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Stockholders' Equity and Stock Compensation Plans - Narrative (Details) - USD ($) | 12 Months Ended |
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Oct. 02, 2022 | Oct. 03, 2021 | Sep. 27, 2020 | Sep. 29, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Options granted in the period (in shares) | 0 | 0 |  |
Stock options exercised | $ 1,806,000 | $ 11,250,000 | $ 10,334,000 |
Stock-based compensation expense | 26,227,000 | 23,067,000 | 19,424,000 |
Income tax benefit realized from RSUs and PSUs | 5,377,000 | 4,910,000 | 4,318,000 |
Stock options |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Aggregate intrinsic value of options exercised | 5,700,000 | 29,400,000 | 22,400,000 |
Stock options exercised | 1,800,000 | 11,300,000 | 10,300,000 |
Income tax benefit realized from exercises of nonqualified stock options and disqualifying dispositions of qualified options | $ 1,300,000 | $ 6,700,000 | $ 4,900,000 |
RSUs |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Vesting period | 4 years |  |  |
Awards granted (in shares) | 77,844 | 117,934 | 167,525 |
Weighted-average grant date fair value (in dollars per share) | $ 184.61 | $ 122.02 | $ 83.92 |
Awards outstanding (in shares) | 299,055 | 381,000 | 444,000 | 470,000
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) | 41,734 | 57,542 | 74,011 |
Weighted-average grant date fair value (in dollars per share) | $ 247.16 | $ 153.03 | $ 99.85 |
Awards outstanding (in shares) | 272,000 | 318,000 | 355,000 | 384,000
RSUs and PSUs |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Unrecognized stock-based compensation cost | $ 35,900,000 |  |  |
Stock-based compensation expense | 23,900,000 | $ 20,900,000 | $ 17,700,000 |
Income tax benefit realized from RSUs and PSUs | $ 9,100,000 | 6,200,000 | 3,400,000 |
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) | 2,200,000 |  |  |
ESPP |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Available for future awards (in shares) | 380,784 |  |  |
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% |  |  |
Stock options exercised | $ 12,129,000 | 10,705,000 | 8,715,000 |
Stock-based compensation expense | 2,300,000 | 2,000,000 | $ 1,200,000 |
Unrecognized stock-based compensation cost | 600,000 | $ 500,000 |  |
Accumulated amount by participants to purchase the entity's common stock | $ 11,000,000 |  |  |
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% |  |  |

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