Stock-Based Compensation - LTIP NQSOs (Details) - Stock Incentive Plan 2015 - LTIP NQSOs - USD ($) $ / shares in Units, $ in Thousands	12 Months Ended
Mar. 31, 2022	Mar. 31, 2021	Mar. 31, 2020	Mar. 31, 2019
Number of Shares
Number of shares vested beginning of period (in shares)	195,742	302,939	361,383
Exercised (in shares)	(45,810)	(107,197)	(58,444)
Number of shares vested end of period (in shares)	149,932	195,742	302,939	361,383
Weighted- Average Grant-Date Fair Value
Outstanding at the beginning of the period (in dollars per share)	$ 67.56	$ 66.02	$ 65.35
Exercised (in dollars per share)	(67.11)	(63.20)	(61.86)
Outstanding at the end of the period (in dollars per share)	$ 67.70	$ 67.56	$ 66.02	$ 65.35
Share-based Compensation Arrangement by Share-based Payment Award, Options, Additional Disclosures [Abstract]
Weighted- Average Remaining Contractual Term (Years)	2 years 7 months 6 days	3 years 7 months 6 days	5 years	6 years 2 months 12 days
Aggregate Intrinsic Value	$ 30,896	$ 51,452	$ 20,594	$ 29,504

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Amount by which current fair value of underlying stock exceeds exercise price of fully vested and expected to vest exercisable or convertible options. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur.

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Number of fully vested and expected to vest exercisable options that may be converted into shares under option plan. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur.

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Weighted-average exercise price, at which grantee can acquire shares reserved for issuance, for fully vested and expected to vest exercisable or convertible options. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur.

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Weighted average price at which option holders acquired shares when converting their stock options into shares.

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A roll forward is a reconciliation of a concept from the beginning of a period to the end of a period.

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Weighted average remaining contractual term for fully vested and expected to vest exercisable or convertible options, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. Includes, but is not limited to, unvested options for which requisite service period has not been rendered but that are expected to vest based on achievement of performance condition, if forfeitures are recognized when they occur.

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Number of share options (or share units) exercised during the current period.

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