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Revenue from Contracts with Customers Differences Due to Adoption Comprehensive Income (Details) - USD ($) $ in Millions	3 Months Ended												12 Months Ended
	Jun. 01, 2019	Mar. 02, 2019	Dec. 01, 2018	Sep. 01, 2018	Jun. 02, 2018	Mar. 03, 2018	Dec. 02, 2017	Sep. 02, 2017	Jun. 03, 2017	Mar. 04, 2017	Dec. 03, 2016	Sep. 03, 2016	Jun. 01, 2019	Jun. 02, 2018	Jun. 03, 2017
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales													$ 2,567.2	$ 2,381.2	$ 2,278.2
Cost of sales													1,637.3	1,508.2	1,414.0
Gross margin	$ 248.2	$ 221.0	$ 235.6	$ 225.1	$ 228.3	$ 205.8	$ 222.1	$ 216.9	$ 220.9	$ 195.5	$ 218.0	$ 230.0	929.9	873.0	864.2
Total operating expenses													726.4	694.1	673.1
Operating earnings													203.5	178.9	191.1
Income tax expense													39.6	42.4	55.1
Net earnings													160.5	$ 128.1	$ 123.9
Performance Obligation Change \| Accounting Standards Update 2014-09
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales													(21.5)
Cost of sales													(12.8)
Gross margin													(8.7)
Total operating expenses													(0.1)
Operating earnings													(8.6)
Income tax expense													(1.5)
Net earnings													(7.1)
Gross vs Net Change \| Accounting Standards Update 2014-09
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales													(38.0)
Cost of sales													(38.0)
Legacy GAAP
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Net sales													2,507.7
Cost of sales													1,586.5
Gross margin													921.2
Total operating expenses													726.3
Operating earnings													194.9
Income tax expense													38.1
Net earnings													$ 153.4