7	9.1
Other	14.1	6.6
Total other long-term liabilities	139.3	130.1
Customers with Rebate, Marketing, and Trade Promotion Programs
Disaggregation of Revenue [Line Items]
Deferred revenues	$ 38.0	$ 41.5

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