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Fair Value of Financial Instruments Fair Value of Financial Instruments (Details) £ in Millions			12 Months Ended
	Jun. 12, 2017 USD ($)	Sep. 13, 2016 USD ($)	Jun. 02, 2018 USD ($)	Jun. 03, 2017 USD ($)	May 28, 2016 USD ($)	Jun. 02, 2018 GBP (£)	Jun. 03, 2017 GBP (£)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Unrealized holding gain on available for sale securities			$ 0	$ 100,000	$ 0
Unrealized Gain			200,000	100,000
Derivative Liability, Notional Amount			37,300,000	36,100,000
Derivative Asset, Notional Amount \| £						£ 19.9	£ 19.4
Gain (Loss) on Cash Flow Hedge Ineffectiveness, Net			0	0	0
Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI on Derivatives, Net of Tax				0	0
Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), after Reclassification and Tax, Parent			7,800,000	2,100,000	0
Other Comprehensive Income (Loss), Derivatives Qualifying as Hedges, Net of Tax			$ 7,500,000	2,100,000	$ 0
Interest Rate Swap
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Derivative Asset, Notional Amount	$ 75,000,000	$ 150,000,000
Debt Conversion, Converted Instrument, Rate	238.70%	1.949%
Foreign Exchange Forward \| Not Designated as Hedging Instrument
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Derivative, Term of Contract			30 days
Quoted Prices With Other Observable Inputs (Level 2) \| Fair Value, Measurements, Recurring [Member] \| Interest Rate Swap
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Interest Rate Swap Agreement				3,300,000
Other Noncurrent Assets [Member] \| Quoted Prices With Other Observable Inputs (Level 2) \| Fair Value, Measurements, Recurring [Member] \| Interest Rate Swap
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Interest Rate Swap Agreement			$ 15,000,000	$ 3,300,000