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Goodwill and Intangible Assets - Schedule of Intangible Assets (Details) - USD ($)
$ in Millions
Aug. 30, 2025
Aug. 31, 2024
Schedule of Intangible Assets [Line Items]    
Total amortization expense remaining $ 104.6  
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Gross Carrying Amount 628.5 $ 628.5
Accumulated Amortization 171.6 149.5
Net Carrying Value 456.9 479.0
Trade names    
Schedule of Intangible Assets [Line Items]    
Gross Carrying Amount 4.1 4.1
Total amortization expense remaining 2.7 3.3
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Accumulated Amortization 1.4 0.8
Dealer networks/customer relationships    
Schedule of Intangible Assets [Line Items]    
Gross Carrying Amount 183.6 183.6
Total amortization expense remaining 76.5 92.1
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Accumulated Amortization 107.1 91.5
Backlog    
Schedule of Intangible Assets [Line Items]    
Gross Carrying Amount 43.6 43.6
Total amortization expense remaining 0.0 0.4
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Accumulated Amortization 43.6 43.2
Developed technology    
Schedule of Intangible Assets [Line Items]    
Gross Carrying Amount 38.3 38.3
Total amortization expense remaining 25.4 30.9
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Accumulated Amortization 12.9 7.4
Non-compete agreements    
Schedule of Intangible Assets [Line Items]    
Gross Carrying Amount 6.6 6.6
Total amortization expense remaining 0.0 0.0
Intangible Assets, Net (Excluding Goodwill) [Abstract]    
Accumulated Amortization 6.6 6.6
Trade names    
Schedule of Intangible Assets [Line Items]    
Indefinite-lived trade names $ 352.3 $ 352.3