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Income Taxes (Details Textual) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Dec. 31, 2023 | Dec. 31, 2022 | Dec. 31, 2021
Income taxes [Line Items] |  |  |
Federal statutory income tax rate | 21.00% | 21.00% | 21.00%
Tax net operating loss carryforwards |  |  |
Gross undistributed earnings reinvested indefinitely in foreign subsidiaries | $ 2,356.1 |  |
Unrecognized tax benefits that would impact provision for income taxes and effective income tax rate | 38.2 | 30.8 |
Unrecognized tax benefits, income tax penalties and interest accrued | 10.0 | 8.3 |
Foreign [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax net operating loss carryforwards | 247.4 | 260.6 |
Tax credit carryforwards | $ 53.6 | 59.8 |
Foreign [Member] | Earliest Tax Year [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax credit carryforwards, Expiration year | 2027 |  |
Foreign [Member] | Latest Tax Year [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax credit carryforwards, Expiration year | 2032 |  |
U.S. State [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax net operating loss carryforwards | $ 68.4 | $ 97.7 |
U.S. State [Member] | Earliest Tax Year [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax net operating loss carryforwards, Expiration year | 2024 |  |
U.S. State [Member] | Latest Tax Year [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax net operating loss carryforwards, Expiration year | 2043 |  |
U.S. Federal [Member] | Research and Expenditure Tax Credit Carryforward [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax credit carryforwards | $ 3.8 |  |
U.S. Federal [Member] | Research and Expenditure Tax Credit Carryforward [Member] | Earliest Tax Year [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax credit carryforwards, Expiration year | 2034 |  |
U.S. Federal [Member] | Research and Expenditure Tax Credit Carryforward [Member] | Latest Tax Year [Member] |  |  |
Income taxes [Line Items] |  |  |
Tax credit carryforwards, Expiration year | 2042 |  |

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- Definition Percentage of domestic federal statutory tax rate applicable to pretax income (loss). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Topic 235 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SX 210.4-08(h)(2)) -Publisher FASB -URI https://asc.fasb.org//1943274/2147480678/235-10-S99-1 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 12 -Publisher FASB -URI https://asc.fasb.org//1943274/2147482685/740-10-50-12 Reference 3: http://www.xbrl.org/2003/role/disclosureRef -Topic 740 -SubTopic 10 -Name Accounting Standards Codification -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 6.I.Fact.4) -Publisher FASB -URI https://asc.fasb.org//1943274/2147479360/740-10-S99-1 + Details
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