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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 3 Months Ended
Aug. 31, 2019
Sep. 01, 2018
Jun. 03, 2018
Accumulated Other Comprehensive Income (Loss)      
Balance at beginning of period $ 719.2 $ 664.8  
Foreign currency translation adjustments (9.3) (7.9)  
Cumulative effect of accounting change     $ 1.9
Other Comprehensive Income (Loss), Securities, Available-for-Sale, Unrealized Holding Gain (Loss) Arising During Period, after Tax 0.0 (0.1)  
Net current period other comprehensive income (17.4) (7.8)  
Interest rate swaps (8.8) (0.5)  
Balance at end of period 745.2 673.2  
Cumulative Translation Adjustments      
Accumulated Other Comprehensive Income (Loss)      
Balance at beginning of period (48.3) (34.1)  
Foreign currency translation adjustments (9.3) (7.9)  
Reclassification from accumulated other comprehensive loss - Other, net 0.0 0.0  
Tax benefit 0.0 0.0  
Net reclassifications 0.0 0.0  
Net current period other comprehensive income (9.3) (7.9)  
Balance at end of period (57.6) (42.0)  
Pension and Other Post-retirement Benefit Plans      
Accumulated Other Comprehensive Income (Loss)      
Balance at beginning of period (45.0) (37.2)  
Other comprehensive loss before reclassifications 0.0 0.0  
Reclassification from accumulated other comprehensive loss - Other, net 0.8 0.8  
Tax benefit (0.1) (0.1)  
Net reclassifications 0.7 0.7  
Net current period other comprehensive income 0.7 0.7  
Balance at end of period (44.3) (36.5)  
Unrealized Gains on Available-for-sale Securities      
Accumulated Other Comprehensive Income (Loss)      
Balance at beginning of period 0.0 0.1  
Cumulative effect of accounting change     (0.1)
Other Comprehensive Income (Loss), Securities, Available-for-Sale, Unrealized Holding Gain (Loss) Arising During Period, after Tax 0.0 (0.1)  
Reclassification from accumulated other comprehensive loss - Other, net 0.0 0.0  
Tax benefit 0.0 0.0  
Net reclassifications 0.0 0.0  
Net current period other comprehensive income 0.0 (0.1)  
Balance at end of period 0.0 (0.1)  
Interest Rate Swap Agreement      
Accumulated Other Comprehensive Income (Loss)      
Balance at beginning of period (0.9) 9.9  
Other comprehensive loss before reclassifications (9.0)    
Reclassification from accumulated other comprehensive loss - Other, net 0.2 0.0  
Tax benefit 0.0 0.0  
Net reclassifications 0.2 0.0  
Net current period other comprehensive income   (0.5)  
Balance at end of period (9.7) 9.4  
Accumulated Other Comprehensive Loss      
Accumulated Other Comprehensive Income (Loss)      
Balance at beginning of period (94.2) (61.3)  
Cumulative effect of accounting change     $ (0.1)
Other comprehensive loss before reclassifications (18.3) (8.5)  
Reclassification from accumulated other comprehensive loss - Other, net 1.0 0.8  
Tax benefit (0.1) (0.1)  
Net reclassifications 0.9 0.7  
Net current period other comprehensive income (17.4) (7.8)  
Balance at end of period $ (111.6) $ (69.2)