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Goodwill and Intangible Assets - Schedule of Intangible Assets (Details) - USD ($) $ in Millions | May 27, 2023 | Aug. 27, 2022
--- | --- | ---
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | $ 628.5 | $ 581.2
Accumulated Amortization | 120.8 | 108.8
Net Carrying Value | 507.7 | 472.4
Dealer networks/customer relationships |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 183.6 | 180.0
Accumulated Amortization | 71.6 | 60.5
Net Carrying Value | 112.0 | 119.5
Backlog |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 43.6 | 42.3
Accumulated Amortization | 42.4 | 42.3
Net Carrying Value | 1.2 | 0.0
Developed technology |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 38.3 |
Accumulated Amortization | 0.5 |
Net Carrying Value | 37.8 |
Non-compete agreements |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 6.6 | 6.6
Accumulated Amortization | 6.3 | 6.0
Net Carrying Value | 0.3 | 0.6
Trade names |  |
Schedule of Intangible Assets [Line Items] |  |
Gross Carrying Amount | 356.4 | 352.3
Net Carrying Value | $ 356.4 | $ 352.3

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- Definition Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 210 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.5-02(16)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480566/210-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 350 -SubTopic 30 -Name Accounting Standards Codification -Section 50 -Paragraph 2 -Subparagraph (a)(1) -Publisher FASB -URI https://asc.fasb.org//1943274/2147482665/350-30-50-2 + Details
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