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Income Taxes - Significant Items Comprising Deferred Taxes (Details) - USD ($)
$ in Millions
Aug. 31, 2024
Aug. 26, 2023
Income Tax Disclosure [Abstract]    
Warranty reserves $ 19.3 $ 23.5
Deferred compensation 2.5 2.4
Self-insurance reserve 4.4 5.1
Stock-based compensation 4.5 4.2
Leases 15.0 13.8
Convertible notes 16.5 5.8
Capitalized research and development costs 23.8 11.1
Other 18.1 13.9
Valuation allowance (1.9) 0.0
Total deferred tax assets 102.2 79.8
Intangibles 61.5 50.5
Depreciation 30.2 28.7
Leases 13.5 12.3
Total deferred tax liabilities 105.2 91.5
Total deferred income tax liabilities, net $ 3.0 $ 11.7