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Pension and Employee Benefit Plans, Changes in Benefit Obligations, Plan Assets and Funded Status (Details) - Pension Plans [Member] - USD ($)
$ in Millions
12 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2020
Change in Benefit Obligation [Roll Forward]      
Benefit obligation at beginning of year $ 260.6 $ 264.7  
Service cost 0.3 0.4 $ 0.4
Interest cost 7.3 7.9 9.1
Actuarial (gain) loss (16.5) 2.7  
Benefits paid (16.0) (17.1)  
Disposition of air-cooled automotive business (5.5) 0.0  
Curtailment gains [1] 0.0 (0.1)  
Effect of exchange rate changes (1.6) 2.1  
Benefit obligation at end of year 228.6 260.6 264.7
Change in Plan Assets [Roll Forward]      
Fair value of plan assets at beginning of year 183.3 131.1  
Actual return on plan assets 7.6 47.8  
Benefits paid (16.0) (17.1)  
Employer contributions 5.0 21.5  
Fair value of plan assets at end of year 179.9 183.3 131.1
Funded status at end of year (48.7) (77.3)  
Amounts Recognized in the Consolidated Balance Sheets [Abstract]      
Current liability (1.5) (0.9)  
Noncurrent liability (47.2) (58.6)  
Liabilities held for sale [2] 0.0 (17.8)  
Total liability (48.7) (77.3)  
Pension Plans with Accumulated Benefit Obligations in Excess of Plan Assets [Abstract]      
Accumulated benefit obligation 228.1 258.9  
Amounts Recognized in Accumulated Other Comprehensive Loss [Abstract]      
Net actuarial loss (gain) 131.5 151.1  
Non-U.S Plans [Member]      
Change in Benefit Obligation [Roll Forward]      
Benefit obligation at beginning of year 36.4 35.7  
Actuarial (gain) loss (1.9)    
Benefits paid (1.5) (2.2)  
Effect of exchange rate changes (1.6) 2.2  
Service and interest cost 0.6 0.7  
Increase (decrease) in benefit obligation (9.9) 0.7  
Benefit obligation at end of year 26.5 36.4 35.7
Change in Plan Assets [Roll Forward]      
Employer contributions 1.5 $ 2.2 $ 2.3
Non-U.S Plans [Member] | Air-Cooled Automotive Business [Member]      
Change in Benefit Obligation [Roll Forward]      
Increase (decrease) in benefit obligation $ (5.5)    
[1] The curtailment gains in fiscal 2021 are associated with headcount reductions in Europe within the Automotive segment. See Note 6 for additional information on the Company’s restructuring activities.
[2] At March 31, 2021, the Company classified the liabilities for pension plans in Germany and Austria within the liquid- and air-cooled automotive businesses as held for sale.  See Note 2 for additional information.