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Associate Benefit Plans - Narrative (Details) - USD ($) $ / shares in Units, shares in Thousands	12 Months Ended
	Aug. 30, 2025	Aug. 31, 2024	Sep. 02, 2023	Jan. 27, 2021	Jan. 26, 2021
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based payment arrangement, option, exercise price range, shares outstanding (in shares)	1,000
Range of exercise price (in USD per share)	$ 83.21
Share-based payment arrangement, option, exercise price range, outstanding, weighted average remaining contractual term	1 month 6 days
Aggregate Intrinsic Value of options outstanding	$ 8,000
Performance Share Units
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, award vesting period	3 years
Unrecognized share-based compensation cost	$ 2,631,000
Unrecognized share-based compensation weighted average period	1 year 2 months 12 days
Performance Share Units \| Minimum \| Vest After Three Year Performance Period
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting percentage	0.00%
Performance Share Units \| Maximum \| Vest After Three Year Performance Period
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Vesting percentage	200.00%
Restricted Stock Unit
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Unrecognized share-based compensation cost	$ 26,053,000
Unrecognized share-based compensation weighted average period	2 years 7 months 6 days
Restricted Stock Unit \| Minimum
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, award vesting period	4 years
Restricted Stock Unit \| Maximum
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, award vesting period	5 years
Stock Options
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, award vesting period	4 years
Unrecognized share-based compensation cost	$ 0
Share-based compensation arrangement by share-based payment award, expiration period	7 years
Share-based compensation arrangement by share-based payment award, options, exercises in period	(98)
Exercised (in USD per share)	$ 83.21
Total intrinsic value of options exercised	$ 623,000	$ 1,912,000	$ 4,393,000
2023 Omnibus Incentive Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, number of shares authorized	2,186
2023 Omnibus Incentive Plan \| Class A Common Stock
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, number of shares available for grant	1,817
Associate Stock Purchase Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Share-based compensation arrangement by share-based payment award, number of shares authorized				1,850	1,500
Share-based compensation arrangement by share-based payment award, number of shares available for grant	123
Share-based compensation arrangement by share-based payment award, maximum number of shares per employee (in shares)	5
Associate purchase price as percent of closing price	90.00%
Shares purchased by qualified associates (in shares)	59	53
Share price (in USD per share)	$ 72.53	$ 84.15
Savings Plan
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items]
Defined contribution plan, employer discretionary contribution amount	$ 9,837,000	$ 9,727,000	$ 9,481,000