Goodwill and Other Intangible Assets - Narrative (Details) - USD ($)	12 Months Ended
	Aug. 27, 2022	Aug. 28, 2021	Aug. 29, 2020
Goodwill [Line Items]
Impairment losses related to goodwill or intangible assets	$ 0	$ 0	$ 0
Goodwill	457,259,000	$ 429,538,000	$ 424,844,000
US and Canadian Rental and Cleaning
Goodwill [Line Items]
Goodwill	445,900,000
Specialty Garments
Goodwill [Line Items]
Goodwill	10,800,000
First Aid
Goodwill [Line Items]
Goodwill	$ 600,000