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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details) - USD ($)
$ in Thousands
3 Months Ended
Jun. 30, 2024
Sep. 29, 2022
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance $ 1,757,072  
Ending balance 1,811,189  
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 (9,798)  
Before Reclassifications 0  
Ending balance (9,688)  
Foreign currency translation adjustment, gain 0  
Net unrealized gain (loss) on derivative instruments    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance 755  
Before Reclassifications 3,188  
Amounts Reclassified from AOCI 474  
Ending balance 4,417  
Foreign currency translation adjustment, gain 3,188  
Foreign currency translation adjustment    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance (195,808)  
Before Reclassifications (13,294)  
Amounts Reclassified from AOCI 0  
Ending balance (209,102)  
Foreign currency translation adjustment, gain (13,294)  
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 1,528  
Foreign currency translation adjustment, gain 1,528  
Foreign currency translation adjustment, tax 466  
Accumulated other comprehensive (loss) income    
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]    
Beginning balance (204,851)  
Before Reclassifications (10,106)  
Amounts Reclassified from AOCI 584  
Ending balance (214,373)  
Foreign currency translation adjustment, gain $ (10,106)