Segment and Geographic Area Information - Revenue by segment information (Details) $ in Thousands	3 Months Ended
	Mar. 31, 2023 USD ($) segment	Mar. 31, 2022 USD ($)
Segment information
Number of segments | segment	3
Revenue	$ 273,620	$ 279,398
Cost of revenue (exclusive of depreciation and amortization)	216,467	223,504
Segment profit	57,153	55,894
Selling, general and administrative expenses (exclusive of depreciation and amortization)	44,381	43,040
Depreciation and amortization	16,560	18,212
Related party expense	3,112	1,987
Interest expense, net	44,180	39,760
Debt modification and extinguishment costs (gain), net	(8,773)	884
Sundry expense, net	748	307
Other expense (income), net	(282)	6,159
Net loss before income taxes	(42,773)	(54,455)
I T P S Segment
Segment information
Revenue	193,708	205,007
Cost of revenue (exclusive of depreciation and amortization)	158,511	163,586
Segment profit	35,197	41,421
H S Segment
Segment information
Revenue	63,043	56,596
Cost of revenue (exclusive of depreciation and amortization)	46,736	46,731
Segment profit	16,307	9,865
L L P S Segment
Segment information
Revenue	16,869	17,795
Cost of revenue (exclusive of depreciation and amortization)	11,220	13,187
Segment profit	$ 5,649	$ 4,608