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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