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Income Taxes (Details) - USD ($)
$ in Thousands
 12 Months Ended
Apr. 30, 2023
Apr. 30, 2022
Apr. 30, 2021
Current Provision      
US – Federal $ 2,857 $ (324) $ (6,631)
International 48,694 57,905 43,269
State and local 1,797 221 1,359
Total current provision 53,348 57,802 37,997
Deferred provision (benefit)      
US – Federal (24,368) (9,793) (11,996)
International (8,705) 15,882 1,175
State and local (4,408) (2,539) 480
Total deferred provision (benefit) (37,481) 3,550 (10,341)
Total provision 15,867 61,352 27,656
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Noncontrolling Interest [Abstract]      
International 204,055 256,456 202,490
United States (170,955) (46,795) (26,578)
Income before taxes $ 33,100 $ 209,661 $ 175,912
Effective Income Tax Rate Reconciliation, Percent [Abstract]      
US federal statutory rate 21.00% 21.00% 21.00%
Cost (benefit) of higher (lower) taxes on non-US income (9.20%) 9.70% 1.10%
Foreign tax credits related to CARES Act carryback and audit 0.00% (11.90%) 12.30%
Change in valuation allowance (7.40%) 11.90% (12.30%)
State income taxes, net of US federal tax benefit (7.20%) (1.00%) 0.80%
US NOL carryback under CARES Act 0.00% 0.00% (8.00%)
Tax credits and related net benefits (10.40%) (0.50%) (0.50%)
Impairment of goodwill 66.70% 0.00% 0.00%
Other (5.60%) 0.10% 1.30%
Effective income tax rate 47.90% 29.30% 15.70%
Income Taxes [Abstract]      
Effective income tax rate reconciliation, percent 47.90% 29.30% 15.70%
Income Tax Uncertainties [Abstract]      
Unrecognized tax benefits $ 9,421 $ 8,592 $ 9,144
Unrecognized tax benefits, income tax penalties and interest accrued 300 600  
Unrecognized tax benefits, interest on income taxes expense 200 200  
Unrecognized tax benefits that would impact effective tax rate 9,400 8,600  
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]      
Balance, beginning of period 8,592 9,144  
Additions for current year tax positions 1,236 947  
Additions for prior year tax positions 533 16  
Reductions for prior year tax positions 0 0  
Foreign translation adjustment (24) (55)  
Payments and settlements 0 0  
Reductions for lapse of statute of limitations (916) (1,460)  
Balance, end of period 9,421 8,592 $ 9,144
Components of Deferred Tax Assets and Liabilities [Abstract]      
Net operating losses 27,434 20,847  
Reserve for sales returns and doubtful accounts 2,523 3,771  
Accrued employee compensation 24,928 26,722  
Foreign and federal credits 31,930 34,537  
Other accrued expenses 2,513 2,700  
Retirement and post-employment benefits 16,880 15,769  
Operating lease liabilities 26,631 28,111  
Total gross deferred tax assets 132,839 132,457  
Less valuation allowance (27,448) (30,000)  
Total deferred tax assets 105,391 102,457  
Prepaid expenses and other current assets (2,927) (2,684)  
Unremitted foreign earnings (2,835) (2,685)  
Intangible and fixed assets (216,251) (249,104)  
Right-of-use assets (16,049) (19,286)  
Total deferred tax liabilities (238,062) (273,759)  
Net deferred tax liabilities (132,671) (171,302)  
Reported As      
Deferred tax assets 11,371 8,763  
Deferred tax liabilities (144,042) (180,065)  
Net deferred tax liabilities (132,671) $ (171,302)  
Operating Loss Carryforwards [Line Items]      
Decrease to valuation allowance 2,600    
UK      
Income Taxes [Abstract]      
Non-cash deferred tax expense from re-measurement of net deferred tax liabilities $ 21,400    
UK | Minimum      
Income Taxes [Abstract]      
Foreign statutory tax rate 19.00%    
UK | Maximum      
Income Taxes [Abstract]      
Foreign statutory tax rate 25.00%    
State and Local Jurisdiction      
Operating Loss Carryforwards [Line Items]      
Operating loss carryforwards $ 111,000    
Apportioned state net operating loss carryforwards, tax effected value $ 6,300    
State and Local Jurisdiction | Minimum      
Operating Loss Carryforwards [Line Items]      
Net operating loss carryforwards, expiration period 1 year    
State and Local Jurisdiction | Maximum      
Operating Loss Carryforwards [Line Items]      
Net operating loss carryforwards, expiration period 20 years    
Foreign Tax Authority      
Operating Loss Carryforwards [Line Items]      
Estimated taxes upon repatriation $ 2,800