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Stockholders' Equity and Noncontrolling Interests - (Change in the Number of Shares of Common Stock Outstanding) (Details) - shares
3 Months Ended 9 Months Ended
Jan. 02, 2022
Jan. 01, 2023
Common Stock Outstanding Roll Forward    
Shares outstanding, beginning balance (in shares)   40,986,658
Purchase of treasury stock (in shares) (1,422,569) (358,365)
Shares issued towards equity-based compensation plans, net of equity awards surrendered for option price and taxes (in shares)   215,931
Shares outstanding, ending balance (in shares)   40,844,224