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Employee Benefit Plans - Narrative (Details)
$ in Millions
3 Months Ended 6 Months Ended
Feb. 29, 2020
USD ($)
Retirement-Plan
Feb. 23, 2019
USD ($)
Feb. 29, 2020
USD ($)
Retirement-Plan
Feb. 23, 2019
USD ($)
Postemployment Benefits [Abstract]        
Contributions charged to expense under the plan $ 5.0 $ 4.3 $ 10.5 $ 8.8
Number of frozen non-contributory defined benefit pension plans | Retirement-Plan 2   2  
Amounts charged to expense (benefit) related to the plans $ (0.3) $ 0.5 $ 0.4 $ 1.1