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Accumulated Other Comprehensive Loss (Details) - USD ($)
3 Months Ended 6 Months Ended
Dec. 02, 2017
Dec. 03, 2016
Dec. 02, 2017
Dec. 03, 2016
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     $ 587,700,000  
Balance at beginning of year and end of period $ 630,800,000 $ 568,600,000 630,800,000 $ 568,600,000
Cumulative Translation Adjustments        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     (36,800,000) (29,600,000)
Current period other comprehensive income     4,500,000 (10,400,000)
Tax (expense) benefit     0 0
Balance at beginning of year and end of period (32,300,000) (40,000,000.0) (32,300,000) (40,000,000.0)
Pension and Other Post-retirement Benefit Plans        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     (47,600,000) (34,900,000)
Current period other comprehensive income     2,100,000 1,100,000
Tax (expense) benefit     500,000 (500,000)
Balance at beginning of year and end of period (46,000,000.0) (33,300,000) (46,000,000.0) (33,300,000)
Unrealized Gains (Losses) on Available-for-sale-Securities        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     100,000 0
Current period other comprehensive income 0 0 0 0
Tax (expense) benefit     0 0
Balance at beginning of year and end of period 100,000 0 100,000 0
Interest Rate Swap Agreement        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     2,100,000 0
Current period other comprehensive income     1,500,000 6,400,000
Tax (expense) benefit     500,000 2,200,000
Balance at beginning of year and end of period 3,100,000 4,200,000 3,100,000 4,200,000
Accumulated Other Comprehensive income        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     (82,200,000) (64,500,000)
Current period other comprehensive income     8,100,000 (2,900,000)
Tax (expense) benefit     1,000,000.0 1,700,000
Balance at beginning of year and end of period $ (75,100,000) $ (69,100,000) $ (75,100,000) $ (69,100,000)