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Benefit Plans (Tables)
 12 Months Ended
Mar. 31, 2023
Notes To Financial Statements [Abstract]  
Schedule of Defined Benefit Plans Disclosures
 Defined Benefit Pension PlansOther
Post-Retirement
Benefits Plan
2023202220232022
Change in Benefit Obligations:
Benefit Obligations at Beginning of Year$129,772 $149,200 $8,525 $10,016 
Service cost1,276 1,616 — — 
Interest cost3,054 2,820 256 232 
Actuarial loss (gain)(27,046)(12,177)(807)(640)
Benefits and expenses(5,817)(5,375)(783)(1,083)
Employee contributions501 897 — — 
Curtailments/settlements(421)(1,334)— — 
Impact of foreign currency exchange rate changes (7,679)(5,875)— — 
Benefit Obligations at End of Year93,640 129,772 7,191 8,525 
Change in Plan Assets:
Fair Value of Plan Assets at Beginning of Year142,172 145,452 — — 
Actual return on plan assets(25,828)3,421 — — 
Employer contributions4,936 5,533 783 1,083 
Employee contributions501 897 — — 
Benefits and expenses paid(5,772)(5,325)(783)(1,083)
Curtailments/settlements(421)(1,334)— — 
Impact of foreign currency exchange rate changes(8,499)(6,472)— — 
Fair Value of Plan Assets at End of Year107,089 142,172 — — 
Funded Status of the Plans$13,449 $12,400 $(7,191)$(8,525)
Schedule of Accrued Liabilities Amounts recognized in the consolidated balance sheets consist of the following:
 Defined Benefit Pension PlansOther Post-Retirement Benefits Plan
  2023202220232022
Non-current assets$16,325 $14,172 $— $— 
Current liabilities— — (1,121)(1,190)
Non-current liabilities(2,876)(1,772)(6,070)(7,335)
Net assets (liabilities)$13,449 $12,400 $(7,191)$(8,525)
Schedule of Accumulated and Projected Benefit Obligations
Defined benefit plans with an accumulated benefit obligation and projected benefit obligation exceeding the fair value of plan assets had the following plan assets and obligations at March 31, 2023 and 2022:
 Defined Benefit Pension Plans
  
20232022
Aggregate fair value of plan assets$107,089 $142,172 
Aggregate accumulated benefit obligations93,640 129,772 
Aggregate projected benefit obligations93,640 129,772 
Components of Net Periodic Benefits Cost and Other Amounts Recognized in Other Comprehensive Income [Table Text Block] Components of the annual net periodic benefit cost of our defined benefit pension plans and our other post-retirement benefits plan were as follows:
 Defined Benefit Pension PlansOther Post-Retirement Benefits Plan
  202320222021202320222021
Service cost$1,276 $1,616 $1,357 $— $— $— 
Interest cost3,054 2,699 2,628 256 232 317 
Expected return on plan assets(3,817)(4,412)(3,463)— — — 
Prior service cost recognition48 61 71 — (267)(3,263)
Net amortization and deferral19 18 21 329 444 439 
Curtailments/settlements(49)(31)— — — — 
Net periodic benefit (credit) cost$531 $(49)$614 $585 $409 $(2,507)
Recognized in other comprehensive loss (income) before tax:
Net loss (gain) occurring during year$1,716 $(11,028)$(1,635)$807 $640 $114 
Amortization of prior service credit(263)(222)(85)— 267 3,263 
Amortization of net loss— — 7 (329)(444)(439)
Total recognized in other comprehensive loss (income)1,453 (11,250)(1,713)478 463 2,938 
Total recognized in total benefits cost and other comprehensive loss (income)$1,984 $(11,299)$(1,099)$1,063 $872 $431 
Schedule of Assumptions Used The following table presents significant assumptions used to determine the projected benefit obligations at March 31:
  
20232022
Discount Rate:
   Synergy Health plc Retirement Benefits Scheme4.70 %2.80 %
   Isotron BV Pension Plan3.70 %1.80 %
   Synergy Health Daniken AG2.05 %0.90 %
   Synergy Health Radeberg3.80 %1.60 %
   Synergy Health Allershausen3.70 %1.50 %
   Harwell Dosimeters Ltd Retirement Benefits Scheme4.80 %2.85 %
   Other post-retirement plan4.75 %3.25 %
Schedule of Net Benefit Costs The following table presents significant assumptions used to determine the net periodic benefit costs for the years ended March 31:
  
