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Debt - (Additional Information) (Details) - USD ($) $ in Thousands	3 Months Ended			6 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Jan. 02, 2022	Oct. 01, 2023	Oct. 02, 2022	Mar. 31, 2023
Debt Instrument [Line Items]
Short-term debt	$ 30,544			$ 30,544		$ 30,642
Short-term debt, weighted average interest rate	6.80%			6.80%		7.00%
Standby Letters of Credit
Debt Instrument [Line Items]
Stand by letters of credit	$ 3,633			$ 3,633		$ 3,565
Line of Credit
Debt Instrument [Line Items]
Available lines of credit	772,599			772,599		693,444
Outstanding amount	89,994			89,994		90,839
Second Amended Term Loan \| Secured Debt
Debt Instrument [Line Items]
Current portion of long-term debt	10,423			10,423
Available lines of credit	198,038			198,038
5.00% Senior Notes due 2023 \| Senior Notes
Debt Instrument [Line Items]
Current portion of long-term debt	15,000			15,000
Third And Fourth Amended Credit Facilities \| Fourth Amended Credit Facility, due 2026
Debt Instrument [Line Items]
Capitalized debt issuance costs			$ 2,952
Second Amended Credit Facility \| Secured Debt
Debt Instrument [Line Items]
Amortization expense relating to debt issuance costs and included in interest expense	410	$ 487		820	$ 974
Deferred issuance costs, net of accumulated amortization	$ 5,604			$ 5,604		$ 6,424
Second Amended Credit Facility \| Fourth Amended Credit Facility, due 2026
Debt Instrument [Line Items]
Debt issuance costs written off			$ 128