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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details)
$ in Thousands
 6 Months Ended
Oct. 02, 2022
USD ($)
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance $ 1,493,275
Ending balance 1,414,418
Pension funded status adjustment  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (12,637)
Before Reclassifications 0
Amounts Reclassified from AOCI 170
Ending balance (12,467)
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 (6,062)
Amounts Reclassified from AOCI (56)
Ending balance (3,155)
Foreign currency translation adjustment, gain (6,062)
Foreign currency translation adjustment  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (133,821)
Before Reclassifications (107,971)
Amounts Reclassified from AOCI 0
Ending balance (241,792)
Foreign currency translation adjustment, gain (107,971)
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 28,882
Foreign currency translation adjustment, gain 28,882
Foreign currency translation adjustment, tax 8,813
Accumulated other comprehensive (loss) income  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (143,495)
Before Reclassifications (114,033)
Amounts Reclassified from AOCI 114
Ending balance (257,414)
Foreign currency translation adjustment, gain $ (114,033)