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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Thousands
 9 Months Ended
Jan. 01, 2023
Sep. 29, 2022
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance $ 1,493,275  
Ending balance 1,531,346  
Cross currency fixed interest rate swaps | Designated as Hedging Instrument    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Derivative notional amount 300 $ 300,000
Cross Currency Fixed Interest Rate Contract | Designated as Hedging Instrument    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Derivative notional amount 150 $ 150,000
Pension funded status adjustment    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance (12,637)  
Before Reclassifications 0  
Amounts Reclassified from AOCI 254  
Ending balance (12,383)  
Foreign currency translation adjustment, gain 0  
Net unrealized gain (loss) on derivative instruments    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance 2,963  
Before Reclassifications 2,841  
Amounts Reclassified from AOCI 1,847  
Ending balance 7,651  
Foreign currency translation adjustment, gain 2,841  
Foreign currency translation adjustment    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance (133,821)  
Before Reclassifications (47,515)  
Amounts Reclassified from AOCI 0  
Ending balance (181,336)  
Foreign currency translation adjustment, gain (47,515)  
Foreign currency translation adjustment | Cross currency fixed interest rate swaps | Net investment hedges | Designated as Hedging Instrument    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Before Reclassifications 20,543  
Foreign currency translation adjustment, gain 20,543  
Foreign currency translation adjustment, tax 6,266  
Accumulated other comprehensive (loss) income    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance (143,495)  
Before Reclassifications (44,674)  
Amounts Reclassified from AOCI 2,101  
Ending balance (186,068)  
Foreign currency translation adjustment, gain $ (44,674)