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Debt and Financing Arrangements - Additional Information (Detail)
€ in Millions, $ in Millions, ¥ in Billions
3 Months Ended 9 Months Ended
Jun. 30, 2019
USD ($)
Mar. 31, 2019
USD ($)
Jun. 30, 2018
USD ($)
Dec. 31, 2017
USD ($)
Jun. 30, 2019
USD ($)
Jun. 30, 2019
EUR (€)
Jun. 30, 2019
JPY (¥)
Jun. 30, 2018
USD ($)
Jun. 30, 2019
EUR (€)
Mar. 31, 2019
JPY (¥)
Sep. 30, 2016
USD ($)
Debt Instrument [Line Items]                      
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   $ 0.0   $ 60.0     $ 0.0      
Notes Payable to Banks [Member] | 5.25 percent due 2041 [Domain]                      
Debt Instrument [Line Items]                      
Debt Instrument, Repurchased Face Amount $ 2.5       $ 2.5            
Debt Instrument, Interest Rate, Stated Percentage 5.25%       5.25%       5.25%    
Notes Payable to Banks [Member] | Floating rate term loan [Domain]                      
Debt Instrument [Line Items]                      
Repayments of Debt | ¥             ¥ 10        
Debt Instrument, Face Amount | ¥                   ¥ 35  
Notes Payable to Banks [Member] | 1.375 percent due 2025 [Domain]                      
Debt Instrument [Line Items]                      
Debt Instrument, Repurchased Face Amount | €                 € 4.7    
Debt Instrument, Interest Rate, Stated Percentage 1.375%       1.375%       1.375%    
Notes Payable to Banks [Member] | 3.9 percent due 2026 [Member]                      
Debt Instrument [Line Items]                      
Debt Instrument, Repurchased Face Amount   $ 12.0                  
Debt Instrument, Interest Rate, Stated Percentage   3.90%               3.90%  
Tyco International Holding S.a.r.L. (TSarL) [Member]                      
Debt Instrument [Line Items]                      
Repayments of Debt       $ 1,900.0              
Long-term Debt                     $ 4,000.0
Tyco International Holding S.a.r.L. (TSarL) [Member] | Notes Payable to Banks [Member] | $364 million due March 2020 [Domain]                      
Debt Instrument [Line Items]                      
Repayments of Debt         $ 364.0            
Tyco International Holding S.a.r.L. (TSarL) [Member] | Notes Payable to Banks [Member] | $250 million USD expiring in Mar 2020 [Member]                      
Debt Instrument [Line Items]                      
Repayments of Debt         250.0            
Tyco International Holding S.a.r.L. (TSarL) [Member] | Notes Payable to Banks [Member] | 215 million euro floating due July 2019 [Domain]                      
Debt Instrument [Line Items]                      
Repayments of Debt | €           € 215.0          
Notes Payable to Banks [Member] | $750 million term loan due earlier of Jan 2020 or 5 days after PS Close [Member]                      
Debt Instrument [Line Items]                      
Repayments of Debt         $ 750.0            
Revolving Credit Facility [Member] | Floating rate term loan [Domain]                      
Debt Instrument [Line Items]                      
Debt Instrument, Term 5 years                    
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] | $250 million USD expiring in Mar 2020 [Member]                      
Debt Instrument [Line Items]                      
Line of Credit Facility, Maximum Borrowing Capacity   $ 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] | $150 million USD expiring in February 2020 [Member]                      
Debt Instrument [Line Items]                      
Line of Credit Facility, Maximum Borrowing Capacity   $ 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                  
Revolving Credit Facility [Member] | $350 million USD expiring in Jan 2020 [Member]                      
Debt Instrument [Line Items]                      
Line of Credit Facility, Maximum Borrowing Capacity   $ 350.0                  
Revolving Credit Facility [Member] | Tyco International Holding S.a.r.L. (TSarL) [Member] | $1.25 billion due August 2020 [Domain]                      
Debt Instrument [Line Items]                      
Line of Credit, Borrowing Capacity, Terminated $ 1,250.0                    
Revolving Credit Facility [Member] | Tyco International Holding S.a.r.L. (TSarL) [Member] | $250 million USD expiring in Mar 2020 [Member]                      
Debt Instrument [Line Items]                      
Debt Instrument, Term   364 days