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Income Taxes (Details) - USD ($) $ / shares in Units, $ in Thousands | 4 Months Ended | 12 Months Ended
--- | --- | ---
Apr. 30, 2018 | Apr. 30, 2019 | Apr. 30, 2018 | Apr. 30, 2017 | Apr. 30, 2016
Current Provision [Abstract] |  |  |  |  |
U.S. - Federal |  | $ 2,384 | $ (2,216) | $ 912 |
International |  | 52,518 | 46,112 | 105,228 |
State and Local |  | 2,536 | 961 | 100 |
Total Current Provision |  | 57,438 | 44,857 | 106,240 |
Deferred Provision (Benefit) [Abstract] |  |  |  |  |
U.S. - Federal |  | 335 | (26,062) | (13,852) |
International |  | (7,630) | 2,420 | (15,330) |
State and Local |  | (5,454) | 530 | 415 |
Total Deferred (Benefit) Provision |  | (12,749) | (23,112) | (28,767) |
Total Provision |  | 44,689 | 21,745 | 77,473 |
Foreign and domestic pretax income [Abstract] |  |  |  |  |
International |  | 204,326 | 219,178 | 192,910 |
United States |  | 8,626 | (5,247) | (1,794) |
Income Before Taxes |  | $ 212,952 | $ 213,931 | $ 191,116 |
Effective income tax rate reconciliation [Abstract] |  |  |  |  |
U.S. Federal Statutory Rate | 21.00% | 21.00% | 30.40% | 35.00% |
German Tax Litigation Expense |  | 0.00% | 0.00% | 25.70% |
Cost (Benefit) of Higher (Lower) Taxes on Non-U.S. Income |  | 0.90% | (8.40%) | (12.70%) |
State Income Taxes, net of U.S. Federal Tax Benefit |  | (1.30%) | 0.40% | 0.10% |
Deferred Tax (Benefit) from U.S. Tax Reform Rate Change |  | 0.10% | (11.70%) | 0.00% |
Deferred Tax Benefit from U.K. Statutory Tax Rate Change |  | 0.00% | 0.00% | (1.30%) |
Tax Credits and Related Benefits |  | (0.80%) | (1.70%) | (6.20%) |
Tax Adjustments and Other |  | 1.10% | 1.20% | (0.10%) |
Effective Income Tax Rate |  | 21.00% | 10.20% | 40.50% |
Expense recorded with completion of SAB 118 analysis (2019) and Provisional benefit amount recorded related to re-measurement of net deferred tax liability (2018) |  | $ 200 | $ 25,000 |  |
Estimated net impact of non-recurring items from Tax Act excluding non-recurring items |  | 21.00% | 21.90% |  |
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 |  | $ 300 | $ 600 |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
U.S. Federal Statutory Rate | 21.00% | 21.00% | 30.40% | 35.00% |
Repatriation tax rate on foreign earnings held in cash equivalents and certain net assets |  | 15.50% |  |  |
Repatriation tax rate on foreign earnings held in other assets |  | 8.00% |  |  |
Provisional tax expense related to mandatory deemed repatriation tax on foreign earnings |  | $ 14,200 |  |  |
Accounting for uncertainty in income taxes [Abstract] |  |  |  |  |
Accruals for interest and penalties | $ 600 | 700 | $ 600 |  |
Net interest expense on reserves for unrecognized and recognized tax benefits |  | 300 | 200 |  |
Total amount of unrecognized tax benefits that, if recognized, would reduce the Company's income tax provision | 6,800 | 7,700 | 6,800 |  |
Reconciliation of unrecognized tax benefits [Roll Forward] |  |  |  |  |
Tax benefit related to Foreign Derived Intangible Income benefit |  | 6,833 | 6,124 |  |
Additions for Current Year Tax Positions |  | 1,473 | 1,372 |  |
Additions for Prior Year Tax Positions |  | 414 | 69 |  |
Reductions for Prior Year Tax Positions |  | (578) | (38) |  |
Foreign Translation Adjustment |  | (42) |  |  |
Foreign Translation Adjustment |  |  | 45 |  |
Payments and Settlements |  | (136) | (124) |  |
