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Accumulated Other Comprehensive Income (Loss) - Changes in AOCI by Component (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	May 28, 2022	May 29, 2021	May 28, 2022	May 29, 2021
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	$ 1,208,987	$ 942,364	$ 1,056,943	$ 827,466
Ending balance	1,263,891	1,010,258	1,263,891	1,010,258
Defined Benefit Pension Items
Accumulated Other Comprehensive Income (Loss) [Roll Forward]
Beginning balance	(473)	(509)	(491)	(526)
Amounts reclassified from AOCI	10	9	28	26
Net current-period OCI	10	9	28	26
Ending balance	$ (463)	$ (500)	$ (463)	$ (500)

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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Amount after tax of other comprehensive income (loss) attributable to parent entity.

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Amount after tax of reclassification adjustments of other comprehensive income (loss) attributable to parent.

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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.

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