Debt (Details)	2 Months Ended	6 Months Ended
	Sep. 30, 2022	Jun. 30, 2023 USD ($)	Jun. 30, 2023 KRW (₩)	Dec. 31, 2022 USD ($)	Jun. 30, 2022	Mar. 31, 2022 USD ($)	Apr. 30, 2021 KRW (₩) borrowing	Dec. 31, 2019 USD ($)
Debt Instrument [Line Items]
Total debt		$ 1,137,430,000		$ 1,239,772,000
Less: Unamortized discount and deferred debt costs, net		(5,917,000)		(7,438,000)
Less: Short-term borrowings and current portion of long-term debt		(155,978,000)		(143,813,000)
Long-term debt		975,535,000		1,088,521,000
Collateralized debt		600,000,000
Asset Pledged as Collateral
Debt Instrument [Line Items]
Collateralized debt		349,200,000
Short-term term loans, variable rate | Japan | Subsidiary Term Loans
Debt Instrument [Line Items]
Total debt		3,451,000		4,042,000
Borrowing capacity available		$ 8,400,000
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		$ 9,008,000		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		$ 59,247,000		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		$ 37,766,000		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		$ 63,544,000		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		$ 97,914,000		119,738,000
Subsidiary Term Loans | Term Loan, SOFR plus 0.75% Due March 2024 | China
Debt Instrument [Line Items]
Total debt		45,000,000		46,000,000
Subsidiary Term Loans | Term Loan, SOFR plus 0.75% Due March 2024 | China | SOFR
Debt Instrument [Line Items]
Interest rate spread (as a percent)	0.75%
Subsidiary Term Loans | Term Loan, SOFR Plus 0.75% Due June 2025 | China
Debt Instrument [Line Items]
Total debt		38,000,000		39,000,000
Subsidiary Term Loans | Term Loan, SOFR Plus 0.75% Due June 2025 | China | SOFR
Debt Instrument [Line Items]
Interest rate spread (as a percent)	0.75%
Subsidiary Term Loans | Term Loan, SOFR Plus 0.75% Due 2025 | China
Debt Instrument [Line Items]
Total debt		$ 58,500,000		59,500,000
Subsidiary Term Loans | Term Loan, SOFR Plus 0.75% Due 2025 | China | SOFR
Debt Instrument [Line Items]
Interest rate spread (as a percent)	0.75%
Subsidiary Term Loans | Amended All Term Loan, Annual Base Rate | China
Debt Instrument [Line Items]
Weighted average interest rate (as a percent)		5.80%	5.80%
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%