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Stockholders' Equity and Stock Compensation Plans - Narrative (Details) - USD ($)
12 Months Ended
Oct. 03, 2021
Sep. 27, 2020
Sep. 29, 2019
Sep. 30, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Options granted in the period (in shares) 0 0    
Stock options exercised $ 11,250,000 $ 10,334,000 $ 11,751,000  
Stock-based compensation expense 23,067,000 19,424,000 17,618,000  
Stock options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized stock-based compensation cost $ 100,000      
Weighted-average period to recognize the unrecognized compensation cost 1 year      
Aggregate intrinsic value of options exercised $ 29,400,000 22,400,000 20,400,000  
Stock options exercised 11,300,000 10,300,000 11,800,000  
Income tax benefit realized from exercises of nonqualified stock options and disqualifying dispositions of qualified options $ 12,900,000 $ 8,300,000 $ 6,400,000  
RSUs        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period 4 years      
Awards granted (in shares) 117,934 167,525 179,478  
Weighted-average grant date fair value (in dollars per share) $ 122.02 $ 83.92 $ 66.26  
Awards outstanding (in shares) 380,631 444,000 470,000 488,000
RSUs | Director        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period 1 year      
PSUs        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period 3 years      
Percentage of shares that ultimately vest depending on growth in diluted earnings per share 50.00%      
Percentage of shares that ultimately vest based on relative total shareholder return over the vesting period 50.00%      
Awards granted (in shares) 57,542 74,011 89,816  
Weighted-average grant date fair value (in dollars per share) $ 153.03 $ 99.85 $ 80.41  
Awards outstanding (in shares) 318,000 355,000 384,000 323,000
RSUs and PSUs        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Unrecognized stock-based compensation cost $ 31,600,000      
Stock-based compensation expense $ 20,900,000 $ 17,700,000 $ 15,400,000  
2015 EIP        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
The number every share or unit issued counts against aggregate share limit (in shares) 3      
2018 EIP        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Available for future awards (in shares) 2,300,000      
ESPP        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Available for future awards (in shares) 487,023      
Maximum amount that an employee can contribute during a purchase right period $ 5,000      
Exercise price as percentage of fair market value on the first day of purchase right period 100.00%      
Exercise price as percentage of fair market value on the last day of purchase right period 85.00%      
Unrecognized stock-based compensation cost $ 500,000 300,000    
Stock options exercised 10,705,000 8,715,000 6,844,000  
Stock-based compensation expense 2,000,000 $ 1,200,000 $ 900,000  
Accumulated amount by participants to purchase the entity's common stock $ 10,800,000      
Grant date prior to March 6, 2006 | 2005 EIP | Stock options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Vesting period 4 years      
Expiration period 10 years      
Grant date prior to March 6, 2006 | 2005 EIP | Stock options | First anniversary of grant date and monthly thereafter        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Percentage of vesting rights after specified period 25.00%      
Grant date on or after March 6, 2006 | 2005 EIP | Stock options        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Expiration period 8 years      
Grant date on or after March 6, 2006 | 2005 EIP | Stock options | Each anniversary of grant date        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Percentage of vesting rights after specified period 25.00%      
Grant date on or after March 6, 2006 | 2005 EIP | RSUs | Each anniversary of grant date        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Percentage of vesting rights after specified period 25.00%