Accumulated Other Comprehensive Income (Loss) - Changes in AOCI by Component (Details) - USD ($) $ in Thousands	3 Months Ended	9 Months Ended
May 29, 2021	May 30, 2020	May 29, 2021	May 30, 2020
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	$ 942,364	$ 801,524	$ 827,466	$ 632,212
OCI before reclassifications	0	(432)	0	(500)
Amounts reclassified from AOCI	9	8	26	24
Other comprehensive income (loss)	9	(424)	26	(476)
Ending balance	1,010,258	784,810	1,010,258	784,810
Total
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(509)	(543)	(526)	(491)
Ending balance	(500)	(967)	(500)	(967)
Defined Benefit Pension Items
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(509)	(543)	(526)	(559)
OCI before reclassifications	0	0	0	0
Amounts reclassified from AOCI	9	8	26	24
Other comprehensive income (loss)	9	8	26	24
Ending balance	$ (500)	(535)	$ (500)	(535)
Interest Rate Swap
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance		0		68
OCI before reclassifications		(432)		(500)
Amounts reclassified from AOCI		0		0
Other comprehensive income (loss)		(432)		(500)
Ending balance		$ (432)		$ (432)

Total of all stockholders' equity (deficit) items, net of receivables from officers, directors, owners, and affiliates of the entity which are attributable to the parent. The amount of the economic entity's stockholders' equity attributable to the parent excludes the amount of stockholders' equity which is allocable to that ownership interest in subsidiary equity which is not attributable to the parent (noncontrolling interest, minority interest). This excludes temporary equity and is sometimes called permanent equity.

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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-Name Accounting Standards Codification
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Reference 2: http://www.xbrl.org/2003/role/exampleRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 852
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Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
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Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef
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Reference 5: http://fasb.org/us-gaap/role/ref/legacyRef
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Reference 6: http://fasb.org/us-gaap/role/ref/legacyRef
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Reference 7: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
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Reference 8: http://www.xbrl.org/2009/role/commonPracticeRef
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+ Details