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Stockholders' Equity and Noncontrolling Interests - (Treasury Stock) (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 9 Months Ended
Jan. 02, 2022
Jan. 01, 2023
Jan. 02, 2022
Mar. 31, 2022
Equity [Abstract]        
Purchase of treasury stock (in shares) 1,422,569 358,365    
Treasury stock purchased during period, value $ 114,534 $ 22,907 $ 114,534  
Treasury stock, shares (in shares)   15,108,666   14,762,266
Treasury shares issued (in shares)   11,965    
Treasury shares issued (in dollars per share)   $ 62.55