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Fair Value of Financial Instruments Fair Value of Financial Instruments (Details) £ in Millions, $ in Millions |  |  | 12 Months Ended |  |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | ---
Jun. 12, 2017 USD ($) | Sep. 13, 2016 USD ($) | May 30, 2020 USD ($) | Jun. 01, 2019 USD ($) | Jun. 02, 2018 USD ($) | Jun. 03, 2017 USD ($) | Jun. 01, 2019 GBP (£) | Sep. 02, 2018 USD ($) | Jun. 03, 2018 USD ($) | Jun. 02, 2018 GBP (£) | Jun. 04, 2017 USD ($)
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Cumulative effect of accounting change |  |  |  |  |  |  |  |  | $ 1.9 |  | $ (0.2)
Derivative Liability, Notional Amount |  |  |  | $ 38.1 | $ 37.3 |  |  |  |  |  |
Derivative Asset, Notional Amount | £ |  |  |  |  |  |  | £ 19.2 |  |  | £ 19.9 |
Other Comprehensive Income (Loss), Derivatives Qualifying as Hedges, Net of Tax |  |  |  | (12.8) | 7.5 | $ 2.1 |  |  |  |  |
Equity Securities without Readily Determinable Fair Value, Upward Price Adjustment, Annual Amount |  |  |  | 2.1 | 0.0 | 0.0 |  |  |  |  |
Equity Securities without Readily Determinable Fair Value, Amount |  |  |  | $ 3.6 |  |  |  |  |  |  |
Interest rate swap agreement |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Derivative Asset, Notional Amount | $ 75.0 | $ 150.0 |  |  |  |  |  |  |  |  |
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 |  |  |  |  |  |  |  |  |  |  |
Derivative, Term of Contract |  |  |  | 30 days |  |  |  |  |  |  |
Quoted Prices With Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring [Member] | Interest rate swap agreement |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Derivative Liability, Notional Amount |  |  |  |  | 0.0 |  |  |  |  |  |
Interest Rate Swap Agreement |  |  |  | $ (1.2) |  |  |  |  |  |  |
Other Noncurrent Assets | Quoted Prices With Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring [Member] | Interest rate swap agreement |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Interest Rate Swap Agreement |  |  |  | 1.0 | 15.0 |  |  |  |  |  |
Other Noncurrent Liabilities | Quoted Prices With Other Observable Inputs (Level 2) | Fair Value, Measurements, Recurring [Member] | Interest rate swap agreement |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Interest Rate Swap Agreement |  |  |  | 2.2 | 0.0 |  |  |  |  |  |
Accumulated Other Comprehensive Income (Loss) |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Cumulative effect of accounting change |  |  |  |  |  |  |  |  | 1.4 |  |
Accumulated Net Gain (Loss) from Cash Flow Hedges Attributable to Parent |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Cumulative effect of accounting change |  |  |  |  |  |  |  | $ 1.5 |  |  |
Reclassification from Accumulated Other Comprehensive Income, Current Period, before Tax |  |  |  | $ 0.5 | $ 0.3 | $ 0.0 |  |  |  |  |
Accounting Standard Update 2016-01 | Accumulated Other Comprehensive Income (Loss) |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Cumulative effect of accounting change |  |  |  |  |  |  |  |  | $ 0.1 |  |
Scenario, Forecast |  |  |  |  |  |  |  |  |  |  |
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis |  |  |  |  |  |  |  |  |  |  |
Derivative Instruments, Gain (Loss) Reclassification from Accumulated OCI to Income, Estimated Net Amount to be Transferred |  |  | $ 0.3 |  |  |  |  |  |  |  |

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