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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 02, 2024
Dec. 02, 2023
Sep. 02, 2023
Mar. 04, 2023
Dec. 03, 2022
Sep. 03, 2022
Mar. 02, 2024
Mar. 04, 2023
Accumulated Other Comprehensive Income [Roll Forward]                
Balance at beginning of period $ 1,420.6 $ 1,422.3 $ 1,432.6 $ 1,434.3 $ 1,374.8 $ 1,427.1 $ 1,432.6 $ 1,427.1
Other comprehensive income (loss), net of tax before reclassifications             (16.3) (5.7)
Reclassification from accumulated other comprehensive loss - Other, net             22.8 7.5
Tax benefit             0.0 (0.2)
Net reclassifications             22.8 7.3
Net current period other comprehensive income (loss) (4.5) (0.6) 11.6 7.6 51.8 (57.8) 6.5 1.6
Balance at end of period 1,390.9 1,420.6 1,422.3 1,433.9 1,434.3 1,374.8 1,390.9 1,433.9
Accumulated Other Comprehensive Loss                
Accumulated Other Comprehensive Income [Roll Forward]                
Balance at beginning of period (84.1) (83.5) (95.1) (113.1) (164.9) (107.1) (95.1) (107.1)
Net current period other comprehensive income (loss) (4.5) (0.6) 11.6 7.6 51.8 (57.8)    
Balance at end of period (88.6) $ (84.1) (83.5) (105.5) $ (113.1) (164.9) (88.6) (105.5)
Cumulative Translation Adjustments                
Accumulated Other Comprehensive Income [Roll Forward]                
Balance at beginning of period     (114.0)     (93.9) (114.0) (93.9)
Other comprehensive income (loss), net of tax before reclassifications             7.9 (30.6)
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)             7.9 (30.6)
Balance at end of period (106.1)     (124.5)     (106.1) (124.5)
Pension and Other Post-retirement Benefit Plans                
Accumulated Other Comprehensive Income [Roll Forward]                
Balance at beginning of period     (23.8)     (36.9) (23.8) (36.9)
Other comprehensive income (loss), net of tax before reclassifications             0.0 0.0
Reclassification from accumulated other comprehensive loss - Other, net             (0.2) 0.6
Tax benefit             0.0 (0.2)
Net reclassifications             (0.2) 0.4
Net current period other comprehensive income (loss)             (0.2) 0.4
Balance at end of period (24.0)     (36.5)     (24.0) (36.5)
Interest Rate Swap Agreement                
Accumulated Other Comprehensive Income [Roll Forward]                
Balance at beginning of period     $ 42.7     $ 23.7 42.7 23.7
Other comprehensive income (loss), net of tax before reclassifications             (24.2) 24.9
Reclassification from accumulated other comprehensive loss - Other, net             23.0 6.9
Tax benefit             0.0 0.0
Net reclassifications             23.0 6.9
Net current period other comprehensive income (loss)             (1.2) 31.8
Balance at end of period $ 41.5     $ 55.5     $ 41.5 $ 55.5