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Supplemental Operations and Cash Flow Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Supplemental Cash Flow Elements [Abstract]      
Advertising expense $ 22.6 $ 39.1 $ 33.0
Research and development expense 11.4 11.2 9.4
Interest paid 45.0 35.7 48.8
Income taxes paid $ 34.6 $ 12.0 $ 10.1