Stock-based compensation - Schedule of Stock-based Compensation Expense Recorded in Consolidated Statements of Operations (Detail) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2026	Sep. 30, 2025	Sep. 30, 2026	Sep. 30, 2025
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation, expense	$ 48,074	$ 33,979	$ 154,901	$ 79,408
Data and applications [Member]
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation, expense	1,214	894	3,735	2,198
Location, Statement of Income, Balance [Axis]: us-gaap:CostOfGoodsAndServicesSold
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation, expense	3,037	1,631	8,795	4,086
Location, Statement of Income, Balance [Axis]: us-gaap:ResearchAndDevelopmentExpense
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation, expense	5,432	3,301	15,284	7,618
Location, Statement of Income, Balance [Axis]: us-gaap:SellingGeneralAndAdministrativeExpense
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation, expense	30,437	22,690	100,986	53,439
Location, Statement of Income, Balance [Axis]: tem:TechnologyResearchAndDevelopmentExpenses
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]
Stock-based compensation, expense	$ 7,954	$ 5,463	$ 26,101	$ 12,067