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Significant Accounting and Reporting Policies - Phantom (Details) - USD ($) $ in Millions		12 Months Ended
	Jun. 04, 2018	Jun. 02, 2018	Jun. 03, 2017	May 28, 2016	May 30, 2015
Patent and Trademarks
Schedule of Useful Lives and Amortization [Line Items]
Useful Life		6 years
Patents
Schedule of Useful Lives and Amortization [Line Items]
Useful Life		6 years
Trademarks
Schedule of Useful Lives and Amortization [Line Items]
Useful Life		6 years
Retained Earnings
Schedule of Useful Lives and Amortization [Line Items]
Cumulative effect of accounting change			$ 0.1	$ 0.0	$ 0.0
Additional Paid-in-Capital
Schedule of Useful Lives and Amortization [Line Items]
Cumulative effect of accounting change			$ (0.3)	$ 0.0	$ 0.0
Accounting Standards Update 2016-09 | Retained Earnings
Schedule of Useful Lives and Amortization [Line Items]
Cumulative effect of accounting change		$ 0.1
Accounting Standards Update 2016-09 | Additional Paid-in-Capital
Schedule of Useful Lives and Amortization [Line Items]
Cumulative effect of accounting change		(0.3)
Other Noncurrent Assets [Member] | Accounting Standards Update 2016-09
Schedule of Useful Lives and Amortization [Line Items]
Cumulative effect of accounting change		$ 0.2
Forecast
Schedule of Useful Lives and Amortization [Line Items]
New Accounting Pronouncement or Change in Accounting Principle, Effect of Adoption, Quantification	$ 2.0

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