RB Global (RBA) 10-Q 7 Nov 22 2022 Q3 Quarterly report Financial data

Document and Entity Information

Document and Entity Information - shares	9 Months Ended
	Sep. 30, 2022	Nov. 02, 2022
Document and Entity Information
Document Type	10-Q
Document Quarterly Report	true
Document Period End Date	Sep. 30, 2022
Document Transition Report	false
Entity File Number	001-13425
Entity Registrant Name	Ritchie Bros. Auctioneers Incorporated
Entity Incorporation, State or Country Code	CA
Entity Tax Identification Number	98-0626225
Entity Address, Address Line One	9500 Glenlyon Parkway
Entity Address, Address Line Two	Burnaby
Entity Address, City or Town	British Columbia
Entity Address, Country	CA
Entity Address, Postal Zip Code	V5J 0C6
City Area Code	778
Local Phone Number	331-5500
Title of 12(b) Security	Common shares
Trading Symbol	RBA
Security Exchange Name	NYSE
Entity Current Reporting Status	Yes
Entity Interactive Data Current	Yes
Entity Filer Category	Large Accelerated Filer
Entity Small Business	false
Entity Emerging Growth Company	false
Entity Shell Company	false
Entity Common Stock, Shares Outstanding		110,872,179
Entity Central Index Key	0001046102
Current Fiscal Year End Date	--12-31
Document Fiscal Year Focus	2022
Document Fiscal Period Focus	Q3
Amendment Flag	false

Condensed Consolidated Income S

Condensed Consolidated Income Statements - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Revenue:
Total revenue	$ 411,479	$ 329,682	$ 1,289,946	$ 1,057,598
Operating expenses:
Selling, general and administrative expenses	133,193	106,508	404,077	330,307
Acquisition-related costs	2,031	10,255	15,067	16,226
Depreciation and amortization expenses	24,290	21,907	72,813	64,912
Foreign exchange loss (gain)	(430)	360	(752)	788
Total operating expenses	347,858	277,131	1,071,786	871,271
Gain on disposition of property, plant and equipment	(333)	(1,068)	(170,499)	(1,311)
Operating income	63,954	53,619	388,659	187,638
Interest expense	(9,199)	(8,807)	(48,348)	(26,620)
Change in fair value of derivatives, net			1,263
Other income, net	2,866	602	5,426	2,800
Income before income taxes	57,621	45,414	347,000	163,818
Income tax expense	14,697	13,057	72,564	42,541
Net income	42,924	32,357	274,436	121,277
Net income (loss) attributable to:
Stockholders	42,909	32,336	274,368	121,273
Non-controlling interests	15	21	68	4
Net income	$ 42,924	$ 32,357	$ 274,436	$ 121,277
Earnings per share attributable to stockholders:
Basic	$ 0.39	$ 0.29	$ 2.48	$ 1.10
Diluted	$ 0.38	$ 0.29	$ 2.45	$ 1.09
Weighted average number of shares outstanding:
Basic	110,838,237	110,410,172	110,750,021	110,233,851
Diluted	112,209,535	111,391,396	111,858,095	111,333,247
Service Revenues [Member]
Revenue:
Total revenue	$ 246,696	$ 214,193	$ 778,059	$ 672,971
Operating expenses:
Direct expenses	41,521	35,108	125,575	114,275
Inventory Sales Revenue [Member]
Revenue:
Total revenue	164,783	115,489	511,887	384,627
Operating expenses:
Direct expenses	$ 147,253	$ 102,993	$ 455,006	$ 344,763

Condensed Consolidated Statemen

Condensed Consolidated Statements of Comprehensive Income - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Condensed Consolidated Statements of Comprehensive Income
Net income	$ 42,924	$ 32,357	$ 274,436	$ 121,277
Other comprehensive income (loss), net of income tax:
Foreign currency translation adjustment	(30,515)	(8,859)	(54,457)	(17,751)
Total comprehensive income	12,409	23,498	219,979	103,526
Total comprehensive income (loss) attributable to:
Stockholders	12,420	23,487	219,969	103,546
Non-controlling interests	(11)	11	10	(20)
Total comprehensive income	$ 12,409	$ 23,498	$ 219,979	$ 103,526

