Significant Accounting and Reporting Policies - Schedule of Finite-Lived Intangible Assets by Major Class (Details) - USD ($) $ in Millions	Jun. 02, 2018	Jun. 03, 2017
Finite-LIved Intangible Assets
Gross carrying value	$ 85.2	$ 83.3
Accumulated amortization	43.9	37.9
Finite-Lived Intangible Assets, Net	41.3	45.4
Patent and Trademarks
Finite-LIved Intangible Assets
Gross carrying value	22.4	20.5
Accumulated amortization	14.7	13.3
Finite-Lived Intangible Assets, Net	7.7	7.2
Customer Relationships
Finite-LIved Intangible Assets
Gross carrying value	55.3	55.3
Accumulated amortization	23.5	19.7
Finite-Lived Intangible Assets, Net	31.8	35.6
Other
Finite-LIved Intangible Assets
Gross carrying value	7.5	7.5
Accumulated amortization	5.7	4.9
Finite-Lived Intangible Assets, Net	$ 1.8	$ 2.6