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Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Feb. 28, 2026
Mar. 01, 2025
Feb. 28, 2026
Mar. 01, 2025
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Balance at beginning of period $ 2,162,598 $ 2,133,647 $ 2,168,957 $ 2,108,511
Other comprehensive income (loss) 3,852 (4,413) 1,745 (9,308)
Balance at end of period 2,183,292 2,143,556 2,183,292 2,143,556
Foreign Currency Translation        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Balance at beginning of period (28,061) (30,902) (25,956) (25,966)
Other comprehensive income (loss) before reclassification 3,881 (4,438) 1,776 (9,374)
Amounts reclassified from accumulated other comprehensive loss 0 0 0 0
Other comprehensive income (loss) 3,881 (4,438) 1,776 (9,374)
Balance at end of period (24,180) (35,340) (24,180) (35,340)
Pension-related        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Balance at beginning of period [1] 4,111 2,234 4,111 2,234
Other comprehensive income (loss) before reclassification [1] 0 0 0 0
Amounts reclassified from accumulated other comprehensive loss [1] 0 0 0 0
Other comprehensive income (loss) [1] 0 0 0 0
Balance at end of period [1] 4,111 2,234 4,111 2,234
Derivative Financial Instruments        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Balance at beginning of period [1] 58 129 60 88
Other comprehensive income (loss) before reclassification [1] (8) 66 19 138
Amounts reclassified from accumulated other comprehensive loss [1] (21) (41) (50) (72)
Other comprehensive income (loss) [1] (29) 25 (31) 66
Balance at end of period [1] 29 154 29 154
Accumulated Other Comprehensive Loss        
AOCI Attributable to Parent, Net of Tax [Roll Forward]        
Balance at beginning of period (23,892) (28,539) (21,785) (23,644)
Other comprehensive income (loss) before reclassification 3,873 (4,372) 1,795 (9,236)
Amounts reclassified from accumulated other comprehensive loss (21) (41) (50) (72)
Other comprehensive income (loss) 3,852 (4,413) 1,745 (9,308)
Balance at end of period $ (20,040) $ (32,952) $ (20,040) $ (32,952)
[1] Amounts are shown net of tax