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Acquisitions - Narrative (Details) $ in Thousands |  | 2 Months Ended | 3 Months Ended | 9 Months Ended
--- | --- | --- | --- | ---
Mar. 13, 2023 USD ($) | May 27, 2023 USD ($) | May 27, 2023 USD ($) | May 28, 2022 USD ($) | May 27, 2023 USD ($) Business | May 28, 2022 USD ($)
Business Acquisition [Line Items] |  |  |  |  |  |
Revenues |  |  | $ 576,668 | $ 511,548 | $ 1,661,157 | $ 1,484,408
Aggregate Information Relating to Acquisition of Businesses |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Number of business acquired | Business |  |  |  |  | 4 |
Business acquisitions, aggregate purchase price |  |  |  |  | $ 7,100 |
Clean Holdco, Inc. |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |
Acquisition date |  |  |  |  | Mar. 13, 2023 |
Business acquisitions, aggregate purchase price | $ 299,100 |  |  |  |  |
Business combination, Difference of cash paid and total purchase price amount | 302,400 |  |  |  |  |
Business combination estimated value of incremental tax benefits | $ 40,000 |  |  |  |  |
Business acquisition, transaction and related costs |  |  | $ 700 |  | $ 2,700 |
Revenues |  | $ 19,800 |  |  |  |

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