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6. Income Taxes (Details) - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Jan. 01, 2018
Income Taxes [Line Items]        
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount $ 4,400      
Prepaid Taxes 5,500     $ 22,800
U.S. 363,400 $ 72,800 $ (38,500)  
International 149,300 25,000 80,100  
Income before income taxes 512,659 97,805 41,560  
U.S. Federal 8,800 6,700 16,100  
State 2,200 3,400 3,100  
International 30,500 32,000 30,400  
Current Income Tax Expense (Benefit) 41,500 42,100 49,600  
U.S. Federal 114,000 (69,800) (42,400)  
State 6,600 4,300 (2,800)  
International 300 (19,300) (6,000)  
Deferred tax benefit 120,900 (84,800) (51,200)  
Non-current tax expense (benefit) (15,400) 18,300 17,200  
Provision for income taxes $ 147,045 $ (24,444) $ 15,560  
U.S. statutory tax rate 21.00% 35.00% 35.00%  
Impact of foreign operations (4.00%) 6.00% (15.00%)  
Foreign dividends, net 0.00% 0.00% (40.00%)  
Research tax credits (1.00%) (4.00%) (9.00%)  
Nontaxable subsidies 0.00% (2.00%) (4.00%)  
Tax settlements and changes to unrecognized tax benefits 0.00% 0.00% 47.00%  
Goodwill impairment 6.00% 1.00% 11.00%  
Domestic manufacturing deduction 0.00% 0.00% (4.00%)  
Stock-based compensation (1.00%) (5.00%) 3.00%  
Nondeductible executive compensation 0.00% 2.00% 3.00%  
Fines and penalties 0.00% 0.00% 2.00%  
Prior period adjustments (1.00%) 0.00% 4.00%  
State taxes 2.00% 3.00% 1.00%  
Other 2.00% (3.00%) 1.00%  
Provision for income taxes 29.00% (25.00%) 37.00%  
Tax Cuts and Jobs Act, Change in Tax Rate, Income Tax Expense (Benefit) $ (119,000) $ (70,000)    
Tax Cuts and Jobs Act, Change in Tax Rate, Income Tax Expense (Benefit), Increase (49,000)      
Tax Cuts and Jobs Act, Income Tax Expense (Benefit) Composition (169,000)      
Tax Cuts and Jobs Act, Income Tax Expense, Composition 50,000      
Bad debt, inventory and warranty accruals 21,700 28,600    
Other post-employment benefits, vacation and other reserves 23,000 24,000    
Tax credit and net operating loss carryforwards 75,300 73,300    
Other 27,100 19,700    
Total gross deferred tax assets 147,100 145,600    
Valuation allowance (70,800) (66,400)    
Total deferred tax assets 76,300 79,200    
Property and equipment 40,100 33,500    
Investments and intangible assets 540,600 219,100    
Total deferred tax liabilities 580,700 252,600    
Net deferred tax liabilities (504,400) (173,400)    
Unrecognized tax benefits period start 54,900 21,100 $ 11,900  
Additions to tax positions related to prior years 600 1,300 10,400  
Reductions to tax positions related to prior years (20,200) (1,000) 0  
Additions to tax positions related to the current year 4,600 34,800 3,400  
Settlements (6,800) (200) (2,400)  
Lapse of statute of limitations (1,100) (3,400) (2,300)  
Unrecognized Tax Benefits, Increase Resulting from Foreign Currency Translation   2,300 100  
Currency translation (2,200)      
Unrecognized tax benefits period end 29,800 54,900 21,100  
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued 9,500 10,900 11,800  
Unrecognized Tax Benefits, Income Tax Penalties and Interest Expense (1,400) $ (900) $ 8,700  
Significant Change in Unrecognized Tax Benefits is Reasonably Possible, Amount of Unrecorded Benefit 3,100      
Deferred Tax Liabilities, Undistributed Foreign Earnings 6,700      
Foreign Tax Authority [Member]        
Income Taxes [Line Items]        
Operating Loss Carryforward With No Expiration Date 118,800      
Operating Loss Carryforwards $ 205,000      
Domestic Tax Authority [Member]        
Income Taxes [Line Items]        
Other reconciling items 15.00% 3.00% 2.00%  
Tax Cuts and Jobs Act [Member]        
Income Taxes [Line Items]        
U.S. tax reform (10.00%) (71.00%) 0.00%  
State and Local Jurisdiction [Member]        
Income Taxes [Line Items]        
Operating Loss Carryforwards $ 52,700      
Including accrued interest and penalties [Member]        
Income Taxes [Line Items]        
Other 1,600      
Unrecognized tax benefits period end 39,300      
Research Tax Credit Carryforward [Member] | State and Local Jurisdiction [Member]        
Income Taxes [Line Items]        
Deferred Tax Assets, Tax Credit Carryforwards, Research $ 32,100      
Acquisition-related Costs [Member]        
Income Taxes [Line Items]        
Other reconciling items 0.00% 10.00% 0.00%  
Net of prepaid taxes [Member]        
Income Taxes [Line Items]        
Unrecognized tax benefits period end $ 32,200