Accumulated Other Comprehensive Income (Loss) - Reclassification from AOCI (Details) - USD ($) $ in Thousands	3 Months Ended	9 Months Ended
May 28, 2022	May 29, 2021	May 28, 2022	May 29, 2021
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Selling, general, and administrative expenses	$ 88,231	$ 63,586	$ 234,896	$ 165,001
Reclassification out of Accumulated Other Comprehensive Income \| Amortization of net actuarial loss
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Selling, general, and administrative expenses	$ 10	$ 9	$ 28	$ 26

The aggregate total costs related to selling a firm's product and services, as well as all other general and administrative expenses. Direct selling expenses (for example, credit, warranty, and advertising) are expenses that can be directly linked to the sale of specific products. Indirect selling expenses are expenses that cannot be directly linked to the sale of specific products, for example telephone expenses, Internet, and postal charges. General and administrative expenses include salaries of non-sales personnel, rent, utilities, communication, etc.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 220
-SubTopic 10
-Section S99
-Paragraph 2
-Subparagraph (SX 210.5-03.4)
-URI http://asc.fasb.org/extlink&oid=123367319&loc=SL114868664-224227

Name:	us-gaap_SellingGeneralAndAdministrativeExpense
Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration