Condensed Consolidating Financial Statements of Guarantors - Consolidated Balance Sheets (Condensed) (Details) - USD ($) $ in Millions	Mar. 31, 2017	Sep. 30, 2016	Mar. 31, 2016	Sep. 30, 2015
Assets, Current [Abstract]
Cash and cash equivalents	$ 1,484.9	$ 1,143.6	$ 868.2	$ 841.4
Restricted cash	6.2	8.4
Receivables, net	484.3	385.0
Inventories	513.0	503.1
Prepaid expenses and other current assets	36.7	36.8
Total Current Assets	2,525.1	2,076.9
Assets, Noncurrent [Abstract]
Property, net	1,345.8	1,354.4
Goodwill	3,125.9	3,079.7
Other intangible assets, net	2,807.2	2,833.7
Intercompany receivable	0.0	0.0
Intercompany notes receivable	0.0	0.0
Investment in subsidiaries	0.0	0.0
Other assets	21.6	15.9
Total Assets	9,825.6	9,360.6
Liabilities, Current [Abstract]
Current portion of long-term debt	4.5	12.3
Accounts payable	210.3	264.4
Other current liabilities	241.6	357.3
Total Current Liabilities	456.4	634.0
Liabilities, Noncurrent [Abstract]
Long-term debt	5,266.0	4,551.2
Intercompany payable	0.0	0.0
Intercompany notes payable	0.0	0.0
Deferred income taxes	814.0	726.5
Other liabilities	301.0	440.3
Total Liabilities	6,837.4	6,352.0
Total Shareholders’ Equity	2,988.2	3,008.6
Total Liabilities and Shareholders’ Equity	9,825.6	9,360.6
Parent Company
Assets, Current [Abstract]
Cash and cash equivalents	1,466.6	1,116.2	817.2	809.6
Restricted cash	1.0	1.0
Receivables, net	78.4	31.2
Inventories	0.0	0.0
Prepaid expenses and other current assets	6.3	3.5
Total Current Assets	1,552.3	1,151.9
Assets, Noncurrent [Abstract]
Property, net	0.0	0.0
Goodwill	0.0	0.0
Other intangible assets, net	0.0	0.0
Intercompany receivable	1,604.1	1,519.5
Intercompany notes receivable	147.0	149.1
Investment in subsidiaries	5,979.5	5,843.6
Other assets	13.6	9.3
Total Assets	9,296.5	8,673.4
Liabilities, Current [Abstract]
Current portion of long-term debt	3.8	11.0
Accounts payable	0.1	0.1
Other current liabilities	54.0	61.4
Total Current Liabilities	57.9	72.5
Liabilities, Noncurrent [Abstract]
Long-term debt	5,265.8	4,551.2
Intercompany payable	0.0	0.0
Intercompany notes payable	0.0	0.0
Deferred income taxes	792.7	703.8
Other liabilities	191.9	337.3
Total Liabilities	6,308.3	5,664.8
Total Shareholders’ Equity	2,988.2	3,008.6
Total Liabilities and Shareholders’ Equity	9,296.5	8,673.4
Guarantors
Assets, Current [Abstract]
Cash and cash equivalents	7.4	14.1	30.5	30.5
Restricted cash	4.5	6.7
Receivables, net	363.1	316.9
Inventories	435.2	435.3
Prepaid expenses and other current assets	29.1	31.5
Total Current Assets	839.3	804.5
Assets, Noncurrent [Abstract]
Property, net	1,308.6	1,314.9
Goodwill	2,995.3	2,949.0
Other intangible assets, net	2,723.1	2,745.0
Intercompany receivable	0.0	0.0
Intercompany notes receivable	0.0	0.0
Investment in subsidiaries	20.6	25.6
Other assets	8.0	6.6
Total Assets	7,894.9	7,845.6
Liabilities, Current [Abstract]
Current portion of long-term debt	0.7	1.3
Accounts payable	199.5	252.9
Other current liabilities	171.0	278.8
Total Current Liabilities	371.2	533.0
Liabilities, Noncurrent [Abstract]
Long-term debt	0.2	0.0
Intercompany payable	1,591.2	1,509.9
Intercompany notes payable	0.0	0.0
Deferred income taxes	0.0	0.0
Other liabilities	99.7	93.5
Total Liabilities	2,062.3	2,136.4
Total Shareholders’ Equity	5,832.6	5,709.2
Total Liabilities and Shareholders’ Equity	7,894.9	7,845.6
Non-Guarantors
Assets, Current [Abstract]
Cash and cash equivalents	24.8	28.6	27.1	19.2
Restricted cash	0.7	0.7
Receivables, net	50.1	50.6
Inventories	77.8	67.8
Prepaid expenses and other current assets	1.3	1.8
Total Current Assets	154.7	149.5
Assets, Noncurrent [Abstract]
Property, net	37.2	39.5
Goodwill	130.6	130.7
Other intangible assets, net	84.1	88.7
Intercompany receivable	0.0	0.0
Intercompany notes receivable	0.0	0.0
Investment in subsidiaries	0.0	0.0
Other assets	0.0	0.0
Total Assets	406.6	408.4
Liabilities, Current [Abstract]
Current portion of long-term debt	0.0	0.0
Accounts payable	31.9	40.4
Other current liabilities	16.6	17.1
Total Current Liabilities	48.5	57.5
Liabilities, Noncurrent [Abstract]
Long-term debt	0.0	0.0
Intercompany payable	12.9	9.6
Intercompany notes payable	147.0	149.1
Deferred income taxes	21.3	22.7
Other liabilities	9.4	9.5
Total Liabilities	239.1	248.4
Total Shareholders’ Equity	167.5	160.0
Total Liabilities and Shareholders’ Equity	406.6	408.4
Eliminations
Assets, Current [Abstract]
Cash and cash equivalents	(13.9)	(15.3)	$ (6.6)	$ (17.9)
Restricted cash	0.0	0.0
Receivables, net	(7.3)	(13.7)
Inventories	0.0	0.0
Prepaid expenses and other current assets	0.0	0.0
Total Current Assets	(21.2)	(29.0)
Assets, Noncurrent [Abstract]
Property, net	0.0	0.0
Goodwill	0.0	0.0
Other intangible assets, net	0.0	0.0
Intercompany receivable	(1,604.1)	(1,519.5)
Intercompany notes receivable	(147.0)	(149.1)
Investment in subsidiaries	(6,000.1)	(5,869.2)
Other assets	0.0	0.0
Total Assets	(7,772.4)	(7,566.8)
Liabilities, Current [Abstract]
Current portion of long-term debt	0.0	0.0
Accounts payable	(21.2)	(29.0)
Other current liabilities	0.0	0.0
Total Current Liabilities	(21.2)	(29.0)
Liabilities, Noncurrent [Abstract]
Long-term debt	0.0	0.0
Intercompany payable	(1,604.1)	(1,519.5)
Intercompany notes payable	(147.0)	(149.1)
Deferred income taxes	0.0	0.0
Other liabilities	0.0	0.0
Total Liabilities	(1,772.3)	(1,697.6)
Total Shareholders’ Equity	(6,000.1)	(5,869.2)
Total Liabilities and Shareholders’ Equity	$ (7,772.4)	$ (7,566.8)