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Intangible Assets, net - Activity Affecting Intangible Assets (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Dec. 31, 2023
Dec. 31, 2022
Mar. 31, 2023
Intangible Assets, Gross [Abstract]          
Totals, gross, beginning balance     $ 2,580,020    
Totals, effects of foreign currency exchange rate     1,557    
Totals, gross, ending balance $ 2,581,577   2,581,577    
Finite-lived Intangible Assets, Accumulated Amortization [Abstract]          
Accumulated amortization, beginning balance     238,127    
Accumulated amortization, additions 4,900 $ 5,600 14,842 $ 16,900  
Accumulated amortization, effects of foreign exchange rates     79    
Accumulated amortization, ending balance 253,048   253,048    
Finite-Lived Intangible Assets, Net [Abstract]          
Finite-lived intangible assets, net 158,404   158,404    
Intangible Assets, Net [Abstract]          
Intangible assets, net 2,328,529   2,328,529   $ 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     334    
Finite-lived trademarks and customer relationships, ending balance 411,452   411,452    
Finite-lived Intangible Assets, Accumulated Amortization [Abstract]          
Accumulated amortization, beginning balance     238,127    
Accumulated amortization, additions     14,842    
Accumulated amortization, effects of foreign exchange rates     79    
Accumulated amortization, ending balance 253,048   253,048    
Finite-Lived Intangible Assets, Net [Abstract]          
Finite-lived intangible assets, net 158,404   158,404    
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     1,223    
Indefinite-lived trademarks, ending balance $ 2,170,125   $ 2,170,125