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Debt (Details)
1 Months Ended 2 Months Ended 9 Months Ended
Jun. 30, 2022
USD ($)
loan
Dec. 31, 2021
USD ($)
Oct. 31, 2021
USD ($)
Mar. 31, 2021
USD ($)
Sep. 30, 2022
USD ($)
loan
Sep. 30, 2022
USD ($)
loan
Sep. 30, 2022
KRW (₩)
loan
Mar. 31, 2022
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     $ 1,131,465,000 $ 1,131,465,000          
Less: Unamortized discount and deferred debt costs, net   (8,779,000)     (6,400,000) (6,400,000)          
Less: Short-term borrowings and current portion of long-term debt   (153,008,000)     (123,521,000) (123,521,000)          
Long-term debt   984,988,000     1,001,544,000 1,001,544,000          
Collateralized debt         561,500,000 561,500,000          
Asset Pledged as Collateral                      
Debt Instrument [Line Items]                      
Collateralized debt         382,500,000 382,500,000          
Senior Notes | 6.625% Senior notes, due September 2027                      
Debt Instrument [Line Items]                      
Debt   525,000,000     $ 525,000,000 $ 525,000,000          
Stated interest rate (as a percent)         6.625% 6.625% 6.625%        
Line of Credit | Revolving Credit Facility | Korea                      
Debt Instrument [Line Items]                      
Debt   0     $ 0 $ 0          
Basis spread on variable rate (as a percent)           1.11%          
Credit facility, borrowing capacity     $ 30,000,000                
Debt term     1 year                
Payment term     6 months                
Unused borrowing capacity         30,000,000 $ 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 $ 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 $ 0          
Credit facility, borrowing capacity               $ 15,000,000   $ 36,000,000  
Unused borrowing capacity         15,000,000 15,000,000          
Face amount of debt                   56,000,000  
Line of Credit | Senior Secured Revolving Credit Facility due March 2027 | Revolving Credit Facility | Singapore                      
Debt Instrument [Line Items]                      
Debt   0     0 $ 0          
Basis spread on variable rate (as a percent)           1.75%          
Credit facility, borrowing capacity               600,000,000      
Line of Credit | 2022 Singapore Revolver | Revolving Credit Facility | Singapore                      
Debt Instrument [Line Items]                      
Credit facility, base amount               $ 250,000,000      
Credit facility percentage of variable borrowings               37.50%      
Remaining borrowing capacity         600,000,000 $ 600,000,000          
Subsidiary Term Loans | Term loan, applicable bank rate plus 1.77%, due April 2023 | Korea                      
Debt Instrument [Line Items]                      
Debt   47,064,000     0 $ 0          
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 $ 0          
Stated interest rate (as a percent)         1.85% 1.85% 1.85%        
Unused borrowing capacity         $ 56,000,000 $ 56,000,000 ₩ 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     0 $ 0          
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 $ 200,000,000          
Stated interest rate (as a percent)         2.12% 2.12% 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     $ 9,051,000 $ 9,051,000          
Unused borrowing capacity         $ 4,700,000 $ 4,700,000          
Subsidiary Term Loans | Short-term term loans, variable rate | Japan | Weighted Average                      
Debt Instrument [Line Items]                      
Weighted average interest rate (as a percent)         0.30% 0.30% 0.30%        
Subsidiary Term Loans | Short-term term loans, variable rate | Japan | TIBOR | Minimum                      
Debt Instrument [Line Items]                      
Basis spread on variable rate (as a percent)           0.18%          
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     $ 0 $ 0          
Stated interest rate (as a percent)   0.86%                  
Subsidiary Term Loans | Term loan, fixed rate at 0.60%, due July 2022 | Japan                      
Debt Instrument [Line Items]                      
Debt   $ 1,303,000     0 0          
Stated interest rate (as a percent)   0.60%                  
Subsidiary Term Loans | Term loan, fixed rate at 1.30%, due July 2023 | Japan                      
Debt Instrument [Line Items]                      
Debt   $ 79,075,000     $ 35,926,000 $ 35,926,000          
Stated interest rate (as a percent)         1.30% 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     $ 88,607,000 $ 88,607,000          
Stated interest rate (as a percent)         1.35% 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     $ 48,950,000 $ 48,950,000          
Stated interest rate (as a percent)         1.20% 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     $ 76,931,000 $ 76,931,000          
Stated interest rate (as a percent)         1.23% 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     $ 47,000,000 $ 47,000,000          
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)         4.58% 4.58% 4.58%        
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 | Term Loan, LIBOR Plus 0.80% Due June 2025 | China                      
Debt Instrument [Line Items]                      
Debt   0     $ 40,000,000 $ 40,000,000          
Periodic principal payment $ 500,000                    
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.80% Due June 2025 | China | Weighted Average                      
Debt Instrument [Line Items]                      
Weighted average interest rate (as a percent)         4.25% 4.25% 4.25%        
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.80% Due June 2025 | China | LIBOR                      
Debt Instrument [Line Items]                      
Basis spread on variable rate (as a percent) 0.80%                    
Face amount of debt $ 40,000,000                    
Number of term loan | loan 2                    
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.80% Due June 2025, One And Two | China | LIBOR                      
Debt Instrument [Line Items]                      
Face amount of debt $ 20,000,000                    
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.75% Due 2025 | China                      
Debt Instrument [Line Items]                      
Debt   $ 0     $ 60,000,000 $ 60,000,000          
Debt term         3 years            
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.75% Due 2025 | China | Weighted Average                      
Debt Instrument [Line Items]                      
Weighted average interest rate (as a percent)         4.16% 4.16% 4.16%        
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.75% Due 2025 | China | LIBOR                      
Debt Instrument [Line Items]                      
Basis spread on variable rate (as a percent)         0.75%            
Face amount of debt         $ 60,000,000 $ 60,000,000          
Number of term loan | loan         2 2 2        
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.75% Due 2025, One and Two | China                      
Debt Instrument [Line Items]                      
Periodic principal payment         $ 500,000            
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.75% Due 2025, One and Two | China | LIBOR                      
Debt Instrument [Line Items]                      
Face amount of debt         $ 30,000,000 $ 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