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Fair Value of Financial Instruments Fair Value of Financial Instruments - Paranthetical (Details) - USD ($)
12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Jun. 03, 2018
Jun. 04, 2017
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis          
Cumulative effect of accounting change       $ 1,900,000 $ (200,000)
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    
Retained Earnings          
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis          
Cumulative effect of accounting change       500,000 $ 100,000
Retained Earnings | Accounting Standard Update 2016-01          
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis          
Cumulative effect of accounting change       $ 100,000