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Revenue from Contracts with Customers - Differences Due to Adoption Comprehensive Income (Details) - USD ($) $ in Millions	3 Months Ended				6 Months Ended
	Dec. 01, 2018	Sep. 01, 2018	Dec. 02, 2017	Sep. 02, 2017	Dec. 01, 2018	Dec. 02, 2017
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales	$ 652.6		$ 604.6		$ 1,277.3	$ 1,184.8
Cost of sales	417.0		382.5		816.6	745.8
Gross margin	235.6		222.1		460.7	439.0
Total operating expenses	182.5		171.7		361.6	339.1
Operating Earnings (Loss):	53.1		50.4		99.1	99.9
Income tax expense	11.2		14.3		20.0	28.5
Net earnings	39.3	$ 35.9	$ 33.5	$ 33.0	75.2	$ 66.5
Performance Obligation Change | Accounting Standards Update 2014-09
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales	(7.5)				(18.2)
Cost of sales	(4.1)				(9.9)
Gross margin	(3.4)				(8.3)
Total operating expenses	(0.1)				(0.2)
Operating Earnings (Loss):	(3.3)				(8.1)
Income tax expense	(0.6)				(1.7)
Net earnings	(2.7)				(6.4)
Gross vs. Net Change | Accounting Standards Update 2014-09
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales	(10.1)				(18.6)
Cost of sales	(10.1)				(18.6)
Legacy GAAP
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales	635.0				1,240.5
Cost of sales	402.8				788.1
Gross margin	232.2				452.4
Total operating expenses	182.4				361.4
Operating Earnings (Loss):	49.8				91.0
Income tax expense	10.6				18.3
Net earnings	$ 36.6				$ 68.8

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