Long-term debt - Senior Notes - Additional Information (Detail)					1 Months Ended	12 Months Ended
	Feb. 12, 2024 USD ($)	Feb. 12, 2024 EUR (€)	Sep. 13, 2017 USD ($)	Sep. 13, 2017 USD ($)	Feb. 29, 2024	Dec. 31, 2023 USD ($)	Feb. 12, 2024 EUR (€)	Dec. 31, 2023 EUR (€)	Dec. 31, 2022 USD ($)	Sep. 13, 2017 EUR (€)
Senior Notes
Long-term debt
Debt instrument base principal amount								€ 1,000
Unamortized debt issuance costs | $						$ 1,600,000			$ 2,400,000
Senior Notes | Subsequent event
Long-term debt
Debt instrument base principal amount							€ 1,000
Minimum amount of debt default for using customary default provisions | $	$ 50,000,000.0
3.75% Senior Secured Notes due September 15, 2025
Long-term debt
Debt instrument principal amount | $			$ 3.75	$ 3.75
Debt instrument interest rate						3.75%		3.75%
9.50% Senior Secured Notes | Subsequent event
Long-term debt
Debt instrument principal amount	$ 9.50						€ 850
Debt instrument interest rate	9.50%						9.50%
Debt instrument redemption price percent if experience certain specified change of control events	101.00%	101.00%
Principal amount							€ 325,000,000
Cash consideration		€ 50,000,000
Remaining outstanding							75,000,000
9.50% Senior Secured Notes | Maximum | Subsequent event
Long-term debt
Cash consideration		€ 150
9.50% Senior Secured Notes | Minimum | Subsequent event
Long-term debt
Debt instrument principal amount							276,174,000
9.50% Senior Secured Notes | Prior to March 15, 2026 | Subsequent event
Long-term debt
Debt instrument, redemption price percentage	100.00%	100.00%
9.50% Senior Secured Notes | On or After March 15, 2026 | Maximum | Subsequent event
Long-term debt
Debt instrument, redemption price percentage	104.75%	104.75%
9.50% Senior Secured Notes | On or After March 15, 2028 | Minimum | Subsequent event
Long-term debt
Debt instrument, redemption price percentage	100.00%	100.00%
9.50% Senior Secured Notes | On or Before March 15, 2026 | Subsequent event
Long-term debt
Debt instrument, percentage of debt that may be redeemed	40.00%	40.00%
Private equity offerings	109.50%	109.50%
Redemption percentage	50.00%	50.00%
Subordinated, unsecured term loan | Subsequent event
Long-term debt
Debt instrument principal amount	$ 53,700,000						€ 50,000,000.0
Debt instrument interest rate	11.50%						11.50%
Kronos International, Inc | 3.75% Senior Secured Notes due September 15, 2025
Long-term debt
Debt instrument principal amount			$ 477,600,000	$ 477,600,000						€ 400,000,000
Debt instrument interest rate			3.75%	3.75%		3.75%		3.75%	3.75%	3.75%
Debt instrument maturity date			Sep. 15, 2025
Debt instrument, interest payment terms						bear interest at 3.75% per annum, payable semi-annually on March 15 and September 15 of each year, payments began on March 15, 2018;
Debt instrument, frequency of periodic payment of interest						semi-annually
Debt instrument, date of first semi-annual interest payment			--03-15
Debt instrument, date of second semi-annual interest payment			--09-15
Debt Instrument, date of first required semi-annual payment			Mar. 15, 2018
Debt instrument, redemption, description						have a maturity date of September 15, 2025. We may redeem the Old Notes at 100%, plus accrued and unpaid interest. If we experience certain specified change of control events as outlined in the indenture governing our Old Notes, we would be required to make an offer to purchase the Old Notes at 101% of the principal amount, plus accrued and unpaid interest. We would also be required to make an offer to purchase a specified portion of the Old Notes at par value, plus accrued and unpaid interest, in the event that we generate a certain amount of net proceeds from the sale of assets outside the ordinary course of business, and such net proceeds are not otherwise used for specified purposes within a specified time period as described in the indenture governing our Old Notes;
Debt instrument redemption price percent if experience certain specified change of control events				101.00%
Kronos International, Inc | 3.75% Senior Secured Notes due September 15, 2025 | On or After March 15, 2028
Long-term debt
Debt instrument, redemption price percentage				100.00%
Kronos International, Inc | 9.50% Senior Secured Notes
Long-term debt
Debt instrument, interest payment terms						bear interest at 9.50% per annum, payable semi-annually on March 15 and September 15 of each year, payments begin on September 15, 2024;
Debt instrument, frequency of periodic payment of interest						semi-annually
Debt instrument, date of first semi-annual interest payment					--03-15
Debt instrument, date of second semi-annual interest payment					--09-15
Debt Instrument, date of first required semi-annual payment					Sep. 15, 2024
Kronos International, Inc | 9.50% Senior Secured Notes | Collateral Pledged | Direct Domestic Subsidiary of KII and Guarantors | Subsequent event
Long-term debt
Ownership interest percentage owned by parent	100.00%						100.00%
Kronos International, Inc | 9.50% Senior Secured Notes | Collateral Pledged | Non US Subsidiary Directly Owned by KII or any Guarantor | Subsequent event
Long-term debt
Ownership interest percentage owned by parent	65.00%						65.00%
Kronos International, Inc | 9.50% Senior Secured Notes | Collateral Pledged | Non US Subsidiary Directly Owned by KII or any Guarantor | Non-voting Common Stock | Subsequent event
Long-term debt
Ownership interest percentage owned by parent	100.00%						100.00%