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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 3 Months Ended
Aug. 29, 2020
Aug. 31, 2019
Accumulated Other Comprehensive Income (Loss)    
Balance at beginning of period $ 643.0 $ 719.2
Foreign currency translation adjustments 30.1 (9.3)
Other Comprehensive Income (Loss), Securities, Available-for-Sale, Unrealized Holding Gain (Loss) Arising During Period, after Tax (0.1) 0.0
Net current period other comprehensive income (loss) 31.5 (17.4)
Balance at end of period 746.4 745.2
Cumulative Translation Adjustments    
Accumulated Other Comprehensive Income (Loss)    
Balance at beginning of period (56.0) (48.3)
Foreign currency translation adjustments 27.5 (9.3)
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 (loss) 27.5 (9.3)
Balance at end of period (28.5) (57.6)
Pension and Other Post-retirement Benefit Plans    
Accumulated Other Comprehensive Income (Loss)    
Balance at beginning of period (59.2) (45.0)
Other comprehensive income (loss), net of tax before reclassifications 0.0 0.0
Reclassification from accumulated other comprehensive loss - Other, net 1.4 0.8
Tax benefit (0.2) (0.1)
Net reclassifications 1.2 0.7
Net current period other comprehensive income (loss) 1.2 0.7
Balance at end of period (58.0) (44.3)
Unrealized Gains on Available-for-sale Securities    
Accumulated Other Comprehensive Income (Loss)    
Balance at beginning of period 0.1 0.0
Other Comprehensive Income (Loss), Securities, Available-for-Sale, Unrealized Holding Gain (Loss) Arising During Period, after Tax (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 (loss) (0.1) 0.0
Balance at end of period 0.0 0.0
Interest Rate Swap Agreement    
Accumulated Other Comprehensive Income (Loss)    
Balance at beginning of period (18.9) (0.9)
Other comprehensive income (loss), net of tax before reclassifications 1.4 (9.0)
Reclassification from accumulated other comprehensive loss - Other, net (1.1) 0.2
Tax benefit 0.0 0.0
Net reclassifications (1.1) 0.2
Net current period other comprehensive income (loss) 0.3 (8.8)
Balance at end of period (18.6) (9.7)
Accumulated Other Comprehensive Loss    
Accumulated Other Comprehensive Income (Loss)    
Balance at beginning of period (134.0) (94.2)
Other comprehensive income (loss), net of tax before reclassifications 28.8 (18.3)
Reclassification from accumulated other comprehensive loss - Other, net 0.3 1.0
Tax benefit (0.2) (0.1)
Net reclassifications 0.1 0.9
Net current period other comprehensive income (loss) 28.9 (17.4)
Balance at end of period $ (105.1) $ (111.6)