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Goodwill and Intangible Assets - Schedule of Intangible Assets (Details) - USD ($) $ in Millions | Aug. 31, 2024 | Aug. 26, 2023
--- | --- | ---
Schedule of Intangible Assets [Line Items] |  |
Total amortization expense remaining | $ 126.7 |
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |
Gross Carrying Amount | 628.5 | $ 628.5
Accumulated Amortization | 149.5 | 126.5
Net Carrying Value | 479.0 | 502.0
Trade names |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 4.1 | 4.1
Total amortization expense remaining | 3.3 | 3.9
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |
Accumulated Amortization | 0.8 | 0.2
Dealer networks/customer relationships |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 183.6 | 183.6
Total amortization expense remaining | 92.1 | 108.0
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |
Accumulated Amortization | 91.5 | 75.6
Backlog |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 43.6 | 43.6
Total amortization expense remaining | 0.4 | 1.1
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |
Accumulated Amortization | 43.2 | 42.5
Developed technology |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 38.3 | 38.3
Total amortization expense remaining | 30.9 | 36.5
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |
Accumulated Amortization | 7.4 | 1.8
Non-compete agreements |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 6.6 | 6.6
Total amortization expense remaining | 0.0 | 0.2
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |
Accumulated Amortization | 6.6 | 6.4
Trade names |  |
Schedule of Intangible Assets [Line Items] |  |
Indefinite-lived trade names | $ 352.3 | $ 352.3

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