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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 3 Months Ended
Aug. 28, 2021
Aug. 29, 2020
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance at beginning of period $ 849.6  
Other comprehensive (loss) income, net of tax before reclassifications (16.0) $ 30.1
Other comprehensive (loss) income, net of tax before reclassifications 0.0 (0.1)
Net current period other comprehensive (loss) income (14.7) 31.5
Balance at end of period 1,475.6  
Cumulative Translation Adjustments    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance at beginning of period (3.9) (56.0)
Other comprehensive (loss) income, net of tax before reclassifications (16.5) 27.5
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 (loss) income (16.5) 27.5
Balance at end of period (20.4) (28.5)
Pension and Other Post-retirement Benefit Plans    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance at beginning of period (50.4) (59.2)
Other comprehensive (loss) income, net of tax before reclassifications 0.0 0.0
Reclassification from accumulated other comprehensive loss - Other, net 2.5 1.4
Tax benefit (0.2) (0.2)
Net reclassifications 2.3 1.2
Net current period other comprehensive (loss) income 2.3 1.2
Balance at end of period (48.1) (58.0)
Unrealized Gains on Available-for-sale Securities    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance at beginning of period 0.0 0.1
Other comprehensive (loss) income, net of tax before reclassifications 0.0  
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 (loss) income 0.0 (0.1)
Balance at end of period 0.0 0.0
Interest Rate Swap Agreement    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance at beginning of period (10.8) (18.9)
Other comprehensive (loss) income, net of tax before reclassifications (0.2) 1.4
Reclassification from accumulated other comprehensive loss - Other, net (0.8) (1.1)
Tax benefit 0.0 0.0
Net reclassifications (0.8) (1.1)
Net current period other comprehensive (loss) income (1.0) 0.3
Balance at end of period (11.8) (18.6)
Accumulated Other Comprehensive Loss    
Accumulated Other Comprehensive Income (Loss) [Line Items]    
Balance at beginning of period (65.1) (134.0)
Other comprehensive (loss) income, net of tax before reclassifications (16.7) 28.8
Reclassification from accumulated other comprehensive loss - Other, net 1.7 0.3
Tax benefit (0.2) (0.2)
Net reclassifications 1.5 0.1
Net current period other comprehensive (loss) income (15.2) 28.9
Balance at end of period $ (80.3) $ (105.1)