Condensed Consolidated Balance

Condensed Consolidated Balance Sheets - USD ($) $ in Thousands	Sep. 30, 2022	Dec. 31, 2021
Assets
Cash and cash equivalents	$ 438,771	$ 326,113
Restricted cash	76,303	102,875
Trade and other receivables	307,409	150,895
Less: allowance for credit losses	(3,963)	(4,396)
Inventory	101,302	102,494
Other current assets	27,512	64,346
Income taxes receivable	6,523	19,895
Total current assets	953,857	762,222
Restricted Cash		933,464
Property, plant and equipment	444,538	449,087
Other non-current assets	147,900	142,504
Intangible assets	323,228	350,516
Goodwill	946,770	947,715
Deferred tax assets	6,281	7,406
Total assets	2,822,574	3,592,914
Liabilities and Equity
Auction proceeds payable	441,439	292,789
Trade and other liabilities	266,139	280,308
Income taxes payable	38,678	5,677
Short-term debt	1,630	6,147
Current portion of long-term debt	4,296	3,498
Total current liabilities	752,182	588,419
Long-term debt	633,048	1,733,940
Other non-current liabilities	137,228	147,260
Deferred tax liabilities	60,916	52,232
Total liabilities	1,583,374	2,521,851
Commitments and Contingencies (Note 22 and Note 23 respectively)
Share capital:
Common stock; no par value, unlimited shares authorized, issued and outstanding shares: 110,791,788 (December 31, 2021: 110,618,049)	239,141	227,504
Additional paid-in capital	81,937	59,535
Retained earnings	1,028,096	839,609
Accumulated other comprehensive loss	(110,372)	(55,973)
Stockholders' equity	1,238,802	1,070,675
Non-controlling interest	398	388
Total stockholders' equity	1,239,200	1,071,063
Total liabilities and equity	$ 2,822,574	$ 3,592,914

Condensed Consolidated Balanc_2

Condensed Consolidated Balance Sheets (Parenthetical) - $ / shares	Sep. 30, 2022	Dec. 31, 2021
Condensed Consolidated Balance Sheets
Common stock, no par value	$ 0	$ 0
Common stock, issued shares	110,870,783	110,618,049
Common stock, outstanding shares	110,870,783	110,618,049

