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Share-Based Compensation - Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Apr. 02, 2022
Apr. 03, 2021
Apr. 02, 2022
Apr. 03, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Share-based Compensation Expense $ 6,100 $ 6,500 $ 12,400 $ 11,800
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]        
Share-based Compensation Arrangement by Share-based Payment Award, Payout, Average Economic Return Threshold, Percent     2.50%  
PSUs | 2016 Omnibus Incentive Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Performance period     3 years  
PSUs | 2016 Omnibus Incentive Plan | Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index or S&P 400 Index        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting percentage     50.00%  
Share-based Compensation Arrangement by Share-based Payment Award, Total Shareholder Return Threshold, Percent     50.00%  
Share-based Compensation Arrangement by Share-based Payment Award, Payout, Percent of Shares Granted     100.00%  
PSUs | 2016 Omnibus Incentive Plan | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting percentage     50.00%  
Share-Based Compensation Arrangement by Share-Based Payment Award, Terms of Award     three  
Minimum | PSUs        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of shares that may be issued (in shares) 0   0  
Minimum | PSUs | Russell 3000 | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting percentage     0.00%  
Minimum | PSUs | S&P 400 | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting percentage     0.00%  
Maximum | PSUs        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Number of shares that may be issued (in shares) 500,000   500,000  
Maximum | PSUs | Russell 3000 | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting percentage     200.00%  
Maximum | PSUs | S&P 400 | Vest Based on Performance Condition - Three-Point Annual Average of Absolute Economic Return        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting percentage     150.00%