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Revenue Recognition, Impacts of Adopting New Accounting Guidance (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 6 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Mar. 31, 2018
Consolidated Statement of Operations [Abstract]          
Net sales $ 548.9 $ 508.3 $ 1,115.0 $ 1,023.8  
Net earnings attributable to Modine $ 38.5 $ 15.9 $ 60.5 $ 32.9  
Net earnings per share attributable to Modine shareholders [Abstract]          
Basic (in dollars per share) $ 0.76 $ 0.32 $ 1.19 $ 0.66  
Diluted (in dollars per share) $ 0.75 $ 0.31 $ 1.18 $ 0.65  
ASSETS [Abstract]          
Inventories $ 210.6   $ 210.6   $ 191.3
Other current assets 68.4   68.4   70.1
Deferred income taxes 99.7   99.7   96.9
LIABILITIES AND SHAREHOLDERS' EQUITY [Abstract]          
Deferred income taxes 8.7   8.7   9.9
Retained earnings 447.8   447.8   $ 394.9
Impact of New Accounting Guidance [Member] | ASU 2014-09 [Member]          
Consolidated Statement of Operations [Abstract]          
Net sales 1.6   0.4    
Net earnings attributable to Modine $ 0.3   $ 0.1    
Net earnings per share attributable to Modine shareholders [Abstract]          
Basic (in dollars per share) $ 0   $ 0    
Diluted (in dollars per share) $ 0   $ 0    
ASSETS [Abstract]          
Inventories $ 1.6   $ 1.6    
Other current assets (2.6)   (2.6)    
Deferred income taxes 0.1   0.1    
LIABILITIES AND SHAREHOLDERS' EQUITY [Abstract]          
Deferred income taxes (0.2)   (0.2)    
Retained earnings (0.7)   (0.7)    
Results Without Impact of New Accounting Guidance [Member] | ASU 2014-09 [Member]          
Consolidated Statement of Operations [Abstract]          
Net sales 550.5   1,115.4    
Net earnings attributable to Modine $ 38.8   $ 60.6    
Net earnings per share attributable to Modine shareholders [Abstract]          
Basic (in dollars per share) $ 0.76   $ 1.19    
Diluted (in dollars per share) $ 0.75   $ 1.18    
ASSETS [Abstract]          
Inventories $ 212.2   $ 212.2    
Other current assets 65.8   65.8    
Deferred income taxes 99.8   99.8    
LIABILITIES AND SHAREHOLDERS' EQUITY [Abstract]          
Deferred income taxes 8.5   8.5    
Retained earnings $ 447.1   $ 447.1