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Stockholders' Equity and Stock Compensation Plans (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Apr. 01, 2018
Apr. 02, 2017
Apr. 01, 2018
Apr. 02, 2017
Stockholders' Equity and Stock Compensation Plans        
Stock-based compensation expense $ 4.7 $ 3.4 $ 8.7 $ 6.6
Non-employee directors and executive officers        
Stockholders' Equity and Stock Compensation Plans        
Options granted (in shares)     170,222  
Exercise price of stock options granted (in dollars per share)     $ 47.95  
Weighted-average fair value of stock options granted (in dollars per share)     $ 14.79  
Stock options | Executive officers        
Stockholders' Equity and Stock Compensation Plans        
Vesting period     4 years  
Stock options | Non-employee director        
Stockholders' Equity and Stock Compensation Plans        
Vesting period     1 year  
Performance-based restricted stock        
Stockholders' Equity and Stock Compensation Plans        
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%  
Performance-based restricted stock | Non-employee directors and executive officers        
Stockholders' Equity and Stock Compensation Plans        
Vesting period     3 years  
Granted (in shares)     98,599  
Granted, fair value (in dollars per share)     $ 56.10  
Restricted stock units | Non-employee directors, executive officers and employees        
Stockholders' Equity and Stock Compensation Plans        
Granted (in shares)     189,651  
Granted, fair value (in dollars per share)     $ 48.01  
Restricted stock units | Non-employee director        
Stockholders' Equity and Stock Compensation Plans        
Vesting period     1 year  
Restricted stock units | Executive officers and employees        
Stockholders' Equity and Stock Compensation Plans        
Vesting period     4 years