Reductions for Lapse of Statute of Limitations |  | (305) | (615) |  |
Balance, end of period | 6,833 | 7,659 | 6,833 | $ 6,124 |
Income Tax Examination [Line Items] |  |  |  |  |
Income tax charge related to unfavorable tax settlement |  | 0 | 0 | $ 49,029 |
Significant components of deferred tax assets and liabilities [Abstract] |  |  |  |  |
Net Operating Losses | 8,976 | 14,491 | 8,976 |  |
Reserve for Sales Returns and Doubtful Accounts | 2,506 | 2,923 | 2,506 |  |
Accrued Employee Compensation | 20,096 | 17,528 | 20,096 |  |
Foreign and Federal Credits | 31,109 | 34,401 | 31,109 |  |
Other Accrued Expenses | 4,632 | 6,262 | 4,632 |  |
Retirement and Post-Employment Benefits | 39,160 | 40,653 | 39,160 |  |
Total Gross Deferred Tax Assets | 106,479 | 116,258 | 106,479 |  |
Less Valuation Allowance | (8,811) | (21,179) | (8,811) |  |
Total Deferred Tax Assets | 97,668 | 95,079 | 97,668 |  |
Prepaid Expenses and Other Current Assets | (3,203) | (744) | (3,203) |  |
Unremitted Foreign Earnings | (1,985) | (1,985) | (1,985) |  |
Intangible and Fixed Assets | (231,869) | (226,898) | (231,869) |  |
Total Deferred Tax Liabilities | (237,057) | (229,627) | (237,057) |  |
Net Deferred Tax Liabilities | (139,389) | (134,548) | (139,389) |  |
Reported As [Abstract] |  |  |  |  |
Non-current Deferred Tax Assets | 4,129 | 9,227 | 4,129 |  |
Non-current Deferred Tax Liabilities | (143,518) | (143,775) | (143,518) |  |
Net Deferred Tax Liabilities | $ (139,389) | $ (134,548) | $ (139,389) |  |
U.K. [Member] |  |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |  |
Foreign statutory tax rate |  | 57.00% |  |  | 19.00%
Foreign statutory tax rate in 2020 |  |  |  | 17.00% | 18.00%
Tax benefit from the re-measurement legislation enacted |  |  |  | $ (2,600) |
Deferred tax benefits associated with new tax legislation enacted (in dollars per share) |  |  |  | $ 0.04 |
Germany [Member] |  |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |  |
Foreign statutory tax rate |  | 24.00% |  |  |
Australia [Member] |  |  |  |  |
Income Tax Contingency [Line Items] |  |  |  |  |
Foreign statutory tax rate |  | 7.00% |  |  |
Foreign Tax Authority [Member] |  |  |  |  |
Effective income tax rate reconciliation [Abstract] |  |  |  |  |
U.S. Federal Statutory Rate |  | 13.125% |  |  |
Income Tax Disclosure [Line Items] |  |  |  |  |
U.S. Federal Statutory Rate |  | 13.125% |  |  |
Estimated taxes upon repatriation |  | $ 2,000 |  |  |
Reconciliation of unrecognized tax benefits [Roll Forward] |  |  |  |  |
Balance, end of period |  | 1,200 |  |  |
Income Tax Examination [Line Items] |  |  |  |  |
Income tax charge related to unfavorable tax settlement |  |  |  | $ 49,029 |
Income tax charge related to unfavorable tax settlement (in dollars per share) |  |  |  | $ 0.85 |
State and Local Jurisdiction [Member] |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |
Net operating loss carry forwards |  | 99,000 |  |  |
Net operating loss carry forwards, tax effect |  | $ 6,000 |  |  |
State and Local Jurisdiction [Member] | Minimum [Member] |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |
Net operating loss carry forwards, expiration period |  | 1 year |  |  |
State and Local Jurisdiction [Member] | Maximum [Member] |  |  |  |  |
Operating Loss Carryforwards [Line Items] |  |  |  |  |
Net operating loss carry forwards, expiration period |  | 20 years |  |  |

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