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Debt - (Credit Facility and Subsequent Amendments - Narrative) (Details)
3 Months Ended
Oct. 01, 2023
USD ($)
Jan. 02, 2022
USD ($)
Jun. 30, 2019
USD ($)
Mar. 31, 2023
USD ($)
Jan. 01, 2023
USD ($)
Jan. 02, 2022
CAD ($)
Mar. 31, 2019
USD ($)
Mar. 31, 2019
CAD ($)
Mar. 31, 2018
USD ($)
Line of Credit                  
Debt Instrument [Line Items]                  
Available lines of credit $ 772,599,000     $ 693,444,000          
Amended Credit Facility, due 2022 | Secured Debt                  
Debt Instrument [Line Items]                  
Debt instrument, face amount                 $ 150,000,000
Amended 2017 Term Loan | Secured Debt                  
Debt Instrument [Line Items]                  
Line of credit facility, maximum borrowing capacity             $ 449,105,000    
Change in face amount     $ (299,105,000)            
Amended 2017 Term Loan, Canadian Dollars | Secured Debt                  
Debt Instrument [Line Items]                  
Line of credit facility, maximum borrowing capacity             99,105,000 $ 133,050,000  
Amended 2017 Revolver | Line of Credit                  
Debt Instrument [Line Items]                  
Line of credit facility, maximum borrowing capacity             $ 700,000,000    
Second Amended Term Loan | Secured Debt                  
Debt Instrument [Line Items]                  
Debt instrument, face amount   $ 130,000,000              
Change in face amount   150,000,000              
Available lines of credit 198,038,000                
Second Amended Term Loan | Secured Debt | Redemption Period One                  
Debt Instrument [Line Items]                  
Debt instrument, periodic payment 2,606,000                
Second Amended Term Loan | Secured Debt | Redemption Period Two                  
Debt Instrument [Line Items]                  
Debt instrument, periodic payment 3,909,000                
Second Amended Term Loan | Secured Debt | Redemption Period Three                  
Debt Instrument [Line Items]                  
Debt instrument, periodic payment 5,211,000                
Second Amended Term Loan | Secured Debt | Debt Instrument, Redemption, Period Four                  
Debt Instrument [Line Items]                  
Debt instrument, periodic payment $ 156,345,000                
Second Amended Term Loan, Canadian Dollars | Secured Debt                  
Debt Instrument [Line Items]                  
Debt instrument, face amount   84,229,000       $ 106,440,000      
Third Amended Term Loan                  
Debt Instrument [Line Items]                  
Debt instrument, covenant, leverage ratio 4.50                
Debt instrument, covenant, leverage ratio 4.00                
Third Amended Term Loan | Minimum                  
Debt Instrument [Line Items]                  
Debt instrument, covenant, leverage ratio 4.00                
Debt instrument, covenant, leverage ratio 3.50                
Third Amended Term Loan | Maximum                  
Debt Instrument [Line Items]                  
Debt instrument, covenant, leverage ratio 4.25                
Consideration transferred $ 250,000,000                
Debt instrument, covenant, leverage ratio 4.25                
Third Amended Term Loan | Secured Debt                  
Debt Instrument [Line Items]                  
Line of credit facility, maximum borrowing capacity         $ 300,000,000        
Capitalized debt issuance costs         1,161,000        
Deferred asset         1,096,000        
Long-term debt         $ 300,000,000        
Third Amended Term Loan | Secured Debt | Secured Overnight Financing Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 1000.00%                
Third Amended Term Loan | Secured Debt | Secured Overnight Financing Rate | Net Leverage Ratio                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 1.50%                
Third Amended Term Loan | Secured Debt | Federal Funds Effective Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 0.50%                
Third Amended Term Loan | Secured Debt | Eurocurrency Base Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 1.00%                
Third Amended Term Loan | Secured Debt | Minimum                  
Debt Instrument [Line Items]                  
Commitment fee percentage 0.175%                
Third Amended Term Loan | Secured Debt | Minimum | Secured Overnight Financing Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 1.375%                
Third Amended Term Loan | Secured Debt | Minimum | Base Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 0.375%                
Third Amended Term Loan | Secured Debt | Maximum                  
Debt Instrument [Line Items]                  
Commitment fee percentage 0.35%                
Third Amended Term Loan | Secured Debt | Maximum | Secured Overnight Financing Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 2.50%                
Third Amended Term Loan | Secured Debt | Maximum | Base Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 1.50%                
Third Amended Term Loan | Secured Debt | Redemption Period One                  
Debt Instrument [Line Items]                  
Debt instrument, periodic payment $ 3,750,000                
Third Amended Term Loan | Secured Debt | Redemption Period Two                  
Debt Instrument [Line Items]                  
Debt instrument, periodic payment 5,625,000                
Third Amended Term Loan | Secured Debt | Redemption Period Three                  
Debt Instrument [Line Items]                  
Debt instrument, periodic payment 7,500,000                
Third Amended Term Loan | Secured Debt | Debt Instrument, Redemption, Period Four                  
Debt Instrument [Line Items]                  
Debt instrument, periodic payment $ 232,500,000                
Second Amended Credit Facility | Fourth Amended Credit Facility, due 2026                  
Debt Instrument [Line Items]                  
Percentage of capital stock collateralizing debt 65.00%                
Second Amended Credit Facility | Fourth Amended Credit Facility, due 2026 | Secured Overnight Financing Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 1.25%                
Second Amended Credit Facility | Fourth Amended Credit Facility, due 2026 | Federal Funds Effective Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 0.50%                
Second Amended Credit Facility | Fourth Amended Credit Facility, due 2026 | Eurocurrency Base Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 1.00%                
Second Amended Credit Facility | Fourth Amended Credit Facility, due 2026 | CDOR                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 0.50%                
Second Amended Credit Facility | Fourth Amended Credit Facility, due 2026 | Minimum | Secured Overnight Financing Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 1.125%                
Second Amended Credit Facility | Fourth Amended Credit Facility, due 2026 | Maximum | Secured Overnight Financing Rate                  
Debt Instrument [Line Items]                  
Basis spread on variable rate 2.25%                
Revolving Credit Facility | Amended Credit Facility, due 2022 | Line of Credit                  
Debt Instrument [Line Items]                  
Line of credit facility, maximum borrowing capacity                 $ 600,000,000
Revolving Credit Facility | Amended 2017 Revolver | Line of Credit                  
Debt Instrument [Line Items]                  
Change in borrowing capacity     $ 100,000,000            
Revolving Credit Facility | Second Amended Revolver | Line of Credit                  
Debt Instrument [Line Items]                  
Line of credit facility, maximum borrowing capacity   850,000,000              
Change in borrowing capacity   $ 150,000,000              
Available lines of credit $ 165,000,000                
Revolving Credit Facility | Fourth Amended Credit Facility | Fourth Amended Credit Facility, due 2026                  
Debt Instrument [Line Items]                  
Optional increase in line of credit maximum borrowing capacity $ 350,000,000