Stock-Based Compensation - Schedule of Stock-Based Compensation Expense (Details) - USD ($)	3 Months Ended	6 Months Ended
Mar. 02, 2024	Mar. 04, 2023	Mar. 02, 2024	Mar. 04, 2023
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	$ 4,688,000	$ 4,979,000	$ 9,889,000	$ 9,969,000
Deferred income tax benefit	(1,079,000)	(1,259,000)	(2,343,000)	(2,492,000)
Stock-based compensation expense, net	3,609,000	3,720,000	7,546,000	7,477,000
Stock options
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	0	0	0	101,000
Restricted stock units
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	3,777,000	3,957,000	8,052,000	7,668,000
Performance share units
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	832,000	945,000	1,653,000	2,040,000
Associate Stock Purchase Plan
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation	$ 79,000	$ 77,000	$ 184,000	$ 160,000

Amount, after tax, of expense for award under share-based payment arrangement.

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- Definition

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

+ References

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- Definition

Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 718
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (h)(1)(i)
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147480429/718-10-50-2

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- Definition

Amount of noncash expense for share-based payment arrangement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Name Accounting Standards Codification
-Section 45
-Paragraph 28
-Subparagraph (a)
-SubTopic 10
-Topic 230
-Publisher FASB
-URI https://asc.fasb.org//1943274/2147482740/230-10-45-28

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