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Income Taxes (Details) - USD ($)
$ in Thousands
 12 Months Ended
Apr. 30, 2020
Apr. 30, 2019
Apr. 30, 2018
Current Provision [Abstract]      
U.S. - Federal $ 1,145 $ 2,384 $ (2,216)
International 37,494 52,518 46,112
State and Local 172 2,536 961
Total Current Provision 38,811 57,438 44,857
Deferred (Benefit) Provision [Abstract]      
U.S. - Federal (8,476) 335 (26,062)
International (15,022) (7,630) 2,420
State and Local (4,118) (5,454) 530
Total Deferred (Benefit) Provision (27,616) (12,749) (23,112)
Total Provision 11,195 44,689 21,745
Foreign and domestic pretax income [Abstract]      
International 104,185 204,326 219,178
United States (167,277) 8,626 (5,247)
(Loss) Income Before Taxes $ (63,092) $ 212,952 $ 213,931
Effective income tax rate reconciliation [Abstract]      
U.S. Federal Statutory Rate 21.00% 21.00% 30.40%
Cost (Benefit) of Higher (Lower) Taxes on Non-U.S. Income 4.80% 0.90% (8.40%)
State Income Taxes, net of U.S. Federal Tax Benefit 3.30% (1.30%) 0.40%
Deferred Tax (Benefit) from U.S. Tax Act 0.00% 0.10% (11.70%)
Tax Credits and Related Benefits (1.10%) (0.80%) (1.70%)
Impairment of goodwill and intangibles (42.30%) 0.00% 0.00%
Other (3.40%) 1.10% 1.20%
Effective Income Tax Rate (17.70%) 21.00% 10.20%
Estimated net impact of non-recurring items from Tax Act excluding non-recurring items 24.60% 21.00%  
Income Tax Contingency [Line Items]      
Recorded tax benefits due to expiration of statute of limitations and favorable resolutions of certain tax matters with tax authorities $ 1,400 $ 300  
Accounting for uncertainty in income taxes [Abstract]      
Unrecognized tax benefits 6,200 7,700  
Accruals for interest and penalties 600 700  
Interest expense on reserves for unrecognized and recognized tax benefits 200 300  
Reconciliation of unrecognized tax benefits [Roll Forward]      
Balance, begenning of period 7,659 6,833  
Additions for Current Year Tax Positions 694 1,473  
Additions for Prior Year Tax Positions 0 414  
Reductions for Prior Year Tax Positions (655) (578)  
Foreign Translation Adjustment (15) (42)  
Payments and Settlements (56) (136)  
Reductions for Lapse of Statute of Limitations (1,433) (305)  
Balance, end of period 6,194 7,659 $ 6,833
Significant components of deferred tax assets and liabilities [Abstract]      
Net Operating Losses 17,966 14,491  
Reserve for Sales Returns and Doubtful Accounts 2,638 2,923  
Accrued Employee Compensation 20,114 17,528  
Foreign and Federal Credits 31,487 34,401  
Other Accrued Expenses 11,827 6,262  
Retirement and Post-Employment Benefits 37,927 40,653  
Total Gross Deferred Tax Assets 121,959 116,258  
Less Valuation Allowance (23,287) (21,179)  
Total Deferred Tax Assets 98,672 95,079  
Prepaid Expenses and Other Current Assets (1,142) (744)  
Unremitted Foreign Earnings (1,985) (1,985)  
Intangible and Fixed Assets (205,882) (226,898)  
Total Deferred Tax Liabilities (209,009) (229,627)  
Net Deferred Tax Liabilities (110,337) (134,548)  
Reported As [Abstract]      
Deferred Tax Assets 8,790 9,227  
Deferred Tax Liabilities (119,127) (143,775)  
Net Deferred Tax Liabilities (110,337) $ (134,548)  
Foreign Tax Authority [Member]      
Operating Loss Carryforwards [Line Items]      
Estimated taxes upon repatriation 2,000    
State and Local Jurisdiction [Member]      
Operating Loss Carryforwards [Line Items]      
Apportioned state net operating loss carryforwards 102,000    
Apportioned state net operating loss carryforwards, tax effected value $ 6,000    
State and Local Jurisdiction [Member] | Minimum [Member]      
Operating Loss Carryforwards [Line Items]      
Net operating loss carryforwards, expiration period 1 year    
Tax credit carryforwards, expiration period 6 years    
State and Local Jurisdiction [Member] | Maximum [Member]      
Operating Loss Carryforwards [Line Items]      
Net operating loss carryforwards, expiration period 20 years    
Tax credit carryforwards, expiration period 20 years