Stockholders' Equity and Stock Compensation Plans (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended
	Dec. 31, 2023	Jan. 01, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense	$ 7.6	$ 7.2
PSU's
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted (in shares)	55,836
Fair value of awards granted (in dollars per share)	$ 205.39
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 depending on the shareholder return relative to peer group of companies over vesting period	50.00%
RSU's
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Awards granted (in shares)	107,860
Fair value of awards granted (in dollars per share)	$ 164.27
RSU's | Executive officers and employees
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period	4 years
RSU's | Non-employee director
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period	1 year