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Goodwill and Intangible Assets (Details) - USD ($) | 3 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | ---
Dec. 31, 2022 | Sep. 30, 2022 | Dec. 31, 2021 | Dec. 31, 2022 | Dec. 31, 2021 | Mar. 31, 2022 | Dec. 01, 2021
Finite-Lived Intangible Assets [Line Items] |  |  |  |  |  |  |
Amortization of Intangible Assets | $ 6,459,000 |  | $ 6,254,000 | $ 19,442,000 | $ 18,648,000 |  |
Goodwill [Roll Forward] |  |  |  |  |  |  |
Balance at April 1, 2022 |  |  |  | 648,849,000 |  |  |
Currency translation |  |  |  | (6,035,000) |  |  |
Balance at December 31, 2022 | 642,430,000 |  |  | 642,430,000 |  |  |
Gross Carrying Amount | 486,302,000 |  |  | 486,302,000 |  | $ 491,590,000 |
Accumulated Amortization | (118,643,000) |  |  | (118,643,000) |  | (100,802,000) |
Net | 367,659,000 |  |  | 367,659,000 |  | 390,788,000 |
Indefinite-Lived Trademarks | 46,100,000 |  |  | 46,100,000 |  | 46,721,000 |
Duff Norton Group [Member] |  |  |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |  |  |
Balance at April 1, 2022 |  |  |  | 9,699,000 |  |  |
Balance at December 31, 2022 | 9,699,000 |  |  | 9,699,000 |  |  |
Trademark |  |  |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |  |  |
Gross Carrying Amount | 19,406,000 |  |  | 19,406,000 |  | 19,529,000 |
Accumulated Amortization | (5,926,000) |  |  | (5,926,000) |  | (5,032,000) |
Net | 13,480,000 |  |  | 13,480,000 |  | 14,497,000 |
Customer relationships |  |  |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |  |  |
Gross Carrying Amount | 320,938,000 |  |  | 320,938,000 |  | 325,431,000 |
Accumulated Amortization | (83,427,000) |  |  | (83,427,000) |  | (71,202,000) |
Net | 237,511,000 |  |  | 237,511,000 |  | 254,229,000 |
Unpatented Technology [Member] |  |  |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |  |  |
Gross Carrying Amount | 96,339,000 |  |  | 96,339,000 |  | 96,433,000 |
Accumulated Amortization | (26,387,000) |  |  | (26,387,000) |  | (21,789,000) |
Net | 69,952,000 |  |  | 69,952,000 |  | 74,644,000 |
Other |  |  |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |  |  |
Gross Carrying Amount | 3,519,000 |  |  | 3,519,000 |  | 3,476,000 |
Accumulated Amortization | (2,903,000) |  |  | (2,903,000) |  | (2,779,000) |
Net | 616,000 |  |  | 616,000 |  | $ 697,000 |
Garvey |  |  |  |  |  |  |
Goodwill [Roll Forward] |  |  |  |  |  |  |
Payments for (Proceeds from) Previous Acquisition | $ 1,616,000 | $ 1,616,000 |  | $ 384,000 |  |  |
Business Combination, Contingent Consideration, Liability, Noncurrent |  |  |  |  |  |  | $ (2,000,000)

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