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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Mar. 01, 2025
Nov. 30, 2024
Aug. 31, 2024
Mar. 02, 2024
Dec. 02, 2023
Sep. 02, 2023
Mar. 01, 2025
Mar. 02, 2024
Accumulated Other Comprehensive Income [Roll Forward]                
Balance at beginning of period $ 1,310.8 $ 1,332.5 $ 1,385.1 $ 1,420.6 $ 1,422.3 $ 1,432.6 $ 1,385.1 $ 1,432.6
Other comprehensive (loss) income, net of tax before reclassifications             (79.8) (16.3)
Reclassification from accumulated other comprehensive loss - Other, net             24.0 22.8
Tax benefit             (1.0) 0.0
Net reclassifications             23.0 22.8
Net current period other comprehensive (loss) income (21.2) (29.8) (5.8) (4.5) (0.6) 11.6 (56.8) 6.5
Balance at end of period 1,254.1 1,310.8 1,332.5 1,390.9 1,420.6 1,422.3 1,254.1 1,390.9
Accumulated Other Comprehensive Loss                
Accumulated Other Comprehensive Income [Roll Forward]                
Balance at beginning of period (128.3) (98.5) (92.7) (84.1) (83.5) (95.1) (92.7) (95.1)
Net current period other comprehensive (loss) income (21.2) (29.8) (5.8) (4.5) (0.6) 11.6    
Balance at end of period (149.5) $ (128.3) (98.5) (88.6) $ (84.1) (83.5) (149.5) (88.6)
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             (37.6) 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 (loss) income             (37.6) 7.9
Balance at end of period (143.3)     (106.1)     (143.3) (106.1)
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             3.9 (0.2)
Tax benefit             (1.0) 0.0
Net reclassifications             2.9 (0.2)
Net current period other comprehensive (loss) income             2.9 (0.2)
Balance at end of period (30.4)     (24.0)     (30.4) (24.0)
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             (42.2) (24.2)
Reclassification from accumulated other comprehensive loss - Other, net             20.1 23.0
Tax benefit             0.0 0.0
Net reclassifications             20.1 23.0
Net current period other comprehensive (loss) income             (22.1) (1.2)
Balance at end of period $ 24.2     $ 41.5     $ 24.2 $ 41.5