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Debt (Details)
1 Months Ended 3 Months Ended
Dec. 31, 2021
USD ($)
Mar. 31, 2021
USD ($)
Oct. 31, 2020
USD ($)
Mar. 31, 2022
USD ($)
Mar. 31, 2022
KRW (₩)
Feb. 28, 2022
USD ($)
Oct. 31, 2021
USD ($)
Apr. 30, 2021
KRW (₩)
borrowing
Dec. 31, 2019
USD ($)
Jul. 31, 2018
USD ($)
Debt Instrument [Line Items]                    
Long-term Debt $ 1,146,775,000     $ 1,252,074,000            
Less: Unamortized discount and deferred debt costs, net (8,779,000)     (7,974,000)            
Less: Short-term borrowings and current portion of long-term debt (153,008,000)     (156,692,000)            
Long-term debt 984,988,000     1,087,408,000            
Senior Notes | 6.625% Senior notes, due September 2027                    
Debt Instrument [Line Items]                    
Debt 525,000,000     $ 525,000,000            
Stated interest rate (as a percent)       6.625% 6.625%          
Subsidiary Term Loans | Term loan, applicable bank rate plus 1.77%, due April 2023 | Korea                    
Debt Instrument [Line Items]                    
Debt 47,064,000     $ 46,207,000            
Subsidiary Term Loans | Term loan, applicable bank rate plus 1.77%, due April 2023 | Korea | Applicable Bank Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate (as a percent)       1.77%            
Subsidiary Term Loans | Term loan, fixed rate at 1.85%, due April 2024 | Korea                    
Debt Instrument [Line Items]                    
Debt 0     $ 0            
Stated interest rate (as a percent)       1.85% 1.85%          
Unused borrowing capacity       $ 66,000,000 ₩ 80,000,000,000          
Face amount of debt | ₩               ₩ 80,000,000,000    
Number of annual borrowings | borrowing               6    
Subsidiary Term Loans | Term loan, applicable bank rate plus 1.98%, due December 2028 | Korea                    
Debt Instrument [Line Items]                    
Debt 50,000,000     $ 50,000,000            
Subsidiary Term Loans | Term loan, applicable bank rate plus 1.98%, due December 2028 | Korea | Applicable Bank Rate                    
Debt Instrument [Line Items]                    
Basis spread on variable rate (as a percent)       1.98%            
Subsidiary Term Loans | Term Loan, fixed rate at 2.12%, Due December 2028 | Korea                    
Debt Instrument [Line Items]                    
Debt 50,000,000     $ 200,000,000            
Stated interest rate (as a percent)             2.12%      
Debt term       7 years            
Face amount of debt             $ 200,000,000      
Proceeds from issuance of long-term debt 50,000,000     $ 150,000,000            
Debt grace period       3 years            
Subsidiary Term Loans | Short-term term loans, variable rate | Japan                    
Debt Instrument [Line Items]                    
Debt 3,789,000     $ 17,666,000            
Unused borrowing capacity       $ 4,100,000            
Subsidiary Term Loans | Short-term term loans, variable rate | Japan | Weighted Average                    
Debt Instrument [Line Items]                    
Weighted average interest rate (as a percent)       0.28% 0.28%          
Subsidiary Term Loans | Short-term term loans, variable rate | Japan | TIBOR | Minimum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate (as a percent)       0.15%            
Subsidiary Term Loans | Short-term term loans, variable rate | Japan | TIBOR | Maximum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate (as a percent)       0.30%            
Subsidiary Term Loans | Term loan, fixed rate at 0.86%, due June 2022 | Japan                    
Debt Instrument [Line Items]                    
Debt 4,345,000     $ 2,054,000            
Stated interest rate (as a percent)       0.86% 0.86%          
Subsidiary Term Loans | Term loan, fixed rate at 0.60%, due July 2022 | Japan                    
Debt Instrument [Line Items]                    
Debt 1,303,000     $ 822,000            
Stated interest rate (as a percent)       0.60% 0.60%          
Subsidiary Term Loans | Term loan, fixed rate at 1.30%, due July 2023 | Japan                    
Debt Instrument [Line Items]                    
Debt 79,075,000     $ 64,092,000            
Stated interest rate (as a percent)       1.30% 1.30%          
Subsidiary Term Loans | Term loan, fixed rate at 1.35%, due December 2024 | Japan                    
Debt Instrument [Line Items]                    
Debt 148,592,000     $ 128,800,000            
Stated interest rate (as a percent)       1.35% 1.35%          
Subsidiary Term Loans | Term loan, fixed rate at 1.20%, due December 2025 | Japan                    
Debt Instrument [Line Items]                    
Debt 75,773,000     $ 67,173,000            
