Goodwill and Intangible Assets - Schedule of Goodwill (Details) - USD ($)	3 Months Ended
	Nov. 26, 2022	Nov. 27, 2021
Goodwill [Roll Forward]
Beginning balance	$ 484,200,000	$ 348,100,000
Acquisition of Barletta		136,100,000
Ending balance	484,200,000	484,200,000
Goodwill activity	0
Towable
Goodwill [Roll Forward]
Beginning balance	244,700,000	244,700,000
Acquisition of Barletta		0
Ending balance	244,700,000	244,700,000
Motorhome
Goodwill [Roll Forward]
Beginning balance	73,100,000	73,100,000
Acquisition of Barletta		0
Ending balance	73,100,000	73,100,000
Marine
Goodwill [Roll Forward]
Beginning balance	166,400,000	30,300,000
Acquisition of Barletta		136,100,000
Ending balance	$ 166,400,000	$ 166,400,000