Accumulated Other Comprehensive Loss - Changes in Accumulated Other Comprehensive Loss by Component (Details) - USD ($) $ in Millions	3 Months Ended
	Dec. 31, 2023	Dec. 31, 2022
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	$ 3,743.4	$ 3,016.7
Other comprehensive income (loss)	60.4	64.3
Balance at end of period	3,787.1	3,200.6
Total accumulated other comprehensive loss, net of tax
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	(790.1)	(917.5)
Other comprehensive income (loss) before reclassifications	66.4	73.9
Amounts reclassified from accumulated other comprehensive loss	(6.1)	(9.6)
Other comprehensive income (loss)	60.3	64.3
Balance at end of period	(729.8)	(853.2)
Pension and other postretirement benefit plan adjustments, net of tax
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	(407.1)	(447.8)
Other comprehensive income (loss) before reclassifications	0.0	0.0
Amounts reclassified from accumulated other comprehensive loss	0.1	(0.5)
Other comprehensive income (loss)	0.1	(0.5)
Balance at end of period	(407.0)	(448.3)
Accumulated currency translation adjustments, net of tax
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	(364.9)	(465.0)
Other comprehensive income (loss) before reclassifications	84.1	85.9
Amounts reclassified from accumulated other comprehensive loss	0.0	0.0
Other comprehensive income (loss)	84.1	85.9
Balance at end of period	(280.8)	(379.1)
Net unrealized losses on cash flow hedges, net of tax
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Balance at beginning of period	(18.1)	(4.7)
Other comprehensive income (loss) before reclassifications	(17.7)	(12.0)
Amounts reclassified from accumulated other comprehensive loss	(6.2)	(9.1)
Other comprehensive income (loss)	(23.9)	(21.1)
Balance at end of period	$ (42.0)	$ (25.8)