Condensed Consolidated Statem_2

Condensed Consolidated Statements of Changes in Equity - USD ($)	Common stock [Member]	Additional paid-in capital ("APIC") [Member]	Retained earnings [Member]	Accumulated other comprehensive loss [Member]	Non-controlling interest ("NCI") [Member]	Total
Balance at Dec. 31, 2020	$ 200,451,000	$ 49,171,000	$ 791,918,000	$ (34,295,000)	$ 5,154,000	$ 1,012,399,000
Balance, shares at Dec. 31, 2020	109,876,428
Net income			121,273,000		4,000	121,277,000
Other comprehensive loss				(17,727,000)	(24,000)	(17,751,000)
Comprehensive income			121,273,000	(17,727,000)	(20,000)	103,526,000
Stock option exercises	$ 17,099,000	(3,184,000)				13,915,000
Stock option exercises, shares	411,856
Issuance of common stock related to vesting of share units	$ 2,059,000	(11,384,000)				(9,325,000)
Issuance of common stock related to vesting of share units, shares	234,822
Share based continuing employment costs related to business combinations	$ (55,510)	7,938,000				$ 7,938,000
Shares forfeited						(55,510)
Stock option compensation expense		5,903,000				$ 5,903,000
Equity-classified share unit expense		9,465,000				9,465,000
Equity-classified share units dividend equivalents		358,000	(358,000)
Acquisition of remaining interest in NCI		(672,000)	70,000		(4,614,000)	(5,216,000)
Cash dividends paid			(76,144,000)		(104,000)	(76,248,000)
Balance at Sep. 30, 2021	$ 219,609,000	57,595,000	836,759,000	(52,022,000)	416,000	1,062,357,000
Balance, shares at Sep. 30, 2021	110,467,596
Balance at Jun. 30, 2021	$ 215,666,000	51,800,000	832,037,000	(43,173,000)	5,097,000	1,061,427,000
Balance, shares at Jun. 30, 2021	110,366,808
Net income			32,336,000		21,000	32,357,000
Other comprehensive loss				(8,849,000)	(10,000)	(8,859,000)
Comprehensive income			32,336,000	(8,849,000)	11,000	23,498,000
Stock option exercises	$ 3,942,000	(725,000)				3,217,000
Stock option exercises, shares	100,703
Issuance of common stock related to vesting of share units	$ 1,000	(7,000)				(6,000)
Issuance of common stock related to vesting of share units, shares	85
Share based continuing employment costs related to business combinations		2,707,000				2,707,000
Stock option compensation expense		2,133,000				2,133,000
Equity-classified share unit expense		2,283,000				2,283,000
Equity-classified share units dividend equivalents		76,000	(76,000)
Acquisition of remaining interest in NCI		(672,000)	69,000		(4,692,000)	(5,295,000)
Cash dividends paid			(27,607,000)			(27,607,000)
Balance at Sep. 30, 2021	$ 219,609,000	57,595,000	836,759,000	(52,022,000)	416,000	1,062,357,000
Balance, shares at Sep. 30, 2021	110,467,596
Balance at Dec. 31, 2021	$ 227,504,000	59,535,000	839,609,000	(55,973,000)	388,000	1,071,063,000
Balance, shares at Dec. 31, 2021	110,618,049
Net income			274,368,000		68,000	274,436,000
Other comprehensive loss				(54,399,000)	(58,000)	(54,457,000)
Comprehensive income			274,368,000	(54,399,000)	10,000	219,979,000
Stock option exercises	$ 7,090,000	(1,327,000)				5,763,000
Stock option exercises, shares	155,694
Issuance of common stock related to vesting of share units	$ 2,426,000	(6,143,000)				(3,717,000)
Issuance of common stock related to vesting of share units, shares	97,040
Share based continuing employment costs related to business combinations	$ 2,121,000	3,954,000				6,075,000
Stock option compensation expense		8,871,000				8,871,000
Equity-classified share unit expense		16,450,000				16,450,000
Equity-classified share units dividend equivalents		597,000	(597,000)
Cash dividends paid			(85,284,000)			(85,284,000)
Balance at Sep. 30, 2022	$ 239,141,000	81,937,000	1,028,096,000	(110,372,000)	398,000	1,239,200,000
Balance, shares at Sep. 30, 2022	110,870,783
Balance at Jun. 30, 2022	$ 235,244,000	73,014,000	1,015,301,000	(79,883,000)	409,000	1,244,085,000
Balance, shares at Jun. 30, 2022	110,791,788
Net income			42,909,000		15,000	42,924,000
Other comprehensive loss				(30,489,000)	(26,000)	(30,515,000)
Comprehensive income			42,909,000	(30,489,000)	(11,000)	12,409,000
Stock option exercises	$ 3,536,000	(636,000)				2,900,000
Stock option exercises, shares	75,511
Issuance of common stock related to vesting of share units	$ 58,000	(198,000)				(140,000)
Issuance of common stock related to vesting of share units, shares	3,484
Share based continuing employment costs related to business combinations	$ 303,000	1,560,000				1,863,000
Stock option compensation expense		3,249,000				3,249,000
Equity-classified share unit expense		4,766,000				4,766,000
Equity-classified share units dividend equivalents		182,000	(182,000)
Cash dividends paid			(29,932,000)			(29,932,000)
Balance at Sep. 30, 2022	$ 239,141,000	$ 81,937,000	$ 1,028,096,000	$ (110,372,000)	$ 398,000	$ 1,239,200,000
Balance, shares at Sep. 30, 2022	110,870,783

