Stock Repurchase and Dividends - Schedule of Dividends Declared and Paid (Details) - USD ($) $ / shares in Units, $ in Thousands							3 Months Ended	9 Months Ended
May 27, 2022	Feb. 25, 2022	Dec. 20, 2021	May 28, 2021	Feb. 26, 2021	Dec. 11, 2020	Jul. 03, 2022	Jun. 27, 2021	Jul. 03, 2022	Jun. 27, 2021
Stock Repurchase And Dividends [Abstract]
Dividend paid per share (in dollars per share)	$ 0.23	$ 0.20	$ 0.20	$ 0.20	$ 0.17	$ 0.17	$ 0.23	$ 0.20	$ 0.63	$ 0.54
Dividend Paid	$ 12,311	$ 10,769	$ 10,793	$ 10,831	$ 9,212	$ 9,198			$ 33,873	$ 29,241

Amount of paid and unpaid cash, stock, and paid-in-kind (PIK) dividends declared, for example, but not limited to, common and preferred stock.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 505
-SubTopic 10
-Section S99
-Paragraph 1
-Subparagraph (SX 210.3-04)
-URI http://asc.fasb.org/extlink&oid=120397183&loc=d3e187085-122770

Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 942
-SubTopic 405
-Section 45
-Paragraph 2
-URI http://asc.fasb.org/extlink&oid=6957935&loc=d3e64057-112817

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Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration