Stockholders' Equity and Stock Compensation Plans - Narrative (Details) - USD ($)	12 Months Ended
	Oct. 01, 2023	Oct. 02, 2022	Oct. 03, 2021	Sep. 27, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Options granted in the period (in shares)	0	0
Stock options exercised	$ 626,000	$ 1,806,000	$ 11,250,000
Stock-based compensation expense	28,607,000	26,227,000	23,067,000
Income tax benefit realized from RSUs and PSUs	5,779,000	5,377,000	4,910,000
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Aggregate intrinsic value of options exercised	2,500,000	5,700,000	29,400,000
Stock options exercised	600,000	1,800,000	11,300,000
Income tax benefit realized from exercises of nonqualified stock options and disqualifying dispositions of qualified options	$ 600,000	$ 1,300,000	$ 6,700,000
RSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period	4 years
Awards granted (in shares)	105,082	77,844	117,934
Weighted-average grant date fair value (in dollars per share)	$ 156.33	$ 184.61	$ 122.02
Awards outstanding (in shares)	269,424	299,000	381,000	444,000
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)	56,214	41,734	57,542
Weighted-average grant date fair value (in dollars per share)	$ 195.50	$ 247.16	$ 153.03
Awards outstanding (in shares)	249,880	272,000	318,000	355,000
RSUs and PSUs
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 26,200,000	$ 23,900,000	$ 20,900,000
Income tax benefit realized from RSUs and PSUs	4,000,000	9,100,000	6,200,000
Unrecognized stock-based compensation cost	$ 38,800,000
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)	2,700,000
ESPP
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Available for future awards (in shares)	282,350
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	$ 12,628,000	12,129,000	10,705,000
Stock-based compensation expense	2,400,000	2,300,000	$ 2,000,000
Unrecognized stock-based compensation cost	600,000	$ 600,000
Accumulated amount by participants to purchase the entity's common stock	$ 12,000,000