Debt (Details)	1 Months Ended		2 Months Ended	3 Months Ended
	Jun. 30, 2022	Mar. 31, 2021	Sep. 30, 2022	Mar. 31, 2023 USD ($)	Mar. 31, 2023 KRW (₩)	Dec. 31, 2022 USD ($)	Mar. 31, 2022 USD ($)	Apr. 30, 2021 KRW (₩) borrowing	Dec. 31, 2019 USD ($)
Debt Instrument [Line Items]
Total debt				$ 1,204,217,000		$ 1,239,772,000
Less: Unamortized discount and deferred debt costs, net				(6,751,000)		(7,438,000)
Less: Short-term borrowings and current portion of long-term debt				(137,469,000)		(143,813,000)
Long-term debt				1,059,997,000		1,088,521,000
Collateralized debt				650,400,000
Asset Pledged as Collateral
Debt Instrument [Line Items]
Collateralized debt				365,200,000
Short-term term loans, variable rate | Japan | Subsidiary Term Loans
Debt Instrument [Line Items]
Total debt				9,235,000		4,042,000
Borrowing capacity available				$ 5,800,000
Short-term term loans, variable rate | Japan | Subsidiary Term Loans | Weighted Average
Debt Instrument [Line Items]
Weighted average interest rate (as a percent)				0.26%	0.26%
Short-term term loans, variable rate | Japan | TIBOR | Subsidiary Term Loans | Minimum
Debt Instrument [Line Items]
Interest rate spread (as a percent)				0.18%
Short-term term loans, variable rate | Japan | TIBOR | Subsidiary Term Loans | Maximum
Debt Instrument [Line Items]
Interest rate spread (as a percent)				0.27%
Senior Notes | 6.625% Senior notes, due September 2027
Debt Instrument [Line Items]
Interest rate (as a percent)				6.625%	6.625%
Total debt				$ 525,000,000		525,000,000
Subsidiary Term Loans | Term loan, fixed rate at 1.85%, due April 2024 | Korea
Debt Instrument [Line Items]
Interest rate (as a percent)				1.85%	1.85%
Total debt				$ 0		0
Face amount of debt | ₩								₩ 80,000,000,000
Number of annual borrowings | borrowing								6
Borrowing capacity available				$ 61,000,000	₩ 80,000,000,000
Subsidiary Term Loans | Term loan, fixed rate at 2.12%, due December 2028 | Korea
Debt Instrument [Line Items]
Interest rate (as a percent)				2.12%	2.12%
Total debt				$ 200,000,000		200,000,000
Subsidiary Term Loans | Term loan, fixed rate at 1.30%, due July 2023 | Japan
Debt Instrument [Line Items]
Interest rate (as a percent)				1.30%	1.30%
Total debt				$ 19,569,000		29,744,000
Subsidiary Term Loans | Term loan, fixed rate at 1.35%, due December 2024 | Japan
Debt Instrument [Line Items]
Interest rate (as a percent)				1.35%	1.35%
Total debt				$ 75,079,000		86,943,000
Subsidiary Term Loans | Term loan, fixed rate at 1.20%, due December 2025 | Japan
Debt Instrument [Line Items]
Interest rate (as a percent)				1.20%	1.20%
Total debt				$ 45,123,000		49,878,000
Subsidiary Term Loans | Term loan, fixed rate at 1.23%, due December 2026 | Japan
Debt Instrument [Line Items]
Interest rate (as a percent)				1.23%	1.23%
Total debt				$ 73,950,000		79,927,000
Subsidiary Term Loans | Term loan, fixed rate at 1.59%, due December 2027 | Japan
Debt Instrument [Line Items]
Interest rate (as a percent)				1.59%	1.59%
Total debt				$ 112,261,000		119,738,000
Subsidiary Term Loans | Term Loan, LIBOR plus 1.10% Due March 2024 | China
Debt Instrument [Line Items]
Weighted average interest rate (as a percent)				6.25%	6.25%
Total debt				$ 46,000,000		46,000,000
Subsidiary Term Loans | Term Loan, LIBOR plus 1.10% Due March 2024 | China | LIBOR
Debt Instrument [Line Items]
Interest rate spread (as a percent)		1.10%
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.80% Due June 2025 | China
Debt Instrument [Line Items]
Weighted average interest rate (as a percent)				5.74%	5.74%
Total debt				$ 39,000,000		39,000,000
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.80% Due June 2025 | China | LIBOR
Debt Instrument [Line Items]
Interest rate spread (as a percent)	0.80%
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.75% Due 2025 | China
Debt Instrument [Line Items]
Weighted average interest rate (as a percent)				5.81%	5.81%
Total debt				$ 59,000,000		59,500,000
Subsidiary Term Loans | Term Loan, LIBOR Plus 0.75% Due 2025 | China | LIBOR
Debt Instrument [Line Items]
Interest rate spread (as a percent)			0.75%
Line of Credit | Credit facility, TAIFX plus the applicable bank rate, due December 2024 (Taiwan) | Revolving Credit Facility | Taiwan
Debt Instrument [Line Items]
Total debt				0		0
Borrowing capacity available				15,000,000
Credit facility, borrowing capacity							$ 15,000,000		$ 36,000,000
Line of Credit | $600.0 million senior secured revolving credit facility, applicable bank rate plus 1.75%, due March 2027 (Singapore) | Revolving Credit Facility | Singapore
Debt Instrument [Line Items]
Interest rate (as a percent)							1.75%
Total debt				0		$ 0
Credit facility, borrowing capacity							$ 600,000,000
Line of Credit | 2022 Singapore Revolver | Revolving Credit Facility | Singapore
Debt Instrument [Line Items]
Borrowing capacity available				$ 600,000,000
Credit facility, base amount							$ 250,000,000
Credit facility percentage of variable borrowings							37.50%