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Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Dec. 31, 2018
Sep. 30, 2018
Dec. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Other comprehensive loss [Abstract]          
Beginning balance       $ 490.1  
Other comprehensive loss before reclassifications $ (3.2)   $ 5.2 (34.2) $ 33.0
Reclassifications for amortization of unrecognized net loss [1] 1.3   1.3 3.9 3.9
Reclassifications for foreign currency translation losses [2] 0.0     0.8  
Income taxes (0.1)   (0.6) (0.6) (1.5)
Total other comprehensive income (loss) (2.0)   5.9 (30.1) 35.4
Ending balance 533.6     533.6  
AIAC Air Conditioning South Africa Pty Ltd Member [Member]          
Other comprehensive loss [Abstract]          
Loss on write-off of accumulated foreign currency translation   $ (0.8)      
Accumulated Other Comprehensive Loss [Member]          
Other comprehensive loss [Abstract]          
Beginning balance (168.4)   (152.3) (140.3) (181.8)
Ending balance (170.4) (168.4) (146.4) (170.4) (146.4)
Foreign Currency Translation [Member]          
Other comprehensive loss [Abstract]          
Beginning balance (35.5)   (19.0) (5.5) (46.8)
Other comprehensive loss before reclassifications (2.1)   4.6 (32.9) 32.4
Reclassifications for amortization of unrecognized net loss [1] 0.0   0.0 0.0 0.0
Reclassifications for foreign currency translation losses [2] 0.0     0.8  
Income taxes 0.0   0.0 0.0 0.0
Total other comprehensive income (loss) (2.1)   4.6 (32.1) 32.4
Ending balance (37.6) (35.5) (14.4) (37.6) (14.4)
Defined Benefit Plans [Member]          
Other comprehensive loss [Abstract]          
Beginning balance (132.9)   (133.3) (134.9) (135.0)
Other comprehensive loss before reclassifications 0.0   0.0 0.0 0.0
Reclassifications for amortization of unrecognized net loss [1] 1.3   1.3 3.9 3.9
Reclassifications for foreign currency translation losses [2] 0.0     0.0  
Income taxes (0.3)   (0.4) (0.9) (1.3)
Total other comprehensive income (loss) 1.0   0.9 3.0 2.6
Ending balance (131.9) (132.9) (132.4) (131.9) (132.4)
Cash Flow Hedges [Member]          
Other comprehensive loss [Abstract]          
Beginning balance 0.0   0.0 0.1 0.0
Other comprehensive loss before reclassifications (1.1)   0.6 (1.3) 0.6
Reclassifications for amortization of unrecognized net loss [1] 0.0   0.0 0.0 0.0
Reclassifications for foreign currency translation losses [2] 0.0     0.0  
Income taxes 0.2   (0.2) 0.3 (0.2)
Total other comprehensive income (loss) (0.9)   0.4 (1.0) 0.4
Ending balance $ (0.9) $ 0.0 $ 0.4 $ (0.9) $ 0.4
[1] Amounts are included in the calculation of net periodic benefit cost for the Company's defined benefit plans, which include pension and other postretirement plans. See Note 4 for additional information about the Company's pension plans.
[2] As a result of the sale of a business in South Africa during the second quarter of fiscal 2019, the Company wrote-off $0.8 million of accumulated foreign currency translation losses. See Note 1 for additional information about this transaction.