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Intangible Assets, net - Activity Affecting Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Mar. 31, 2023
Intangible Assets, Gross [Abstract]          
Totals, gross, beginning balance     $ 2,580,020    
Totals, effects of foreign currency exchange rate     (3,867)    
Totals, gross, ending balance $ 2,576,153   2,576,153    
Finite-lived Intangible Assets, Accumulated Amortization [Abstract]          
Accumulated amortization, beginning balance     238,127    
Accumulated amortization, additions 4,900 $ 5,600 9,900 $ 11,300  
Accumulated amortization, effects of foreign exchange rates     (124)    
Accumulated amortization, ending balance 247,903   247,903    
Finite-Lived Intangible Assets, Net [Abstract]          
Finite-Lived Intangible Assets, Net 162,430   162,430    
Intangible Assets, Net [Abstract]          
Intangible Assets, Net (Excluding Goodwill), Total 2,328,250   2,328,250   $ 2,341,893
Finite-Lived Trademarks and Customer Relationships          
Finite-Lived Intangible Assets, Gross [Abstract]          
Finite-lived trademarks and customer relationships, beginning balance     411,118    
Finite-lived trademarks and customer relationships, effects of foreign currency exchange rate     (785)    
Finite-lived trademarks and customer relationships, ending balance 410,333   410,333    
Finite-lived Intangible Assets, Accumulated Amortization [Abstract]          
Accumulated amortization, beginning balance     238,127    
Accumulated amortization, additions     9,900    
Accumulated amortization, effects of foreign exchange rates     (124)    
Accumulated amortization, ending balance 247,903   247,903    
Finite-Lived Intangible Assets, Net [Abstract]          
Finite-Lived Intangible Assets, Net 162,430   162,430    
Indefinite- Lived Trademarks          
Indefinite-Lived Intangible Assets [Abstract]          
Indefinite-lived trademarks, beginning balance     2,168,902    
Indefinite lived trademarks, effects of foreign currency exchange rate     (3,082)    
Indefinite-lived trademarks, ending balance $ 2,165,820   $ 2,165,820