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Revenue Recognition (Disaggregation of Revenue) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Disaggregation of Revenue [Line Items]                      
Sales $ 2,320.1 $ 2,065.2 $ 2,216.3 $ 2,254.7 $ 2,283.2 $ 2,224.0 $ 2,187.7 $ 2,224.0 $ 8,856.3 $ 8,918.9 $ 8,930.2
Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 8,856.3 $ 8,918.9 8,930.2
Percent sales by supply mode                 100.00% 100.00%  
Industrial Gases - Americas | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 3,630.7 $ 3,873.5 3,758.8
Industrial Gases - EMEA | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 1,926.3 2,002.5 2,193.3
Industrial Gases - Asia | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 2,716.5 2,663.6 2,458.0
Industrial Gases - Global | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 364.9 261.0 436.1
Corporate and other | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 217.9 118.3 $ 84.0
On-site | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 4,322.3 $ 4,581.6  
Percent sales by supply mode                 49.00% 52.00%  
On-site | Industrial Gases - Americas | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 2,040.2 $ 2,230.6  
On-site | Industrial Gases - EMEA | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 629.3 728.4  
On-site | Industrial Gases - Asia | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 1,652.8 1,622.6  
On-site | Industrial Gases - Global | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 0.0 0.0  
On-site | Corporate and other | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 0.0 0.0  
Merchant | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 3,951.2 $ 3,958.0  
Percent sales by supply mode                 45.00% 44.00%  
Merchant | Industrial Gases - Americas | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 1,590.5 $ 1,642.9  
Merchant | Industrial Gases - EMEA | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 1,297.0 1,274.1  
Merchant | Industrial Gases - Asia | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 1,063.7 1,041.0  
Merchant | Industrial Gases - Global | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 0.0 0.0  
Merchant | Corporate and other | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 0.0 0.0  
Sale of Equipment | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 582.8 $ 379.3  
Percent sales by supply mode                 6.00% 4.00%  
Sale of Equipment | Industrial Gases - Americas | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 0.0 $ 0.0  
Sale of Equipment | Industrial Gases - EMEA | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 0.0 0.0  
Sale of Equipment | Industrial Gases - Asia | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 0.0 0.0  
Sale of Equipment | Industrial Gases - Global | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 364.9 261.0  
Sale of Equipment | Corporate and other | Operating Segments                      
Disaggregation of Revenue [Line Items]                      
Sales                 $ 217.9 $ 118.3