Restructuring (Details)
$ in Thousands
 12 Months Ended
Mar. 31, 2020
USD ($)
plan
Mar. 31, 2019
USD ($)
Mar. 31, 2018
USD ($)
Restructuring Cost and Reserve [Line Items]      
Restructuring and Related Cost, Expected Number of Positions Eliminated | plan 200    
Restructuring expense incurred since Plan inception $ 43,851    
Restructuring Reserve 1,017 $ 6,131 $ 0
Restructuring Reserve, Accrual Adjustment 1,837 10,481 [1]  
Payments for Restructuring 6,951 (4,350) [1]  
Restructuring Costs 673 30,987 103
Accelerated depreciation and amortization 0 16,194  
Cost of Sales [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring expense incurred since Plan inception 12,191    
Operating Expense [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring expense incurred since Plan inception 31,660    
Contract Termination [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring Reserve 20 2,029 0
Restructuring Reserve, Accrual Adjustment 283 4,830 [1]  
Payments for Restructuring 2,292 2,801  
Restructuring Costs 283 4,830  
Employee Severance [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring Reserve 997 4,102 $ 0
Restructuring Reserve, Accrual Adjustment 1,554 5,651 [1]  
Payments for Restructuring 4,659 1,549  
Restructuring Costs 1,554 5,651  
Product Rationalization [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring Costs [2] 2,470 9,721  
Accelerated depreciation and amortization [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring Costs (1,164) 0  
Asset impairment charges [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring Costs and Asset Impairment Charges 0 $ 4,312  
Healthcare Products [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring expense incurred since Plan inception 31,162    
Healthcare Specialty Services [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring expense incurred since Plan inception 2,518    
Life Science Member [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring expense incurred since Plan inception 668    
Applied Sterilization Technologies [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring expense incurred since Plan inception 7,798    
Corporate, Non-Segment [Member]      
Restructuring Cost and Reserve [Line Items]      
Restructuring expense incurred since Plan inception $ 1,705    
[1]
(1) Certain amounts reported include the impact of foreign currency movements relative to the U.S. dollar.
[2] Recorded in cost of revenues on the Consolidated Statements of Income.