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Employee Benefit Plans - Narrative (Details) | 3 Months Ended | 9 Months Ended |
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May 31, 2025 USD ($) RetirementPlan | May 25, 2024 USD ($) | May 31, 2025 USD ($) RetirementPlan | May 25, 2024 USD ($) | Aug. 31, 2024 USD ($)
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items] |  |  |  |  |
Contributions charged to expense under the plan | $ 3,900,000 | $ 5,100,000 | $ 11,700,000 | $ 15,200,000 |
Other (income) expense | $ (200,000) | 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 | 400,000 | $ 1,300,000 | 1,300,000 |
Non-qualified Deferred Compensation Plan |  |  |  |  |
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items] |  |  |  |  |
Amounts charged to expense related to the plans | 300,000 | $ 200,000 | 700,000 | $ 600,000 |
NQDC Plan assets | 4,400,000 |  | 4,400,000 |  | $ 3,300,000
NQDC Plan liabilities, current | $ 2,600,000 |  | $ 2,600,000 |  | $ 1,600,000

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