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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)
12 Months Ended
Aug. 26, 2023
Aug. 27, 2022
Aug. 28, 2021
Goodwill [Line Items]      
Impairment losses related to goodwill or intangible assets $ 0 $ 0 $ 0
Goodwill 647,900,000 $ 457,259,000 $ 429,538,000
US and Canadian Rental and Cleaning      
Goodwill [Line Items]      
Goodwill 636,400,000    
Specialty Garments      
Goodwill [Line Items]      
Goodwill 10,900,000    
First Aid      
Goodwill [Line Items]      
Goodwill $ 600,000