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Long-Term Debt Additional Details (Details)
€ in Millions, $ in Millions, ¥ in Billions
3 Months Ended 9 Months Ended 12 Months Ended
Jun. 30, 2019
USD ($)
Mar. 31, 2019
USD ($)
Dec. 31, 2017
USD ($)
Jun. 30, 2019
JPY (¥)
Sep. 30, 2019
USD ($)
Sep. 30, 2018
USD ($)
Sep. 30, 2017
USD ($)
Jun. 30, 2019
EUR (€)
Mar. 31, 2019
JPY (¥)
Sep. 30, 2016
USD ($)
Debt Instrument [Line Items]                    
Long-term Debt, Maturities, Repayments of Principal in Next Twelve Months         $ 501.0          
Long-term Debt, Maturities, Repayments of Principal in Year Two         1,075.0          
Long-term Debt, Maturities, Repayments of Principal in Year Three         425.0          
Long-term Debt, Maturities, Repayments of Principal in Year Four         1,001.0          
Long-term Debt, Maturities, Repayments of Principal in Year Five         485.0          
Long-term Debt, Maturities, Repayments of Principal after Year Five         3,753.0          
Interest Paid, Excluding Capitalized Interest, Operating Activities         369.0 $ 401.0 $ 432.0      
Debt tender offer to purchase up to $1.5 billion in aggregate principal $ 1,500.0                  
Total Consideration of Debt Tender Offer 1,600.0                  
Gain (Loss) on Extinguishment of Debt (60.0)       $ (60.0) 0.0 $ 0.0      
Tyco International Holding S.a.r.L. (TSarL) [Member]                    
Debt Instrument [Line Items]                    
Long-term Debt           4,000.0       $ 4,000.0
Repayments of Debt     $ 1,900.0              
5.25 percent due 2041 [Domain] | Notes Payable to Banks [Member]                    
Debt Instrument [Line Items]                    
Debt Instrument, Repurchased Face Amount $ 2.5                  
Debt Instrument, Interest Rate, Stated Percentage 5.25%             5.25%    
LIBOR plus One Point Two Five Percent Due in Two Thousand Twenty [Member] | Tyco International Holding S.a.r.L. (TSarL) [Member]                    
Debt Instrument [Line Items]                    
Long-term Debt           $ 364.0        
Floating rate term loan [Domain] | Notes Payable to Banks [Member]                    
Debt Instrument [Line Items]                    
Debt instrument, face amount | ¥                 ¥ 35  
Repayments of Debt | ¥       ¥ 10            
1.375 percent due 2025 [Domain] | Notes Payable to Banks [Member]                    
Debt Instrument [Line Items]                    
Debt Instrument, Repurchased Face Amount | €               € 4.7    
Debt Instrument, Interest Rate, Stated Percentage 1.375%             1.375%    
3.9 percent due 2026 [Member] | Notes Payable to Banks [Member]                    
Debt Instrument [Line Items]                    
Debt Instrument, Repurchased Face Amount   $ 12.0                
Debt Instrument, Interest Rate, Stated Percentage   3.90%             3.90%  
Revolving Credit Facility [Member] | 250 million USD maturing in Mar 2019 [Member]                    
Debt Instrument [Line Items]                    
Debt Instrument, Term   364 days                
Line of Credit Facility, Borrowing Capacity, Expired   $ 250.0                
Revolving Credit Facility [Member] | 150 million USD maturing in Feb 2019 [Member]                    
Debt Instrument [Line Items]                    
Debt Instrument, Term   364 days                
Line of Credit Facility, Borrowing Capacity, Expired   $ 150.0                
Revolving Credit Facility [Member] | 200 million USD maturing in Jan 2019 [Member]                    
Debt Instrument [Line Items]                    
Debt Instrument, Term   364 days                
Line of Credit Facility, Borrowing Capacity, Expired   $ 200.0