Condensed Consolidated Statem_3

Condensed Consolidated Statements of Cash Flows - USD ($) $ in Thousands	9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Operating activities:
Net income	$ 274,436	$ 121,277
Adjustments for items not affecting cash:
Depreciation and amortization expenses	72,813	64,912
Share-based payments expense	31,396	23,306
Deferred income tax expense	7,887	2,228
Unrealized foreign exchange (gain) loss	(5,340)	(98)
Gain on disposition of property, plant and equipment	(170,499)	(1,311)
Loss on redemption of 2021 Notes	4,792
Amortization of debt issuance costs	3,104	2,155
Amortization of right-of-use assets	13,929	9,458
Change in fair value of derivatives	(1,263)
Other, net	2,824	2,253
Net changes in operating assets and liabilities	29,827	79,938
Net cash provided by operating activities	263,906	304,118
Investing activities:
Acquisitions, net of cash acquired	(63)	728
Property, plant and equipment additions	(26,279)	(6,984)
Proceeds on disposition of property, plant and equipment	165,190	1,667
Intangible asset additions	(28,225)	(25,601)
Issuance of loans receivable	(7,027)	(2,622)
Repayment of loans receivable	4,744	436
Net cash provided by (used in) investing activities	108,340	(32,376)
Financing activities:
Dividends paid to stockholders	(85,284)	(76,144)
Acquisition of remaining interest in NCI		(5,556)
Dividends paid to NCI		(104)
Proceeds from exercise of options and share option plans	5,763	13,915
Payment of withholding taxes on issuance of shares	(3,860)	(9,160)
Net increase (decrease) in short-term debt	(4,176)	(9,271)
Repayment of long-term debt	(1,094,926)	(5,328)
Debt issue costs	(3,644)	(3,163)
Repayment of finance lease obligations	(7,877)	(8,445)
Net cash used in financing activities	(1,194,004)	(103,256)
Effect of changes in foreign currency rates on cash, cash equivalents, and restricted cash	(25,620)	(7,027)
Increase	(847,378)	161,459
Beginning of period	1,362,452	306,895
Cash, cash equivalents, and restricted cash, end of period	$ 515,074	$ 468,354

General Information

General Information	9 Months Ended
	Sep. 30, 2022
General Information
General Information	1. General information Ritchie Bros. Auctioneers Incorporated and its subsidiaries (collectively referred to as the “Company”, “Ritchie Bros.”, “we”, “us”, or “our”) provide a marketplace for insights, services and transaction solutions for commercial assets. The Company offers its customers end-to-end transaction solutions for used commercial and other durable assets through its omnichannel platform, which includes auctions, online marketplaces, listing services, and private brokerage services. The Company also offers a wide array of value-added services connected to commercial assets as well as asset management software and data as a service solutions to help customers make more accurate and reliable business decisions. Ritchie Bros. Auctioneers Incorporated is a company incorporated in Canada under the Canada Business Corporations Act, whose shares are publicly traded on the New York Stock Exchange (“NYSE”) and the Toronto Stock Exchange (“TSX”). ​

Significant accounting policies

Significant accounting policies	9 Months Ended
	Sep. 30, 2022
Significant accounting policies
Significant accounting policies	2. Significant accounting policies (a) Basis of preparation These unaudited condensed consolidated interim financial statements have been prepared in accordance with United States generally accepted accounting principles (“US GAAP”). They include the accounts of Ritchie Bros. Auctioneers Incorporated and its subsidiaries from their respective dates of formation or acquisition. All significant intercompany balances and transactions have been eliminated. Certain information and footnote disclosure required by US GAAP for complete annual financial statements have been omitted and, therefore, these unaudited condensed consolidated interim financial statements should be read in conjunction with the Company’s audited consolidated financial statements for the year ended December 31, 2021, included in the Company’s Annual Report on Form 10-K, filed with the Securities and Exchange Commission (“SEC”). These unaudited condensed consolidated interim financial statements follow the same accounting policies and methods of application as our most recent annual audited consolidated financial statements except as described in Note 2(b) “New and amended accounting standards and accounting policies”. In the opinion of management, these unaudited condensed consolidated interim financial statements reflect all adjustments, consisting of normal recurring adjustments, which are necessary to present fairly, in all material respects, the Company’s consolidated financial position, results of operations, cash flows and changes in equity for the interim periods presented. The preparation of financial statements in conformity with US GAAP requires management to make estimates and assumptions that affect the amounts reported in the financial statements and accompanying notes. Actual results could differ from those estimates. ​ Unless otherwise indicated, all amounts in the following tables are in thousands except share and per share amounts. ​ On February 24, 2022, the geopolitical situation in Eastern Europe intensified with Russia’s invasion of Ukraine, sharply ​ Reclassification Certain amounts in the prior period financial statements have been reclassified from selling, general and administrative expenses to costs of services for certain employee costs related to equipment inspections to conform to the presentation of the current period financial statements. ​ 2. Significant accounting policies (continued) ​ (b) New and amended accounting standards and accounting policies ​ New accounting policies ​ Sale and leaseback ​ The transfer of the asset shall not be accounted for as a sale if the leaseback would be classified as a finance lease or a sales-type lease. For sale and leaseback transactions, the Company applies the requirements of ASC 606 Revenue from Contracts with Customers Leases New and amended accounting standards In October 2021, the FASB issued ASU 2021-08, Business Combinations (Topic 805): Accounting for Contract Assets and Contract Liabilities from Contracts with Customers . The update primarily addresses the accounting for contract assets and contract liabilities from revenue contracts with customers acquired in a business combination. The update requires that an acquirer recognize and measure contract assets and contract liabilities acquired in a business combination in accordance with ASC 606 - Revenue from Contracts with Customers , whereas prior to the adoption of the update, contract assets acquired and contract liabilities assumed in a business combination were recognized at fair value on the acquisition date. The amendments in this update are effective for fiscal years beginning after December 15, 2022, including interim periods within those fiscal years. Early adoption of the amendments is permitted, including adoption in an interim period. An entity that early adopts in an interim period should apply the amendments (1) retrospectively to all business combinations for which the acquisition date occurs on or after the beginning of the fiscal year that includes the interim period of early application and (2) prospectively to all business combinations that occur on or after the date of initial application. The Company has early adopted the update as of October 1, 2021 and therefore has applied the amendments to all acquisitions completed since January 1, 2021, which includes only the acquisition of SmartEquip, which was completed on November 2, 2021. ​

