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Goodwill and Other Intangible Assets, Net - Schedule of Gross Change in Carrying Amount of Goodwill (Parenthetical) (Details) - USD ($)
$ in Thousands
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Goodwill [Line Items]    
Additions $ 84,040  
Goodwill, impaired, accumulated impairment loss 471,000 $ 471,000
Columbus Recycling    
Goodwill [Line Items]    
Additions 62,000  
Encore Recycling    
Goodwill [Line Items]    
Additions $ 22,000