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Derivative Financial Instruments - Narrative (Details)
$ in Thousands, £ in Millions
12 Months Ended
Oct. 02, 2022
USD ($)
Oct. 03, 2021
USD ($)
Sep. 27, 2020
USD ($)
Sep. 30, 2018
agreement
Dec. 31, 2022
Dec. 30, 2022
USD ($)
Dec. 30, 2022
GBP (£)
Derivative [Line Items]              
Gain (loss) on cash flow hedge valuations, net of tax $ 11,806 $ 6,117 $ (4,638)        
Forecast | RPS Group plc              
Derivative [Line Items]              
Derivative, forward exchange rate         1.0852    
Interest Rate Swap | Cash flow hedges | Derivatives designated as hedging instruments              
Derivative [Line Items]              
Notional amount $ 200,000            
Number of derivative agreements | agreement       5      
Fixed interest rate 2.79%            
Fair value of interest rate swap agreements $ 2,400            
Fair value of interest rate swap agreements   $ 9,400          
Loss to be reclassified during next twelve months 3,100            
Interest Rate Swap 1 | Cash flow hedges | Derivatives designated as hedging instruments              
Derivative [Line Items]              
Notional amount 40,000            
Interest Rate Swap 2 | Cash flow hedges | Derivatives designated as hedging instruments              
Derivative [Line Items]              
Notional amount 40,000            
Interest Rate Swap 3 | Cash flow hedges | Derivatives designated as hedging instruments              
Derivative [Line Items]              
Notional amount 40,000            
Interest Rate Swap 4 | Cash flow hedges | Derivatives designated as hedging instruments              
Derivative [Line Items]              
Notional amount 40,000            
Interest Rate Swap 5 | Cash flow hedges | Derivatives designated as hedging instruments              
Derivative [Line Items]              
Notional amount 40,000            
Foreign Exchange Contract | RPS Group plc              
Derivative [Line Items]              
Foreign currency forward contract, asset fair value $ 19,900            
Foreign Exchange Contract | Forecast | RPS Group plc              
Derivative [Line Items]              
Notional amount           $ 774,800 £ 714.0