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Significant Accounting Policies - Other Long-Term Liabilities (Details) - USD ($) $ in Millions	Aug. 31, 2024	Aug. 31, 2023
Disaggregation of Revenue [Line Items]
Deferred compensation and postretirement benefits other than pensions	$ 47.2	$ 45.6
Non-current deferred revenues	41.5	47.6
Unrecognized tax position liabilities, including interest	25.7	23.4
Product warranty and recall costs	9.1	8.8
Other	6.6	3.8
Total other long-term liabilities	130.1	129.2
Customers with Rebate, Marketing, and Trade Promotion Programs
Disaggregation of Revenue [Line Items]
Non-current deferred revenues	$ 41.5	$ 47.6

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