Goodwill and Intangible Assets - Schedule of Goodwill (Details) - USD ($) $ in Millions	9 Months Ended
	May 27, 2023	May 28, 2022
Goodwill [Roll Forward]
Beginning balance	$ 484.2	$ 348.1
Acquisitions	30.3	136.1
Ending balance	514.5	484.2
Corporate / All Other
Goodwill [Roll Forward]
Beginning balance	0.0	0.0
Acquisitions	30.3	0.0
Ending balance	30.3	0.0
Towable RV | Operating Segments
Goodwill [Roll Forward]
Beginning balance	244.7	244.7
Acquisitions	0.0	0.0
Ending balance	244.7	244.7
Motorhome RV | Operating Segments
Goodwill [Roll Forward]
Beginning balance	73.1	73.1
Acquisitions	0.0	0.0
Ending balance	73.1	73.1
Marine | Operating Segments
Goodwill [Roll Forward]
Beginning balance	166.4	30.3
Acquisitions	0.0	136.1
Ending balance	$ 166.4	$ 166.4