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Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)
12 Months Ended
Aug. 28, 2021
Aug. 29, 2020
Aug. 31, 2019
Goodwill [Line Items]      
Impairment losses related to goodwill or intangible assets $ 0 $ 0 $ 0
Goodwill 429,538,000 $ 424,844,000 $ 401,178,000
US and Canadian Rental and Cleaning      
Goodwill [Line Items]      
Goodwill 418,000,000.0    
Specialty Garments      
Goodwill [Line Items]      
Goodwill 10,900,000    
First Aid      
Goodwill [Line Items]      
Goodwill $ 600,000