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