Operating expenses (Tables)

12 Months Ended

Dec. 31, 2021

Operating expenses

Schedule of Direct Operating Expenses

Year ended December 31,	2021		2020		2019
Ancillary and logistical service expenses	$	52,301	$	59,982	$	59,252
Employee compensation expenses		50,412		47,745		50,093
Buildings, facilities and technology expenses		10,187		9,886		7,865
Travel, advertising and promotion expenses		18,536		22,636		31,652
Other costs of services		15,426		17,047		16,115
	$	146,862	$	157,296	$	164,977

Schedule of Selling, General and Administrative Expenses

Year ended December 31,	2021		2020		2019
Wages, salaries and benefits	$	293,931	$	265,029	$	229,624
Share-based compensation expense		23,106		21,879		16,404
Buildings, facilities and technology expenses		73,490		62,755		61,177
Travel, advertising and promotion expenses		25,940		25,780		38,248
Professional fees		25,969		18,220		15,572
Other SG&A expenses		22,163		23,860		21,364
	$	464,599	$	417,523	$	382,389

Schedule Of Acquisition Related Expenses

Year ended December 31,	2021		2020		2019
SmartEquip:
Share-based continuing employment costs	$	439	$	—	$	—
Other acquisition-related costs		4,526		—		—
		4,965		—		—
Euro Auctions:
Other acquisition-related costs		13,596		—		—
		13,596		—		—
Rouse:
Share-based continuing employment costs		10,332		802		—
Other acquisition-related costs		1,304		5,212		—
		11,636		6,014		—
IronPlanet:
Other acquisition-related costs		—		—		82
Other acquisitions:
Continuing employment costs		—		—		128
Other acquisition-related costs		—		—		567
		—		—		777
	$	30,197	$	6,014	$	777

Schedule of Depreciation and Amortization Expenses

Year ended December 31,	2021		2020		2019
Depreciation expense	$	32,401	$	31,330	$	29,112
Amortization expense		55,488		43,591		41,389
	$	87,889	$	74,921	$	70,501