Accumulated Other Comprehensive Loss (Details) - USD ($)	3 Months Ended				6 Months Ended
	Nov. 30, 2019	Aug. 31, 2019	Dec. 01, 2018	Sep. 01, 2018	Nov. 30, 2019	Dec. 01, 2018	Sep. 02, 2018	Jun. 03, 2018
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period	$ 745,300,000	$ 719,200,000	$ 673,200,000	$ 664,800,000	$ 719,200,000	$ 664,800,000
Cumulative effect of accounting change							$ 0	$ 1,900,000
Foreign currency translation adjustments	13,700,000		(4,500,000)		4,400,000	(12,400,000)
Other Comprehensive Income (Loss), Securities, Available-for-Sale, Unrealized Holding Gain (Loss) Arising During Period, after Tax	0		0		0	(100,000)
Other Comprehensive Income (Loss), Derivatives Qualifying as Hedges, Net of Tax	3,400,000		1,000,000.0		(5,300,000)	500,000
Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI on Derivatives, before Tax	0		100,000		100,000	0
Net current period other comprehensive income	17,800,000	(17,300,000)	(3,100,000)	(7,800,000)	500,000	(10,900,000)
Balance at end of period	844,600,000	745,300,000	685,400,000	673,200,000	844,600,000	685,400,000
Cumulative Translation Adjustments
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period		(48,300,000)		(34,100,000)	(48,300,000)	(34,100,000)
Reclassification from accumulated other comprehensive loss - Other, net					0	0
Tax benefit					0	0
Net reclassifications					0	0
Net current period other comprehensive income					4,400,000	(12,400,000)
Balance at end of period	(43,900,000)		(46,500,000)		(43,900,000)	(46,500,000)
Pension and Other Post-retirement Benefit Plans
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period		(45,000,000.0)		(37,200,000)	(45,000,000.0)	(37,200,000)
Other comprehensive loss before reclassifications					0	0
Reclassification from accumulated other comprehensive loss - Other, net					1,700,000	1,300,000
Tax benefit					(300,000)	(200,000)
Net reclassifications					1,400,000	1,100,000
Net current period other comprehensive income					1,400,000	1,100,000
Balance at end of period	(43,600,000)		(36,100,000)		(43,600,000)	(36,100,000)
Unrealized Gains on Available-for-sale Securities
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period		0		100,000	0	100,000
Cumulative effect of accounting change								(100,000)
Reclassification from accumulated other comprehensive loss - Other, net					0	0
Tax benefit					0	0
Net reclassifications					0	0
Net current period other comprehensive income					0	(100,000)
Balance at end of period	0		(100,000)		0	(100,000)
Interest Rate Swap Agreement
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period		(900,000)		9,900,000	(900,000)	9,900,000
Cumulative effect of accounting change							1,500,000
Other comprehensive loss before reclassifications					(5,400,000)
Reclassification from accumulated other comprehensive loss - Other, net						0
Tax benefit					0	0
Net reclassifications					100,000	0
Net current period other comprehensive income					(5,300,000)	500,000
Balance at end of period	(6,200,000)		11,900,000		(6,200,000)	11,900,000
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period	(111,500,000)	(94,200,000)	(69,200,000)	(61,300,000)	(94,200,000)	(61,300,000)
Cumulative effect of accounting change			1,400,000			1,400,000	$ 1,500,000	$ (100,000)
Other comprehensive loss before reclassifications					(1,000,000.0)	(12,000,000.0)
Reclassification from accumulated other comprehensive loss - Other, net					1,800,000	1,300,000
Tax benefit					(300,000)	(200,000)
Net reclassifications					1,500,000	1,100,000
Net current period other comprehensive income	17,800,000	(17,300,000)	(3,100,000)	(7,800,000)	500,000	(10,900,000)
Balance at end of period	$ (93,700,000)	$ (111,500,000)	$ (70,800,000)	$ (69,200,000)	$ (93,700,000)	$ (70,800,000)