Segments (Schedule of Assets, Capital Expenditures, Net Sales, and Long-lived Assets from External Customers and Long-Lived Assets, by Geographical Areas) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Sep. 30, 2019	Jun. 30, 2019	Mar. 31, 2019	Dec. 31, 2018	Sep. 30, 2018	Jun. 30, 2018	Mar. 31, 2018	Dec. 31, 2017	Sep. 30, 2019	Sep. 30, 2018	Sep. 30, 2017
Revenues from External Customers and Long-Lived Assets [Line Items]
Assets	$ 5,449.6				$ 3,178.8				$ 5,449.6	$ 3,178.8
Restricted cash	0.0				1,246.2				0.0	1,246.2
Assets held for sale	791.7				0.0				791.7	0.0
Long Lived Tangible Assets	449.1				284.6				449.1	284.6
Capital Expenditures									55.1	24.2	$ 25.2
Net sales	719.0	$ 647.2	$ 556.4	$ 571.9	457.2	$ 392.8	$ 374.4	$ 573.3	2,494.5	1,797.7	1,755.7
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Long Lived Tangible Assets	275.6				123.0				275.6	123.0
Net sales									1,435.8	935.8	923.0
International
Revenues from External Customers and Long-Lived Assets [Line Items]
Net sales									1,058.7	861.9	832.7
Singapore
Revenues from External Customers and Long-Lived Assets [Line Items]
Long Lived Tangible Assets	67.3				69.9				67.3	69.9
United Kingdom
Revenues from External Customers and Long-Lived Assets [Line Items]
Long Lived Tangible Assets	46.7				50.1				46.7	50.1
Other International
Revenues from External Customers and Long-Lived Assets [Line Items]
Long Lived Tangible Assets	59.5				41.6				59.5	41.6
Segments
Revenues from External Customers and Long-Lived Assets [Line Items]
Assets	1,612.9				1,355.7				1,612.9	1,355.7
Capital Expenditures									55.1	24.2	25.2
Corporate
Revenues from External Customers and Long-Lived Assets [Line Items]
Assets	81.3				100.1				81.3	100.1
Segment Reconciling Items
Revenues from External Customers and Long-Lived Assets [Line Items]
Goodwill and other intangible assets, net	2,963.7				476.8				2,963.7	476.8
International | Segments
Revenues from External Customers and Long-Lived Assets [Line Items]
Assets	621.0				851.5				621.0	851.5
Capital Expenditures									12.4	8.0	7.8
Net sales									759.7	662.1	643.9
Americas | Segments
Revenues from External Customers and Long-Lived Assets [Line Items]
Assets	$ 991.9				$ 504.2				991.9	504.2
Capital Expenditures									42.7	16.2	17.4
Net sales									$ 1,734.8	$ 1,135.6	$ 1,111.8