Employee Benefit Plans - Narrative (Details)	3 Months Ended		6 Months Ended
	Feb. 25, 2023 USD ($) RetirementPlan	Feb. 26, 2022 USD ($)	Feb. 25, 2023 USD ($) RetirementPlan	Feb. 26, 2022 USD ($)
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Contributions charged to expense under the plan	$ 4,100,000	$ 3,900,000	$ 9,900,000	$ 9,500,000
Deferred compensation plan, employee or employer contribution charged to expense	$ 100,000	0	$ 200,000	0
SERP
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
Number of frozen non-contributory defined benefit pension plans | RetirementPlan	1		1
Amounts charged to expense related to the plans	$ 400,000	600,000	$ 900,000	1,300,000
Nonqualified Deferred Compensation Plan Member
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items]
NQDC Plan assets	$ 1,800,000	$ 0	$ 1,800,000	$ 0