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Stockholders' Equity and Stock Compensation Plans - Narrative (Details) |  |  | 12 Months Ended |
--- | --- | --- | --- | ---
Sep. 09, 2024 | Jul. 29, 2024 | Sep. 28, 2025 USD ($) $ / shares shares | Sep. 29, 2024 USD ($) $ / shares shares | Oct. 01, 2023 USD ($) $ / shares shares | Oct. 02, 2022 shares
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Conversion ratio | 5 | 5 |  |  |  |
Options granted in the period (in shares) | shares |  |  | 0 | 0 | 0 |
Stock options exercised |  |  | $ 469,000 | $ 3,067,000 | $ 626,000 |
Stock-based compensation expense |  |  | 33,946,000 | 31,155,000 | 28,607,000 |
Income tax benefit realized from RSUs and PSUs |  |  | 6,826,000 | 6,489,000 | 5,779,000 |
Stock options |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Aggregate intrinsic value of options exercised |  |  | 2,200,000 | 12,700,000 | 2,500,000 |
Stock options exercised |  |  | 500,000 | 3,100,000 | 600,000 |
Income tax benefit realized from exercises of nonqualified stock options and disqualifying dispositions of qualified options |  |  | $ 500,000 | $ 2,800,000 | $ 600,000 |
RSUs |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Vesting period |  |  | 4 years |  |  |
Awards granted (in shares) | shares |  |  | 490,144 | 723,420 | 525,410 |
Weighted-average grant date fair value (in dollars per share) | $ / shares |  |  | $ 40.23 | $ 33.14 | $ 31.27 |
Awards outstanding (in shares) | shares |  |  | 1,443,600 | 1,487,000 | 1,347,000 | 1,495,000
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) | shares |  |  | 236,928 | 279,180 | 281,070 |
Weighted-average grant date fair value (in dollars per share) | $ / shares |  |  | $ 40.44 | $ 41.08 | $ 39.10 |
Awards outstanding (in shares) | shares |  |  | 1,318,754 | 1,261,000 | 1,249,000 | 1,358,000
RSUs and PSUs |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Stock-based compensation expense |  |  | $ 31,400,000 | $ 29,100,000 | $ 26,200,000 |
Income tax benefit realized from RSUs and PSUs |  |  | 1,000,000 | 1,600,000 | 4,000,000 |
Unrecognized stock-based compensation cost |  |  | $ 47,400,000 |  |  |
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) | shares |  |  | 3 |  |  |
2018 EIP |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Available for future awards (in shares) | shares |  |  | 12,500,000 |  |  |
ESPP |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |
Available for future awards (in shares) | shares |  |  | 431,811 |  |  |
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 |  |  | $ 15,307,000 | 14,675,000 | 12,628,000 |
Stock-based compensation expense |  |  | 2,600,000 | 2,000,000.0 | $ 2,400,000 |
Unrecognized stock-based compensation cost |  |  | 700,000 | $ 500,000 |  |
Accumulated amount by participants to purchase the entity's common stock |  |  | $ 14,300,000 |  |  |

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