Significant judgments, estimate

Significant judgments, estimates and assumptions	9 Months Ended
	Sep. 30, 2022
Significant judgments, estimates and assumptions
Significant judgments, estimates and assumptions	3. Significant judgments, estimates and assumptions The preparation of financial statements in conformity with US GAAP requires management to make judgments, estimates and assumptions that affect the reported amounts of assets and liabilities and the disclosure of contingent liabilities at the date of the financial statements, and the reported amounts of revenues and expenses during the reporting period. Future differences arising between actual results and the judgments, estimates and assumptions made by the Company at the reporting date, or future changes to estimates and assumptions, could necessitate adjustments to the underlying reported amounts of assets, liabilities, revenues and expenses in future reporting periods. Judgments, estimates and underlying assumptions are evaluated on an ongoing basis by management and are based on historical experience and other factors, including expectations of future events that are believed to be reasonable under the circumstances. However, existing circumstances and assumptions about future developments may change due to market changes or circumstances and such changes are reflected in the assumptions when they occur. Significant items subject to estimates and judgments during the nine months ended September 30, 2022 were made in accounting for the completed sale and leaseback transaction of our Bolton property (Note 15 & Note 21). The Company determined the following estimates in calculating the gain on sale: the present value of market rental payments of the Bolton property sold, the expected lease term in the leaseback arrangement and the Company’s incremental borrowing rate based on information available at the commencement date of the lease. ​ ​

Seasonality

Seasonality	9 Months Ended
	Sep. 30, 2022
Seasonality
Seasonality	4. Seasonality The Company’s operations are both seasonal and event driven. Revenue tends to be the highest during the second and fourth calendar quarters as the Company generally conducts more auctions during these quarters. Volumes tend to also be lower during the third quarter, as supply of used equipment is lower as it is actively being used and not available for sale. Late December through mid-February and mid-July through August are traditionally less active periods.

