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Defined Contribution Plan (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 01, 2014
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Retirement Benefits [Abstract]        
Percentage of company match 100.00%      
Maximum percentage of eligible compensation 6.00%      
Charged to expense   $ 9.6 $ 9.5 $ 10.4