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Earnings per Share (Schedule of Earnings per Share) (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Earnings Per Share [Abstract]                      
Income from continuing operations $ 452.9 $ 430.7 $ 416.4 $ 155.6 $ 474.2 $ 104.2 $ 304.4 $ 251.6 $ 1,455.6 $ 1,134.4 $ 1,099.5
Income (Loss) from discontinued operations 0.0 43.2 [1] 0.0 (1.0) (5.5) (2.3) 1,825.6 [2] 48.2 42.2 [1] 1,866.0 [2] (468.4)
Net Income Attributable to Air Products $ 452.9 $ 473.9 $ 416.4 $ 154.6 $ 468.7 $ 101.9 $ 2,130.0 $ 299.8 $ 1,497.8 $ 3,000.4 $ 631.1
Weighted average common shares — Basic                 219.3 218.0 216.4
Employee stock option and other award plans                 1.5 1.8 1.9
Weighted average common shares — Diluted 220.9 220.9 220.8 220.4 220.1 219.8 219.7 219.7 220.8 219.8 218.3
Basic Earnings Per Common Share Attributable to Air Products                      
Income from continuing operations (in dollars per share) $ 2.06 $ 1.96 $ 1.90 $ 0.71 $ 2.17 $ 0.48 $ 1.40 $ 1.16 $ 6.64 $ 5.20 $ 5.08
Income (Loss) from discontinued operations (in dollars per share) 0 0.20 0 0 (0.02) (0.01) 8.38 0.22 0.19 8.56 (2.16)
Net Income Attributable to Air Products (in dollars per share) 2.06 2.16 1.90 0.71 2.15 0.47 9.78 1.38 6.83 13.76 2.92
Diluted Earnings Per Common Share Attributable to Air Products                      
Income from continuing operations (in dollars per share) 2.05 1.95 1.89 0.70 2.15 0.47 1.39 1.15 6.59 5.16 5.04
Income (Loss) from discontinued operations (in dollars per share) 0 0.20 0 0 (0.02) (0.01) 8.31 0.22 0.19 8.49 (2.15)
Net Income Attributable to Air Products (in dollars per share) $ 2.05 $ 2.15 $ 1.89 $ 0.70 $ 2.13 $ 0.46 $ 9.70 $ 1.37 $ 6.78 $ 13.65 $ 2.89
[1] Primarily includes benefits resulting from the resolution of uncertain tax positions related to the disposition of our former European Homecare business and post-closing adjustments associated with the sale of PMD. For additional information, refer to Note 3, Discontinued Operations.
[2] Includes the after-tax gain on the sale of PMD. For additional information, see Note 3, Discontinued Operations.