Goodwill and Intangible Assets - Schedule of Intangible Assets (Details) - USD ($) $ in Millions	Feb. 25, 2023	Aug. 27, 2022
Schedule of Intangible Assets [Line Items]
Gross Carrying Amount	$ 581.2	$ 581.2
Accumulated Amortization	116.4	108.8
Net Carrying Value	464.8	472.4
Dealer networks
Schedule of Intangible Assets [Line Items]
Gross Carrying Amount	180.0	180.0
Accumulated Amortization	67.9	60.5
Net Carrying Value	112.1	119.5
Backlog
Schedule of Intangible Assets [Line Items]
Gross Carrying Amount	42.3	42.3
Accumulated Amortization	42.3	42.3
Net Carrying Value	0.0	0.0
Non-compete agreements
Schedule of Intangible Assets [Line Items]
Gross Carrying Amount	6.6	6.6
Accumulated Amortization	6.2	6.0
Net Carrying Value	0.4	0.6
Trade names
Schedule of Intangible Assets [Line Items]
Gross Carrying Amount	352.3	352.3
Net Carrying Value	$ 352.3	$ 352.3