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Employee Benefit Plans - Narrative (Details) $ in Millions | 3 Months Ended |
--- | --- | ---
Nov. 25, 2023 USD ($) RetirementPlan | Nov. 26, 2022 USD ($) | Aug. 26, 2023 USD ($)
Defined Benefit Plans and Other Postretirement Benefit Plans Table Text Block [Line Items] |  |  |
Contributions charged to expense under the plan | $ 4.6 | $ 5.8 |
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 |  |
Amounts charged to expense related to the plans | $ 0.4 | 0.4 |
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 | 0.2 | $ 0.1 |
NQDC Plan assets | 2.2 |  | $ 2.0
NQDC Plan liabilities | $ 0.7 |  | $ 0.5

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- Definition Amount of cost for defined contribution plan. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 715 -SubTopic 70 -Name Accounting Standards Codification -Section 50 -Paragraph 1 -Publisher FASB -URI https://asc.fasb.org//1943274/2147480794/715-70-50-1 + Details
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