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Income Taxes (Details) - USD ($)
$ in Thousands
 12 Months Ended
Apr. 30, 2022
Apr. 30, 2021
Apr. 30, 2020
Current Provision [Abstract]      
US - Federal $ (324) $ (6,631) $ 1,145
International 57,905 43,269 37,494
State and local 221 1,359 172
Total current provision 57,802 37,997 38,811
Deferred provision (benefit) [Abstract]      
US - Federal (9,793) (11,996) (8,476)
International 15,882 1,175 (15,022)
State and local (2,539) 480 (4,118)
Total deferred provision (benefit) 3,550 (10,341) (27,616)
Total provision 61,352 27,656 11,195
Foreign and domestic pretax income (loss) [Abstract]      
International 256,456 202,490 104,185
United States (46,795) (26,578) (167,277)
Income (loss) before taxes $ 209,661 $ 175,912 $ (63,092)
Effective income tax rate [Abstract]      
US federal statutory rate 21.00% 21.00% 21.00%
Cost of higher taxes on non-US income 9.70% 1.10% 4.80%
Foreign tax credits related to CARES Act carryback and audit (11.90%) 12.30% 0.00%
Change in valuation allowance 11.90% (12.30%) 0.00%
State income taxes, net of US federal tax benefit (1.00%) 0.80% 3.30%
US NOL carryback under CARES Act 0.00% (8.00%) 0.00%
Tax credits and related net benefits (0.50%) (0.50%) (1.10%)
Impairment of goodwill and intangibles 0.00% 0.00% (42.30%)
Other 0.10% 1.30% (3.40%)
Effective income tax rate (benefit) 29.30% 15.70% (17.70%)
Tax benefit resulting from NOL carryback   $ 14,000  
Accounting for uncertainty in income taxes [Abstract]      
Accruals for interest and penalties $ 600 700  
Interest expense on reserves for unrecognized and recognized tax benefits 200 200  
Total amount of unrecognized tax benefits that, if recognized, would reduce the Company's income tax provision 6,900 7,400  
Reconciliation of unrecognized tax benefits [Roll Forward]      
Balance, beginning of period 9,144 6,194  
Additions for current year tax positions 947 3,626  
Additions for prior year tax positions 16 511  
Reductions for prior year tax positions 0 (163)  
Foreign translation adjustment (55)    
Foreign translation adjustment   57  
Payments and settlements 0 (215)  
Reductions for lapse of statute of limitations (1,460) (866)  
Balance, end of period 8,592 9,144 $ 6,194
Significant components of deferred tax assets and liabilities [Abstract]      
Net operating losses 20,847 19,433  
Reserve for sales returns and doubtful accounts 3,771 3,838  
Accrued employee compensation 26,722 32,835  
Foreign and federal credits 34,537 5,129  
Other accrued expenses 11,636 16,092  
Retirement and post-employment benefits 15,769 30,039  
Total gross deferred tax assets 113,282 107,366  
Less valuation allowance (30,000) (4,855)  
Total deferred tax assets 83,282 102,511  
Prepaid expenses and other current assets (2,684) (459)  
Unremitted foreign earnings (2,685) (2,485)  
Intangible and fixed assets (249,215) (260,559)  
Total deferred tax liabilities (254,584) (263,503)  
Net deferred tax liabilities (171,302) (160,992)  
Reported As [Abstract]      
Deferred tax assets 8,763 11,911  
Deferred tax liabilities (180,065) (172,903)  
Net deferred tax liabilities (171,302) $ (160,992)  
UK [Member]      
Income Taxes [Abstract]      
Non-cash deferred tax expense from re-measurement of net deferred tax liabilities $ 21,400    
UK [Member] | Minimum [Member]      
Income Taxes [Abstract]      
Foreign statutory tax rate 19.00%    
UK [Member] | Maximum [Member]      
Income Taxes [Abstract]      
Foreign statutory tax rate 25.00%    
State and Local Jurisdiction [Member]      
Operating Loss Carryforwards [Line Items]      
Apportioned state net operating loss carryforwards $ 129,000    
Apportioned state net operating loss carryforwards, tax effected value $ 7,100    
State and Local Jurisdiction [Member] | Minimum [Member]      
Operating Loss Carryforwards [Line Items]      
Net operating loss carryforwards, expiration period 2 years    
State and Local Jurisdiction [Member] | Maximum [Member]      
Operating Loss Carryforwards [Line Items]      
Net operating loss carryforwards, expiration period 20 years    
Foreign Tax Authority [Member]      
Operating Loss Carryforwards [Line Items]      
Estimated taxes upon repatriation $ 2,700