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Stockholders' Equity and Noncontrolling Interests - (Treasury Stock) (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 6 Months Ended
Oct. 03, 2021
Oct. 02, 2022
Oct. 03, 2021
Mar. 31, 2022
Equity [Abstract]        
Purchase of treasury stock (in shares) 329,008 358,365    
Treasury stock purchased during period, value $ 31,512 $ 22,907 $ 31,512  
Treasury stock, shares (in shares)   15,113,761   14,762,266
Treasury shares issued (in shares)   6,870    
Treasury shares issued (in dollars per share)   $ 62.55