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Business Segment Information (Schedule of Segment Reporting Information) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Sep. 30, 2019
Segment Reporting Information [Line Items]          
Sales $ 2,065.2 $ 2,224.0 $ 6,536.2 $ 6,635.7  
Operating income (loss) 539.2 569.7 1,677.4 1,541.2  
Depreciation and amortization     874.5 789.2  
Equity affiliates' income 51.2 56.4 197.6 155.5  
Total assets 24,782.1   24,782.1   $ 18,942.8
Operating Segments          
Segment Reporting Information [Line Items]          
Sales 2,065.2 2,224.0 6,536.2 6,635.7  
Operating income (loss) 539.2 566.1 1,643.6 1,566.6  
Depreciation and amortization 290.6 269.1 874.5 789.2  
Equity affiliates' income 51.2 56.4 163.8 155.5  
Total assets 24,782.1   24,782.1   18,942.8
Industrial Gases - Americas | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 849.9 955.3 2,718.5 2,936.2  
Operating income (loss) 248.3 262.2 773.5 737.0  
Depreciation and amortization 142.8 126.3 410.1 376.8  
Equity affiliates' income 19.9 21.7 62.1 62.1  
Total assets 6,562.9   6,562.9   5,832.2
Industrial Gases - EMEA | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 429.7 494.6 1,421.1 1,513.2  
Operating income (loss) 105.1 123.4 350.2 351.5  
Depreciation and amortization 47.3 47.8 143.3 140.4  
Equity affiliates' income 17.4 18.8 50.2 45.8  
Total assets 3,537.8   3,537.8   3,250.8
Industrial Gases - Asia | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 651.9 679.4 2,002.8 1,931.6  
Operating income (loss) 221.9 231.4 659.5 632.9  
Depreciation and amortization 92.9 87.9 298.6 252.7  
Equity affiliates' income 11.7 14.9 42.4 44.9  
Total assets 6,678.2   6,678.2   6,240.6
Industrial Gases - Global | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 77.6 57.9 249.5 179.9  
Operating income (loss) (13.4) (9.6) (29.6) (17.9)  
Depreciation and amortization 2.3 2.2 7.1 6.3  
Equity affiliates' income 2.2 1.0 9.1 2.7  
Total assets 381.8   381.8   325.7
Corporate and other | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 56.1 36.8 144.3 74.8  
Operating income (loss) (22.7) (41.3) (110.0) (136.9)  
Depreciation and amortization 5.3 4.9 15.4 13.0  
Equity affiliates' income 0.0 $ 0.0 0.0 $ 0.0  
Total assets $ 7,621.4   $ 7,621.4   $ 3,293.5