Supplemental Operations and Cash Flow Information (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023
Supplemental Cash Flow Elements [Abstract]
Advertising expenses	$ 75.2	$ 61.3	$ 40.9
Research and development expense	16.0	14.3	12.0
Interest paid	68.3	59.6	66.6
Income taxes paid	$ 89.1	$ 93.2	$ 60.9