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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
Sep. 28, 2025
Sep. 29, 2024
Sep. 28, 2025
Sep. 29, 2024
Sep. 29, 2022
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance $ 1,866,149 $ 1,811,189 $ 1,919,488 $ 1,757,072  
Ending balance 1,866,970 1,841,596 1,866,970 1,841,596  
Cross Currency Fixed Interest Rate Contract | Designated as Hedging Instrument          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Derivative notional amount 600   600   $ 150,000
Pension funded status adjustment          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance     (10,374)    
Before Reclassifications     0    
Amounts Reclassified from AOCI     245    
Ending balance (10,129)   (10,129)    
Net unrealized gain (loss) on derivative instruments          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance     (269)    
Before Reclassifications     (2,570)    
Amounts Reclassified from AOCI 1,516 (1,731) 2,084 (1,257)  
Ending balance (755)   (755)    
Foreign currency translation adjustment          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance     (236,836)    
Before Reclassifications     27,067    
Amounts Reclassified from AOCI     0    
Ending balance (209,769)   (209,769)    
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     39,411    
Foreign currency translation adjustment, tax     12,020    
Accumulated Other Comprehensive Income (Loss)          
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]          
Beginning balance (217,105) (214,373) (247,479) (204,851)  
Before Reclassifications     24,497    
Amounts Reclassified from AOCI     2,329    
Ending balance $ (220,653) $ (193,443) $ (220,653) $ (193,443)