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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Thousands
 3 Months Ended 6 Months Ended
Oct. 01, 2023
Jul. 02, 2023
Oct. 01, 2023
Sep. 29, 2022
Dec. 23, 2021
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance $ 1,683,179 $ 1,603,881 $ 1,603,881    
Ending balance 1,663,381 1,683,179 1,663,381    
Cross currency fixed interest rate swaps | Designated as Hedging Instrument          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Derivative notional amount       $ 300,000 $ 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 $ 150,000  
Pension funded status adjustment          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance   (4,423) (4,423)    
Before Reclassifications 0        
Amounts Reclassified from AOCI 41        
Ending balance (4,382)   (4,382)    
Foreign currency translation adjustment, gain 0        
Net unrealized gain (loss) on derivative instruments          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance   1,411 1,411    
Ending balance 5,692   5,692    
Foreign currency translation adjustment          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance   (180,462) (180,462)    
Before Reclassifications (29,455) 2,192      
Amounts Reclassified from AOCI 0        
Ending balance (209,917)   (209,917)    
Foreign currency translation adjustment, gain (29,455) 2,192      
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     608    
Foreign currency translation adjustment, gain     608    
Foreign currency translation adjustment, tax     187    
Accumulated other comprehensive (loss) income          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance   $ (183,474) (183,474)    
Before Reclassifications (22,022)        
Amounts Reclassified from AOCI (3,111)        
Ending balance (208,607)   $ (208,607)    
Foreign currency translation adjustment, gain $ (22,022)