New Accounting Standards New Accounting Pronouncements or Change in Accounting Principle (Details) - USD ($) $ in Millions	Jun. 03, 2018	Jun. 04, 2017
Retained Earnings
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Cumulative effect of accounting change	$ 2.0	$ 0.2
Accumulated Other Comprehensive Loss
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Cumulative effect of accounting change	(0.1)	$ 0.0
Accounting Standard Update 2016-01 [Member] | Retained Earnings
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Cumulative effect of accounting change	0.1
Accounting Standard Update 2016-01 [Member] | Accumulated Other Comprehensive Loss
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Cumulative effect of accounting change	$ 0.1