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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Nov. 30, 2024
Aug. 31, 2024
Dec. 02, 2023
Sep. 02, 2023
Nov. 30, 2024
Dec. 02, 2023
Accumulated Other Comprehensive Income [Roll Forward]            
Balance at beginning of period $ 1,332.5 $ 1,385.1 $ 1,422.3 $ 1,432.6 $ 1,385.1 $ 1,432.6
Other comprehensive (loss) income, net of tax before reclassifications         (53.0) (4.0)
Reclassification from accumulated other comprehensive loss - Other, net         18.3 15.0
Tax benefit         (0.9) 0.0
Net reclassifications         17.4 15.0
Net current period other comprehensive (loss) income (29.8) (5.8) (0.6) 11.6 (35.6) 11.0
Balance at end of period 1,310.8 1,332.5 1,420.6 1,422.3 1,310.8 1,420.6
Accumulated Other Comprehensive Loss            
Accumulated Other Comprehensive Income [Roll Forward]            
Balance at beginning of period (98.5) (92.7) (83.5) (95.1) (92.7) (95.1)
Net current period other comprehensive (loss) income (29.8) (5.8) (0.6) 11.6    
Balance at end of period (128.3) (98.5) (84.1) (83.5) (128.3) (84.1)
Cumulative Translation Adjustments            
Accumulated Other Comprehensive Income [Roll Forward]            
Balance at beginning of period   (105.7)   (114.0) (105.7) (114.0)
Other comprehensive (loss) income, net of tax before reclassifications         (20.8) 11.2
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         (20.8) 11.2
Balance at end of period (126.5)   (102.8)   (126.5) (102.8)
Pension and Other Post-retirement Benefit Plans            
Accumulated Other Comprehensive Income [Roll Forward]            
Balance at beginning of period   (33.3)   (23.8) (33.3) (23.8)
Other comprehensive (loss) income, net of tax before reclassifications         0.0 0.0
Reclassification from accumulated other comprehensive loss - Other, net         3.8 (0.1)
Tax benefit         (0.9) 0.0
Net reclassifications         2.9 (0.1)
Net current period other comprehensive (loss) income         2.9 (0.1)
Balance at end of period (30.4)   (23.9)   (30.4) (23.9)
Interest Rate Swap Agreement            
Accumulated Other Comprehensive Income [Roll Forward]            
Balance at beginning of period   $ 46.3   $ 42.7 46.3 42.7
Other comprehensive (loss) income, net of tax before reclassifications         (32.2) (15.2)
Reclassification from accumulated other comprehensive loss - Other, net         14.5 15.1
Tax benefit         0.0 0.0
Net reclassifications         14.5 15.1
Net current period other comprehensive (loss) income         (17.7) (0.1)
Balance at end of period $ 28.6   $ 42.6   $ 28.6 $ 42.6