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Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended
--- | --- | ---
May 25, 2024 | May 27, 2023 | May 25, 2024 | May 27, 2023
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |  |  |
Balance at beginning of period |  | $ 2,049,685 | $ 1,955,088 | $ 2,003,960 | $ 1,915,871
Other comprehensive (loss) income |  | (592) | 768 | 130 | (2,372)
Balance at end of period |  | 2,075,608 | 1,976,851 | 2,075,608 | 1,976,851
Foreign Currency Translation |  |  |  |  |
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |  |  |
Balance at beginning of period |  | (25,736) | (28,054) | (26,504) | (24,803)
Other comprehensive income (loss) before reclassification |  | (598) | 762 | 170 | (2,489)
Amounts reclassified from accumulated other comprehensive loss |  | 0 | 0 | 0 | 0
Other comprehensive (loss) income |  | (598) | 762 | 170 | (2,489)
Balance at end of period |  | (26,334) | (27,292) | (26,334) | (27,292)
Pension-related |  |  |  |  |
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |  |  |
Balance at beginning of period | [1] | 2,582 | 452 | 2,582 | 452
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 (loss) income | [1] | 0 | 0 | 0 | 0
Balance at end of period | [1] | 2,582 | 452 | 2,582 | 452
Derivative Financial Instruments |  |  |  |  |
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |  |  |
Balance at beginning of period | [1] | 115 | 172 | 161 | 61
Other comprehensive income (loss) before reclassification | [1] | 30 | 31 | 28 | 186
Amounts reclassified from accumulated other comprehensive loss | [1] | (24) | (25) | (68) | (69)
Other comprehensive (loss) income | [1] | 6 | 6 | (40) | 117
Balance at end of period | [1] | 121 | 178 | 121 | 178
Accumulated Other Comprehensive Loss |  |  |  |  |
AOCI Attributable to Parent, Net of Tax [Roll Forward] |  |  |  |  |
Balance at beginning of period |  | (23,039) | (27,430) | (23,761) | (24,290)
Other comprehensive income (loss) before reclassification |  | (568) | 793 | 198 | (2,303)
Amounts reclassified from accumulated other comprehensive loss |  | (24) | (25) | (68) | (69)
Other comprehensive (loss) income |  | (592) | 768 | 130 | (2,372)
Balance at end of period |  | $ (23,631) | $ (26,662) | $ (23,631) | $ (26,662)
[1] | Amounts are shown net of tax

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