Accumulated Other Comprehensive Loss - Amounts Reclassified from Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Thousands		12 Months Ended
		Aug. 31, 2024	Aug. 26, 2023	Aug. 27, 2022
Accumulated Other Comprehensive Income Loss [Line Items]
Selling and administrative expenses	[1]	$ 522,586	$ 496,915	$ 451,243
Net income		145,474	103,674	$ 103,404
Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income Loss [Line Items]
Net income		72	77
Actuarial Losses | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income Loss [Line Items]
Selling and administrative expenses	[2]	(16)	(16)
Pension Benefit Liabilities, Net | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income Loss [Line Items]
Net income		(16)	(16)
Derivative Financial Instruments | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income Loss [Line Items]
Net income		88	93
Derivative Financial Instruments | Forward Contracts | Reclassification out of Accumulated Other Comprehensive Income
Accumulated Other Comprehensive Income Loss [Line Items]
Revenues	[3]	$ 88	$ 93

[1] Exclusive of depreciation of the Company’s property, plant and equipment and amortization of its intangible assets.

[2] Amounts included in selling and administrative expenses in the accompanying Consolidated Statements of Income.

[3] Amounts included in revenues in the accompanying Consolidated Statements of Income.