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Basis of Presentation and Accounting Policies - Recently Adopted Accounting Pronouncements (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
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                 $ (3,794.7) $ (3,781.1) $ (3,643.4)
Gross profit $ 722.9 $ 730.3 $ 708.2 $ 738.7 $ 736.1 $ 744.7 $ 703.9 $ 700.2 2,900.1 2,884.9 2,667.9
Selling, general and administrative expenses                 (1,538.5) (1,587.9) (1,557.6)
Other income (expense)                 (362.4) 106.8 3.3
Products and solutions                      
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                 (3,313.6) (3,327.5) (3,216.2)
Services                      
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                 $ (481.1) (453.6) (427.2)
Previously Reported                      
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                   (3,793.8) (3,687.1)
Gross profit                   2,872.2 2,624.2
Selling, general and administrative expenses                   (1,599.0) (1,591.5)
Other income (expense)                   130.6 80.9
Previously Reported | Products and solutions                      
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                   (3,338.6) (3,254.3)
Previously Reported | Services                      
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                   (455.2) (432.8)
Accounting Standards Update 2017-07 | Restatement Adjustment                      
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                   12.7 43.7
Gross profit                   12.7 43.7
Selling, general and administrative expenses                   11.1 33.9
Other income (expense)                   (23.8) (77.6)
Accounting Standards Update 2017-07 | Restatement Adjustment | Products and solutions                      
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                   11.1 38.1
Accounting Standards Update 2017-07 | Restatement Adjustment | Services                      
New Accounting Pronouncement, Early Adoption [Line Items]                      
Cost of sales                   $ 1.6 $ 5.6