Stated interest rate (as a percent)       1.20% 1.20%          
Subsidiary Term Loans | Term loan, fixed rate at 1.23%, due December 2026 | Japan                    
Debt Instrument [Line Items]                    
Debt 113,834,000     $ 102,260,000            
Stated interest rate (as a percent)       1.23% 1.23%          
Subsidiary Term Loans | Term Loan, LIBOR plus 1.10% Due March 2024 | China                    
Debt Instrument [Line Items]                    
Debt 48,000,000     $ 48,000,000            
Subsidiary Term Loans | Term Loan, LIBOR plus 1.10% Due March 2024 | China | Weighted Average                    
Debt Instrument [Line Items]                    
Weighted average interest rate (as a percent)       2.01% 2.01%          
Subsidiary Term Loans | Term Loan, LIBOR plus 1.10% Due March 2024 | China | LIBOR                    
Debt Instrument [Line Items]                    
Basis spread on variable rate (as a percent)       1.10%            
Subsidiary Term Loans | Term Loan One, LIBOR plus 1.10% Due March 2024 | China                    
Debt Instrument [Line Items]                    
Periodic principal payment   $ 500,000                
Subsidiary Term Loans | Term Loan One, LIBOR plus 1.10% Due March 2024 | China | LIBOR                    
Debt Instrument [Line Items]                    
Face amount of debt   20,000,000                
Subsidiary Term Loans | Term Loan Two, LIBOR plus 1.10% Due March 2024 | China                    
Debt Instrument [Line Items]                    
Periodic principal payment   500,000                
Subsidiary Term Loans | Term Loan Two, LIBOR plus 1.10% Due March 2024 | China | LIBOR                    
Debt Instrument [Line Items]                    
Face amount of debt   $ 30,000,000                
Subsidiary Term Loans | Revolving credit facility, TAIFX plus the applicable bank rate, due December 2024 (Taiwan) | Revolving Credit Facility | Taiwan                    
Debt Instrument [Line Items]                    
Face amount of debt                 $ 20,000,000  
Line of Credit | Revolving Credit Facility | Korea                    
Debt Instrument [Line Items]                    
Debt 0     $ 0            
Credit facility, borrowing capacity     $ 30,000,000              
Basis spread on variable rate (as a percent)       1.11%            
Debt term     1 year              
Payment term     6 months              
Unused borrowing capacity       $ 30,000,000            
Line of Credit | $250 million senior secured revolving credit facility, LIBOR plus 1.25%-1.75%, due July 2023 (Singapore) | Revolving Credit Facility | Singapore                    
Debt Instrument [Line Items]                    
Debt 0     $ 0            
Credit facility, borrowing capacity                   $ 250,000,000
Line of Credit | $250 million senior secured revolving credit facility, LIBOR plus 1.25%-1.75%, due July 2023 (Singapore) | Revolving Credit Facility | Singapore | LIBOR | Minimum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate (as a percent)       1.25%            
Line of Credit | $250 million senior secured revolving credit facility, LIBOR plus 1.25%-1.75%, due July 2023 (Singapore) | Revolving Credit Facility | Singapore | LIBOR | Maximum                    
Debt Instrument [Line Items]                    
Basis spread on variable rate (as a percent)       1.75%            
Line of Credit | Revolving credit facility, TAIFX plus the applicable bank rate, due December 2024 (Taiwan) | Revolving Credit Facility | Taiwan                    
Debt Instrument [Line Items]                    
Debt 0     $ 0            
Credit facility, borrowing capacity       15,000,000   $ 36,000,000     36,000,000  
Unused borrowing capacity       15,000,000            
Line of Credit | Senior Secured Revolving Credit Facility due March 2027 | Revolving Credit Facility | Singapore                    
Debt Instrument [Line Items]                    
Debt $ 0     0            
Credit facility, borrowing capacity       $ 600,000,000            
Basis spread on variable rate (as a percent)       1.75%            
Line of Credit | 2022 Singapore Revolver | Revolving Credit Facility | Singapore                    
Debt Instrument [Line Items]                    
Credit facility, borrowing capacity       $ 600,000,000            
Remaining borrowing capacity       600,000,000            
Credit facility, base amount       $ 250,000,000            
Credit facility percentage of variable borrowings       37.50% 37.50%          
Revolving credit facilities and term loans | Revolving credit facility, TAIFX plus the applicable bank rate, due December 2024 (Taiwan) | Revolving Credit Facility | Taiwan                    
Debt Instrument [Line Items]                    
Face amount of debt                 $ 56,000,000