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Revenue from Contracts with Customers - Differences Due to Adoption Comprehensive Income (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
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales	$ 619.0			$ 578.4			$ 1,896.2	$ 1,763.2
Cost of sales	398.0			372.6			1,214.5	1,118.5
Gross margin	221.0			205.8			681.7	644.7
Total operating expenses	173.2			167.1			534.8	506.1
Operating earnings	47.8			38.7			146.9	138.6
Income tax expense	7.3			6.9			27.3	35.4
Net earnings	39.3	$ 39.3	$ 35.8	$ 30.0	$ 33.5	$ 33.0	114.6	$ 96.5
Performance Obligation Change | Accounting Standards Update 2014-09
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales	7.4						(10.8)
Cost of sales	4.1						(6.0)
Gross margin	3.3						(4.8)
Total operating expenses	0.1						0.0
Operating earnings	3.2						(4.8)
Income tax expense	0.5						(1.1)
Net earnings	2.7						(3.7)
Gross vs. Net Change | Accounting Standards Update 2014-09
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales	(9.6)						(28.1)
Cost of sales	(9.6)						(28.1)
Legacy GAAP
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales	616.8						1,857.3
Cost of sales	392.5						1,180.4
Gross margin	224.3						676.9
Total operating expenses	173.3						534.8
Operating earnings	51.0						142.1
Income tax expense	7.8						26.2
Net earnings	$ 42.0						$ 110.9

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