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Benefit Plans - Narrative (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 28, 2024
Sep. 30, 2023
Oct. 01, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation expense $ 30,300 $ 21,300 $ 23,300
Share-based compensation expense, accelerated cost $ 5,100    
Employer matching contribution, percent of eligible earnings (up to) 4.00%    
Amount of contributions made to 401K $ 9,600 9,800 9,300
SERP      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Amount of contributions made to participants' SERP accounts 1,000 900 $ 800
Total value of assets held by trust 15,400 12,400  
Deferred compensation liability 15,400 $ 12,400  
RSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation expense $ 24,300    
Unrecognized compensation expense, weighted average period of recognition 1 year 4 months 24 days    
PSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation expense $ 8,700    
Unrecognized compensation expense, weighted average period of recognition 1 year 9 months 18 days    
Vested (in shares) 100,000    
Granted (in shares) 100,000 100,000 100,000
PSUs | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares that may be issued (in shares) 0    
PSUs | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of shares that may be issued (in shares) 500,000    
PSUs | Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in S&P 400 Index      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Payout, Percent of Shares Granted 116.00%    
PSUs | Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in S&P 400 Index | Minimum | S&P 400      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting percentage 0.00%    
PSUs | Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in S&P 400 Index | Maximum | S&P 400      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting percentage 150.00%    
PSUs | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Payout, Percent of Shares Granted 153.00%    
Payout, Average Economic Return Threshold, Percent 2.50%    
PSUs | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting percentage 0.00%    
PSUs | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting percentage 200.00%    
2024 Omnibus Incentive Plan      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum number of shares authorized under the plan (in shares) 800,000    
2024 Omnibus Incentive Plan | RSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance period 3 years    
2024 Omnibus Incentive Plan | PSUs      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance period 3 years    
2024 Omnibus Incentive Plan | PSUs | Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in S&P 400 Index      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting percentage 50.00%    
Payout, Percent of Shares Granted 100.00%    
Total Shareholder Return Threshold, Percent 50.00%    
2024 Omnibus Incentive Plan | PSUs | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Performance period 3 years    
Vesting percentage 50.00%    
Terms of Award three