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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details)
$ in Thousands
9 Months Ended
Jan. 03, 2021
USD ($)
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance $ 1,304,062
Ending balance 1,531,414
Pension funded status adjustment  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance 22,794
Before Reclassifications 0
Amounts Reclassified from AOCI (865)
Ending balance 21,929
Net unrealized (loss) gain on derivative instruments  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (5,923)
Before Reclassifications (411)
Amounts Reclassified from AOCI 6,120
Ending balance 608
Foreign currency translation adjustment  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (186,289)
Before Reclassifications (113,580)
Amounts Reclassified from AOCI 0
Ending balance (72,709)
Accumulated other comprehensive (loss) income  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (215,006)
Before Reclassifications 113,991
Amounts Reclassified from AOCI 6,985
Ending balance $ (94,030)