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Benefit Plans - Narrative (Details)
1 Months Ended 12 Months Ended
Jul. 31, 2018
USD ($)
Mar. 31, 2017
USD ($)
Sep. 29, 2018
USD ($)
installment
shares
Sep. 30, 2017
USD ($)
$ / shares
shares
Oct. 01, 2016
USD ($)
$ / shares
shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based compensation expense     $ 18,000,000 $ 17,400,000 $ 19,300,000
Deferred tax benefits recognized related to equity awards     $ 8,200,000 0 0
Employer matching contribution, percent of eligible earnings (up to)     4.00%    
Amount of contributions     $ 8,100,000 7,500,000 7,400,000
SERP          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Deferred compensation liability     11,700,000 12,000,000  
Total value of assets held by trust     11,700,000 12,000,000  
Amount of contributions made to participants' SERP accounts     $ 1,000,000 1,200,000 500,000
Noncash settlement and re-investment amount due to change in trustee $ 11,300,000 $ 10,300,000      
Other Postretirement Benefit Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Term of deferred compensation agreements     15 years    
Deferred compensation liability     $ 200,000 300,000  
Total value of assets held by trust     10,000,000 9,700,000  
Amount of payments made to participants     $ 100,000 $ 400,000 $ 800,000
PSUs          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Performance period     3 years    
Unrecognized compensation expense     $ 7,700,000    
Unrecognized compensation expense, weighted average period of recognition     1 year 11 months 12 days    
Payout, percent of shares granted     100.00%    
Vested (in shares) | shares     100,000    
Granted (in shares) | shares     100,000 100,000 100,000
PSUs | Minimum          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting percentage     0.00%    
Number of shares that may be issued (in shares) | shares     0    
PSUs | Maximum          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting percentage     200.00%    
Number of shares that may be issued (in shares) | shares     400,000    
PSUs | Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting percentage     50.00%    
Payout, percent of shares granted     146.00%    
Payout at target, TSR threshold percent of companies in Russell 3000 Index during performance period     50.00%    
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]          
Vesting percentage     50.00%    
Payout at target, average economic return threshold percentage over performance period     2.50%    
Options and SARs          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Weighted average fair value per share (in dollars per share) | $ / shares       $ 15.66 $ 12.82
Fair value vested     $ 1,300,000 $ 3,500,000 $ 3,600,000
Total intrinsic value exercised     10,900,000 $ 10,200,000 $ 7,400,000
Unrecognized compensation expense     $ 100,000    
Unrecognized compensation expense, weighted average period of recognition     1 month 2 days    
RSUs          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Unrecognized compensation expense     $ 16,700,000    
Unrecognized compensation expense, weighted average period of recognition     1 year 4 months 6 days    
2016 Plan          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Maximum number of shares authorized under the plan (in shares) | shares     3,200,000    
2016 Plan | Cash Incentive Awards          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Long-term cash awards per employee that may be granted annually     $ 4,000,000    
2016 Plan | Stock Options          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of annual vesting installments | installment     2    
Term     10 years    
2016 Plan | SARs          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Number of annual vesting installments | installment     2    
Term     7 years    
2016 Plan | PSUs          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Performance period     3 years 3 years  
2016 Plan | PSUs | Vest Based on Market Condition - Relative TSR of Common Stock Compared to Companies in Russell 3000 Index          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Vesting percentage     50.00%    
2016 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]          
Vesting percentage     50.00%    
2016 Plan | RSUs          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Performance period     3 years