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Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Millions	3 Months Ended						9 Months Ended
	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	Mar. 03, 2018	Dec. 02, 2017	Sep. 02, 2017	Mar. 02, 2019	Mar. 03, 2018	Sep. 02, 2018	Jun. 03, 2018	Sep. 03, 2017	Jun. 04, 2017
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period	$ 685.4	$ 673.2	$ 664.8	$ 631.0	$ 608.7	$ 587.7	$ 664.8	$ 587.7
Cumulative effect of accounting change										$ 1.9	$ (0.1)	$ (0.1)
Other comprehensive income (loss)	4.3	(3.1)	(7.8)	8.5	3.6	3.7	(6.6)	15.8
Balance at end of period	714.9	685.4	673.2	657.5	631.0	608.7	714.9	657.5
Cumulative Translation Adjustments
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period			(34.1)			(36.8)	(34.1)	(36.8)
Cumulative effect of accounting change										0.0
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax							0.0	0.0
Tax benefit							0.0	0.0
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax							0.0	0.0
Other comprehensive income (loss)							(4.4)	6.3
Balance at end of period	(38.5)			(30.5)			(38.5)	(30.5)
Pension and Other Post-retirement Benefit Plans
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period			(37.2)			(47.6)	(37.2)	(47.6)
Cumulative effect of accounting change										0.0
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax							0.0	0.0
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax							2.0	3.2
Tax benefit							(0.3)	(0.6)
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax							1.7	2.6
Other comprehensive income (loss)							1.7	2.6
Balance at end of period	(35.5)			(45.0)			(35.5)	(45.0)
Unrealized Gains on Available-for-sale Securities
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period			0.1			0.1	0.1	0.1
Cumulative effect of accounting change										(0.1)
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax							0.0	0.0
Tax benefit							0.0	0.0
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax							0.0	0.0
Other comprehensive income (loss)							0.0	0.0
Balance at end of period	0.0			0.1			0.0	0.1
Interest Rate Swap Agreement
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period			9.9			2.1	9.9	2.1
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax							(4.2)
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax							0.3	0.0
Tax benefit							0.0	0.0
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax							0.3	0.0
Other comprehensive income (loss)								6.9
Balance at end of period	7.5			9.0			7.5	9.0
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income (Loss)
Balance at beginning of period	(70.8)	(69.2)	(61.3)	(74.9)	(78.5)	(82.2)	(61.3)	(82.2)
Cumulative effect of accounting change	1.4						1.4		$ 1.5	$ (0.1)
Other Comprehensive Income (Loss), before Reclassifications, Net of Tax							(8.6)	13.2
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax							2.3	3.2
Tax benefit							(0.3)	(0.6)
Reclassification from Accumulated Other Comprehensive Income, Current Period, Net of Tax							2.0	2.6
Other comprehensive income (loss)	4.3	(3.1)	(7.8)	8.5	3.6	3.7	(6.6)	15.8
Balance at end of period	$ (66.5)	$ (70.8)	$ (69.2)	$ (66.4)	$ (74.9)	$ (78.5)	$ (66.5)	$ (66.4)
Reclassification out of Accumulated Other Comprehensive Income [Domain] | Interest Rate Swap Agreement
Accumulated Other Comprehensive Income (Loss)
Cumulative effect of accounting change									$ 1.5

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