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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Mar. 03, 2018
Mar. 04, 2017
Mar. 03, 2018
Mar. 04, 2017
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     $ 587.7  
Other comprehensive income (loss) $ 8.5 $ 1.4 15.8 $ (3.2)
Balance at end of period 657.3 581.3 657.3 581.3
Cumulative Translation Adjustments        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     (36.8) (29.6)
Other comprehensive income (loss) before reclassifications     6.3 (10.8)
Reclassification from accumulated other comprehensive loss - Selling, general and administrative     0.0 0.0
Tax benefit (expense)     0.0 0.0
Net reclassifications     0.0 0.0
Other comprehensive income (loss)     6.3 (10.8)
Balance at end of period (30.5) (40.4) (30.5) (40.4)
Pension and Other Post-retirement Benefit Plans        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     (47.6) (34.9)
Other comprehensive income (loss) before reclassifications     0.0 0.0
Reclassification from accumulated other comprehensive loss - Selling, general and administrative     3.2 1.7
Tax benefit (expense)     (0.6) 0.4
Net reclassifications     2.6 2.1
Other comprehensive income (loss)     2.6 2.1
Balance at end of period (45.0) (32.8) (45.0) (32.8)
Unrealized Gains on Available-for-sale-Securities        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     0.1 0.0
Other comprehensive income (loss) before reclassifications     0.0 0.2
Reclassification from accumulated other comprehensive loss - Selling, general and administrative     0.0 0.0
Tax benefit (expense)     0.0 0.0
Net reclassifications     0.0 0.0
Other comprehensive income (loss)     0.0 0.2
Balance at end of period 0.1 0.2 0.1 0.2
Interest Rate Swap Agreement        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     2.1 0.0
Other comprehensive income (loss) before reclassifications     6.9 5.3
Reclassification from accumulated other comprehensive loss - Selling, general and administrative     0.0 0.0
Tax benefit (expense)     0.0 0.0
Net reclassifications     0.0 0.0
Other comprehensive income (loss)     6.9 5.3
Balance at end of period 9.0 5.3 9.0 5.3
Accumulated Other Comprehensive Loss        
Accumulated Other Comprehensive Income (Loss)        
Balance at beginning of year     (82.2) (64.5)
Other comprehensive income (loss) before reclassifications     13.2 (5.3)
Reclassification from accumulated other comprehensive loss - Selling, general and administrative     3.2 1.7
Tax benefit (expense)     (0.6) 0.4
Net reclassifications     2.6 2.1
Other comprehensive income (loss)     15.8 (3.2)
Balance at end of period $ (66.4) $ (67.7) $ (66.4) $ (67.7)