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Business Combinations - Schedule of Preliminary Fair Values Assigned (Details) - USD ($) $ in Millions | Aug. 26, 2023 | Aug. 27, 2022 | Aug. 31, 2021 | Aug. 28, 2021
--- | --- | --- | --- | ---
Business Acquisition [Line Items] |  |  |  |
Goodwill | $ 514.5 | $ 484.2 |  | $ 348.1
Barletta |  |  |  |
Business Acquisition [Line Items] |  |  |  |
Cash |  |  | $ 11.9 |
Other current assets |  |  | 24.6 |
Property, plant, and equipment |  |  | 17.3 |
Goodwill |  |  | 136.1 |
Other intangible assets |  |  | 111.4 |
Total assets acquired |  |  | 301.3 |
Accounts payable |  |  | 7.2 |
Product warranties |  |  | 4.7 |
Other current liabilities |  |  | 3.1 |
Total liabilities assumed |  |  | 15.0 |
Total purchase price |  |  | $ 286.3 |

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