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Stockholders' Equity and Noncontrolling Interests - (Components of Accumulated Other Comprehensive Income) (Details)
$ in Thousands
 9 Months Ended
Jan. 02, 2022
USD ($)
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance $ 1,543,576
Ending balance 1,508,014
Pension funded status adjustment  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (20,947)
Before Reclassifications 0
Amounts Reclassified from AOCI 689
Ending balance (20,258)
Foreign currency translation adjustment, loss 0
Net unrealized gain (loss) on derivative instruments  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance 360
Before Reclassifications 7,592
Amounts Reclassified from AOCI (6,714)
Ending balance 1,238
Foreign currency translation adjustment, loss (7,592)
Foreign currency translation adjustment  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (95,296)
Before Reclassifications (26,671)
Amounts Reclassified from AOCI 0
Ending balance (121,967)
Foreign currency translation adjustment, loss 26,671
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 (4,302)
Foreign currency translation adjustment, loss 4,302
Foreign currency translation adjustment, tax 1,316
Accumulated other comprehensive (loss) income  
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Beginning balance (115,883)
Before Reclassifications (19,079)
Amounts Reclassified from AOCI (6,025)
Ending balance (140,987)
Foreign currency translation adjustment, loss $ 19,079