Employee Benefit Plans - Share-based Compensation Expenses and Related Tax Benefits Recognized (Details) - USD ($) $ in Thousands	3 Months Ended	6 Months Ended
Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Share-based compensation expense and related tax benefit
Total share-based compensation expense	$ 24,022	$ 24,785	$ 47,673	$ 44,900
Income tax benefit	(3,285)	(3,958)	(19,879)	(12,069)
Total share-based compensation expense, net of income tax benefit	20,737	20,827	27,794	32,831
Cost of goods sold
Share-based compensation expense and related tax benefit
Total share-based compensation expense	2,102	1,772	3,471	3,172
Marketing and selling
Share-based compensation expense and related tax benefit
Total share-based compensation expense	9,758	10,377	18,288	19,169
Research and development
Share-based compensation expense and related tax benefit
Total share-based compensation expense	4,724	3,763	9,785	6,866
General and administrative
Share-based compensation expense and related tax benefit
Total share-based compensation expense	$ 7,438	$ 8,873	$ 16,129	$ 15,693

Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 718
-SubTopic 10
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Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

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