Intangible Assets, Net and Certain Cloud Computing Costs - Additional information (Details) - USD ($) $ / shares in Units, $ in Millions			3 Months Ended		9 Months Ended		12 Months Ended
	Jan. 01, 2022	Dec. 31, 2021	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021	Dec. 31, 2021
Intangible assets
Additional amortization expense related to two-year migration strategy			$ 5.8		$ 17.4
Additional amortization expense related to two-year migration strategy, per share			$ 0.04		$ 0.11
Net cloud computing costs		$ 2.6	$ 21.8		$ 21.8		$ 2.6
Cloud computing expense			$ 0.6		$ 1.1	$ 0.1
Weighted Average
Intangible assets
Weighted average remaining useful life					10 years 8 months 12 days		12 years
Maximum
Intangible assets
Cloud computing expense				$ 0.1
Trademarks | Weighted Average
Intangible assets
Weighted average remaining useful life	7 years 6 months	9 years 6 months			7 years 1 month 6 days		9 years 6 months