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, 2019	May 26, 2018		May 25, 2019	May 26, 2018
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		$ 1,580,790	$ 1,544,401		$ 1,464,967	$ 1,453,192
Other comprehensive loss		(2,511)	(3,859)		(3,358)	(5,741)
Balance at end of period		1,609,696	1,429,421		1,609,696	1,429,421
Foreign Currency Translation
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(21,980)	(16,695)		(21,116)	(15,932)
Other comprehensive income (loss) before reclassification		(2,649)	(3,931)		(3,513)	(4,694)
Amounts reclassified from accumulated other comprehensive loss		0	0		0	0
Other comprehensive loss		(2,649)	(3,931)		(3,513)	(4,694)
Balance at end of period		(24,629)	(20,626)		(24,629)	(20,626)
Pension-related
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	(4,135)	(6,669)	[2]	(4,135)	(5,477)	[2]
Other comprehensive income (loss) before reclassification	[1]	0	0	[2]	0	0	[2]
Amounts reclassified from accumulated other comprehensive loss	[1]	0	0	[2]	0	(1,192)	[2]
Other comprehensive loss	[1]	0	0	[2]	0	(1,192)	[2]
Balance at end of period	[1]	(4,135)	(6,669)	[2]	(4,135)	(6,669)	[2]
Derivative Financial Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	[1]	109	(36)		92	(109)
Other comprehensive income (loss) before reclassification	[1]	184	106		277	165
Amounts reclassified from accumulated other comprehensive loss	[1]	(46)	(34)		(122)	(20)
Other comprehensive loss	[1]	138	72		155	145
Balance at end of period	[1]	247	36		247	36
Total Accumulated Other Comprehensive (Loss) Income
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period		(26,006)	(23,400)		(25,159)	(21,518)
Other comprehensive income (loss) before reclassification		(2,465)	(3,825)		(3,236)	(4,529)
Amounts reclassified from accumulated other comprehensive loss		(46)	(34)		(122)	(1,212)
Other comprehensive loss		(2,511)	(3,859)		(3,358)	(5,741)
Balance at end of period		$ (28,517)	$ (27,259)		$ (28,517)	$ (27,259)

[1] Amounts are shown net of tax.

[2] Activity represents the impact of the adoption of ASU 2018-02, “Reclassification of Certain Tax Effects from Accumulated Other Comprehensive Income”.