202320222021
Discount Rate:
   Synergy Health plc Retirement Benefits Scheme2.80 %2.10 %2.40 %
   Isotron BV Pension Plan1.80 %0.90 %1.60 %
   Synergy Health Daniken AG2.05 %1.00 %0.70 %
   Synergy Health Radeberg2.00 %1.50 %1.50 %
   Synergy Health Allershausen2.20 %2.00 %1.75 %
              Harwell Dosimeters Ltd Retirement Benefits Scheme4.80 %2.85 %2.15 %
   Other post-retirement plan 3.25 %2.50 %3.00 %
Expected Return on Plan Assets:
   Synergy Health plc Retirement Benefits Scheme3.20 %3.60 %3.50 %
   Isotron BV Pension Plan1.80 %0.90 %1.60 %
   Synergy Health Daniken AG1.95 %1.00 %0.70 %
Schedule of Health Care Cost Trend Rates The assumed rates of increase generally decline ratably over a five-year period from the assumed current year healthcare cost trend rate to the assumed long-term healthcare cost trend rate noted below.
  
202320222021
Healthcare cost trend rate – medical7.50 %7.00 %7.00 %
Healthcare cost trend rate – prescription drug7.50 %7.00 %7.00 %
Long-term healthcare cost trend rate4.50 %4.50 %4.50 %
To determine the healthcare cost trend rates, we evaluate a combination of information, including ongoing claims cost monitoring, annual statistical analyses of claims data, reconciliation of forecasted claims against actual claims, review of trend assumptions of other plan sponsors and national health trends, and adjustments for plan design changes, workforce changes, and changes in plan participant behavior.
Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis
The fair value of our pension benefits plan assets at March 31, 2023 and 2022 by asset category is as follows:
 Fair Value Measurements at March 31, 2023
(In thousands)TotalQuoted
Prices in
Active Markets
for Identical
Assets
(Level 1)		Significant
Other
Observable
Inputs
(Level 2)		Significant
Other
Unobservable
Inputs
(Level 3)
Cash$338 $338 $— $— 
Insured annuities10,285 — 10,285 — 
Insurance contracts5,387 — — 5,387 
Common and collective trusts valued at net asset value:
    Equity security trusts48,137 — — — 
    Debt security trusts42,942 — — — 
Total Plan Assets$107,089 $338 $10,285 $5,387 
 Fair Value Measurements at March 31, 2022
(In thousands)TotalQuoted
Prices in
Active Markets
for Identical
Assets
(Level 1)		Significant
Other
Observable
Inputs
(Level 2)		Significant
Other
Unobservable
Inputs
(Level 3)
Cash$559 $559 $— $— 
Insured annuities14,231 — 14,231 — 
Insurance contracts5,383 — — 5,383 
Common and collective trusts valued at net asset value:
    Equity security trusts66,416 — — — 
    Debt security trusts55,583 — — — 
Total Plan Assets$142,172 $559 $14,231 $5,383 
Schedule of Effect of Significant Unobservable Inputs, Changes in Plan Assets [Table Text Block] The fair value measurement of plan assets using significant unobservable inputs (Level 3) changed during fiscal year 2023 due to the following:
Insurance contracts
Balance at March 31, 2021$5,555 
    Gains (losses) related to assets still held at year-end(115)
    Transfers out of Level 3(210)
    Foreign currency153 
Balance at March 31, 2022$5,383 
    Gains (losses) related to assets still held at year-end(157)
    Transfers out of Level 3320 
    Foreign currency(159)
Balance at March 31, 2023$5,387 
Schedule of Expected Benefit Payments Based upon the actuarial assumptions utilized to develop our benefit obligations at March 31, 2023, the following benefit payments are expected to be made to plan participants:
  
Other Defined Benefit Pension Plans
Other Post-Retirement Benefits Plan
2024$6,279 $1,121 
20256,265 1,019 
20266,458 913 
20276,663 823 
20286,845 731 
2029 and thereafter37,315 2,620