Income Taxes - Significant Items Comprising Deferred Taxes (Details) - USD ($) $ in Millions	Aug. 26, 2023	Aug. 27, 2022
Income Tax Disclosure [Abstract]
Warranty reserves	$ 23.5	$ 30.7
Deferred compensation	2.4	3.0
Self-insurance reserve	5.1	4.9
Stock-based compensation	4.2	5.5
Leases	13.8	12.9
Convertible notes	5.8	0.0
Capitalized research and development costs	11.1	0.0
Other	13.9	9.1
Total deferred tax assets	79.8	66.1
Convertible notes	0.0	2.0
Intangibles	50.5	39.5
Depreciation	28.7	19.0
Leases	12.3	11.7
Total deferred tax liabilities	91.5	72.2
Total deferred income tax liabilities, net	$ 11.7	$ 6.1