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Common Stock and Stock Plans - Additional Information (Detail) - USD ($) | 12 Months Ended
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Mar. 31, 2022 | Mar. 31, 2021 | Mar. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Compensation cost charged against income | $ 86,808,000 | $ 84,879,000 | $ 86,553,000
Compensation costs capitalized | $ 10,800,000 | $ 13,700,000 | $ 12,600,000
Employee Stock Options [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Weighted average period over which unrecognized compensation cost is expected to be recognized | 8 months 12 days |  |
Vesting period | 4 years |  |
Award contractual term | 6 years |  |
Weighted average estimated fair value of stock options granted | $ 13.50 | $ 12.81 | $ 20.15
Stock options exercised intrinsic value |  | $ 0 | $ 7,900,000
Employee Stock Options [Member] | Minimum [Member] | Board of Directors [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Vesting period | 1 year | 1 year |
Employee Stock Options [Member] | Maximum [Member] | Board of Directors [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Vesting period | 3 years |  |
Total Shareholder Return Performance Stock Option [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Plan description | The Company grants TSR performance stock options to executive officers under the Equity Participation Plan. The number of shares of TSR performance stock options that will become eligible to vest based on the time-based vesting schedule described below is based on a comparison over a four-year performance period of the Company’s TSR to the TSR of the companies included in the S&P Mid Cap 400 Index. The number of options that may become vested and exercisable will range from 0% to 175% of the target number of options based on the Company’s relative TSR ranking for the performance period. The Company’s TSR performance stock options have a four-year time-based vesting schedule and a six-year contractual term. The TSR performance stock options must be vested under both the time-based vesting schedule and the performance-based vesting conditions in order to become exercisable. Expense for TSR performance stock options that time-vest is recognized regardless of the actual TSR outcome achieved and is recognized on a graded-vesting basis. |  |
Weighted average period over which unrecognized compensation cost is expected to be recognized | 1 year 8 months 12 days |  |
Vesting period | 4 years |  |
Award contractual term | 6 years |  |
Weighted average estimated fair value of stock options granted | $ 31.11 | $ 19.25 | $ 30.41
Restricted Stock Units [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Compensation cost charged against income | $ 64,700,000 | $ 59,400,000 | $ 62,400,000
Weighted average period over which unrecognized compensation cost is expected to be recognized | 2 years 9 months 18 days |  |
Vesting period | 4 years |  |
Weighted average estimated fair value of restricted stock units granted | $ 52.85 | $ 36.57 | $ 71.59
Total fair value of shares vested related to restricted stock units | $ 66,000,000.0 | $ 38,800,000 | $ 80,400,000
Restricted Stock Units [Member] | Minimum [Member] | Board of Directors [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Vesting period | 1 year | 1 year |
Restricted Stock Units [Member] | Maximum [Member] | Board of Directors [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Vesting period | 3 years |  |
Equity Participation Plan [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Maximum number of shares reserved for issuance |  | 41,315,000 |
Plan description | Shares of the Company’s common stock granted under the Equity Participation Plan as an award other than as an option or as a stock appreciation right with a per share purchase price lower than 100% of fair market value on the date of grant are counted against the Equity Participation Plan share reserve as two shares for each share of common stock subject to such awards. |  |
Compensation cost charged against income | $ 81,000,000.0 | $ 77,900,000 | 81,500,000
Unrecognized compensation cost related to unvested stock-based compensation arrangements | $ 192,600,000 |  |
Employee Stock Purchase Plan [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Maximum number of shares reserved for issuance | 6,950,000 |  |
Discount on the fair market value of common stock purchased under the Employee Stock Purchase Plan | 85.00% |  |
Compensation cost charged against income | $ 5,800,000 | $ 6,900,000 | $ 5,000,000.0
Unrecognized compensation cost related to unvested stock-based compensation arrangements | $ 1,600,000 |  |
Weighted average period over which unrecognized compensation cost is expected to be recognized | 6 months |  |
Weighted average estimated fair value of employee stock purchase plan shares issued | $ 12.37 | $ 11.60 | $ 17.15

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