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Business Segment Information (Schedule of Segment Reporting Information) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2021
Mar. 31, 2020
Mar. 31, 2021
Mar. 31, 2020
Sep. 30, 2020
Segment Reporting Information [Line Items]          
Sales $ 2,502.0 $ 2,216.3 $ 4,877.2 $ 4,471.0  
Operating income (loss) 548.5 577.2 1,087.6 1,138.2  
Depreciation and amortization     653.0 583.9  
Equity affiliates' income 69.8 88.2 139.1 146.4  
Total assets 26,158.9   26,158.9   $ 25,168.5
Operating Segments          
Segment Reporting Information [Line Items]          
Sales 2,502.0 2,216.3 4,877.2 4,471.0  
Operating income (loss) 534.9 543.4 1,074.0 1,104.4  
Depreciation and amortization 329.3 294.7 653.0 583.9  
Equity affiliates' income 69.8 54.4 139.1 112.6  
Total assets 26,158.9   26,158.9   25,168.5
Industrial Gases - Americas | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 1,056.1 932.4 1,989.1 1,868.6  
Operating income (loss) 263.4 268.0 489.2 525.2  
Depreciation and amortization 153.3 135.5 305.1 267.3  
Equity affiliates' income 32.3 21.6 54.6 42.2  
Total assets 6,916.3   6,916.3   6,610.1
Industrial Gases - EMEA | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 584.6 492.7 1,147.6 991.4  
Operating income (loss) 139.6 124.6 281.1 245.1  
Depreciation and amortization 57.6 47.6 113.0 96.0  
Equity affiliates' income 20.3 13.5 45.3 32.8  
Total assets 4,176.4   4,176.4   3,917.0
Industrial Gases - Asia | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 697.5 658.1 1,415.0 1,350.9  
Operating income (loss) 198.5 209.1 413.3 437.6  
Depreciation and amortization 109.7 104.1 217.6 205.7  
Equity affiliates' income 15.5 13.8 35.4 30.7  
Total assets 7,279.9   7,279.9   6,842.9
Industrial Gases - Global | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 97.9 79.3 202.4 171.9  
Operating income (loss) (26.1) (19.8) (30.7) (16.2)  
Depreciation and amortization 2.6 2.4 5.2 4.8  
Equity affiliates' income 1.7 5.5 3.8 6.9  
Total assets 451.8   451.8   397.8
Corporate and other | Operating Segments          
Segment Reporting Information [Line Items]          
Sales 65.9 53.8 123.1 88.2  
Operating income (loss) (40.5) (38.5) (78.9) (87.3)  
Depreciation and amortization 6.1 5.1 12.1 10.1  
Equity affiliates' income 0.0 $ 0.0 0.0 $ 0.0  
Total assets $ 7,334.5   $ 7,334.5   $ 7,400.7