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Employee and Retiree Benefits - Deferred Compensation Narrative (Details) - USD ($)	12 Months Ended
	Aug. 31, 2024	Aug. 26, 2023	Aug. 27, 2022
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Matching contribution amount	$ 15,000,000.0	$ 13,400,000	$ 12,000,000.0
Employer discretionary contribution amount	$ 0		12,100,000
Key Employees | Non-Qualified Deferred Compensation Program (1981)
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Vesting age	55 years
Requisite service period	5 years
Requisite service period prior to December 1992	20 years
Deferred compensation expense	$ 400,000	500,000	$ 600,000
Officers and Managers | Supplemental Employee Retirement Plan (SERP)
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Contractual amount of years after retirement	15 years
Officers and Key Employees | Executive Deferred Compensation Plan 2007
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Maximum salary deferral	50.00%
Maximum cash incentive award deferral	100.00%
Deferred compensation assets	$ 2,200,000	$ 1,800,000

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- Definition

The compensation expense recognized during the period pertaining to the deferred compensation arrangement.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Topic 710
-SubTopic 10
-Name Accounting Standards Codification
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Carrying amount as of the balance sheet date of assets held under deferred compensation agreements.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 210
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-Name Accounting Standards Codification
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- Definition

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