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Comprehensive Income, Accumulated Other Comprehensive Loss, Net of Related Tax (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Oct. 01, 2023
Jul. 02, 2023
Apr. 02, 2023
Oct. 02, 2022
Jul. 03, 2022
Apr. 03, 2022
Oct. 01, 2023
Oct. 02, 2022
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]                
Balance at beginning of period [1]     $ 1,579.5       $ 1,579.5  
Total other comprehensive income (loss), net of tax $ (21.0) $ (25.2) 8.1 $ (44.0) $ (42.8) $ (3.9) (38.1) $ (90.8)
Balance at end of period [2] 1,589.1           1,589.1  
Accumulated Other Comprehensive Loss [Member]                
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]                
Balance at beginning of period     (366.5)       (366.5)  
Other comprehensive loss before reclassifications             (37.0)  
Amounts reclassified from AOCI             1.3  
Total other comprehensive income (loss), net of tax (19.4) $ (24.0) 7.7 $ (42.9) $ (40.9) $ (4.0) (35.7)  
Balance at end of period (402.2)           (402.2)  
Foreign Currency Translation Adjustment [Member]                
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]                
Balance at beginning of period     (345.7)       (345.7)  
Other comprehensive loss before reclassifications             (35.8)  
Amounts reclassified from AOCI             0.0  
Total other comprehensive income (loss), net of tax             (35.8)  
Balance at end of period (381.5)           (381.5)  
Unrecognized Pension Costs [Member]                
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]                
Balance at beginning of period     (34.4)       (34.4)  
Other comprehensive loss before reclassifications             0.0  
Amounts reclassified from AOCI             1.3  
Total other comprehensive income (loss), net of tax             1.3  
Balance at end of period (33.1)           (33.1)  
Net Gain (Loss) on Derivative Instruments [Member]                
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]                
Balance at beginning of period     $ 13.6       13.6  
Other comprehensive loss before reclassifications             (1.2)  
Amounts reclassified from AOCI             0.0  
Total other comprehensive income (loss), net of tax             (1.2)  
Balance at end of period $ 12.4           $ 12.4  
[1] Condensed from audited financial statements
[2] Unaudited