Business combinations

Business combinations	9 Months Ended
	Sep. 30, 2022
Business combinations
Business combinations	5. Business combinations ​ (a) SmartEquip acquisition On November 2, 2021, the Company acquired all of the issued and outstanding common shares of SmartEquip for a total cash purchase price of $173.7 million. During the first quarter of 2022, the Company finalized the net working capital adjustment under the purchase agreement and increased the purchase price by $0.1 million, resulting in a total purchase price of $173.8 million. SmartEquip is an innovative technology platform that supports customers' management of the equipment lifecycle and integrates parts procurement with both original equipment manufacturers and dealers. ​ The acquisition was accounted for in accordance with ASC 805, Business Combinations ​ SmartEquip purchase price allocation ​ ​ ​ ​ ​ Purchase price ​ $ 173,806 ​ ​ Assets acquired: ​ Cash and cash equivalents ​ ​ 2,039 Trade and other receivables ​ 2,926 Other current assets ​ ​ 486 Property, plant and equipment ​ 120 Other non-current assets ​ 75 Deferred tax assets ​ 5,098 Intangible assets ​ 71,700 ​ ​ Liabilities assumed: ​ Trade and other liabilities ​ 1,239 Deferred revenue ​ ​ 3,565 Other non-current liabilities ​ ​ 119 Deferred tax liabilities ​ 18,178 ​ ​ ​ ​ Fair value of identifiable net assets acquired ​ 59,343 Goodwill acquired on acquisition ​ $ 114,463 ​ The deferred tax assets are presented net of a valuation allowance of $5.8 million. ​ The following table summarizes the fair values of the identifiable intangible assets acquired: ​ ​ ​ ​ ​ ​ ​ ​ ​ Fair value ​ Weighted average Asset ​ at acquisition ​ amortization period Customer relationships ​ $ 50,700 ​ 4 - 15 years Software and technology assets ​ ​ 18,900 ​ 7 years Trade names and trademarks ​ ​ 1,000 ​ 3 years Backlog ​ ​ 1,100 ​ 2 years Total ​ $ 71,700 ​ 11.3 years ​ ​ 5. Business combinations (continued) ​ SmartEquip purchase price allocation (continued) ​ The amounts included in the SmartEquip provisional purchase price allocation are preliminary in nature and are subject to adjustment as additional information is obtained about the facts and circumstances that existed at the date of the acquisition. The final determination of the fair values of certain assets and liabilities will be completed within the measurement period of up to one year from the acquisition date. During the quarter ended September 30, 2022, the Company decreased the deferred tax asset acquired by $3.8 million to $5.1 million, with a corresponding adjustment to goodwill, as a result of additional information obtained about the facts and circumstances that existed at the date of the acquisition. ​ Goodwill ​ Goodwill has been assigned and allocated to “Other” for segmented information purposes and is based on an analysis of the fair value of net assets acquired. Goodwill relates to benefits expected from the acquisition of SmartEquip’s business, its assembled workforce and associated technical expertise, as well as anticipated synergies from applying the Company’s auction expertise and transactional capabilities to SmartEquip’s existing customer base. The transaction is considered a non-taxable business combination and the goodwill is not deductible for tax purposes. ​ Transactions recognized separately from the acquisition of assets and assumptions of liabilities ​ At the date of acquisition, the Company issued 63,971 common shares to certain previous shareholders of SmartEquip in return for their continuing employment service. The common shares are expected to vest one During the quarter ended September 30, 2022, the Company recorded $0.8 million of acquisition-related costs, of which $0.7 million related to share-based continuing employment costs. (b) Euro Auctions acquisition On August 9, 2021, the Company entered into a Sale and Purchase Agreement (“SPA”) pursuant to which it agreed to purchase Euro Auctions Limited, William Keys & Sons Holdings Limited, Equipment & Plant Services Ltd, and Equipment Sales Ltd. (collectively, “Euro Auctions”), each being a private limited company incorporated in Northern Ireland (the “Euro Auctions Acquisition”). ​ Under the terms of the SPA, the Company was to acquire all of the outstanding shares of Euro Auctions from their existing shareholders for approximately £ 775.0 million (approximately $1.02 billion) cash consideration, to be paid on closing.

Segmented information

Segmented information	9 Months Ended
	Sep. 30, 2022
Segmented information
Segmented information	6. Segmented information The Company’s principal business activity is the management and disposition of used industrial equipment and other durable assets. The Company’s operations are comprised of one reportable segment and other business activities that are not reportable as follows: ● Auctions and Marketplaces – This is the Company’s only reportable segment, which consists of the Company’s live onsite auctions, its online auctions and marketplaces, and its brokerage service; ● Other includes the results of Ritchie Bros. Financial Services (“RBFS”), Rouse, Mascus online services, SmartEquip, and the results from various value-added services and make-ready activities, including the Company’s equipment refurbishment services, and Ritchie Bros. Logistical Services (“RB Logistics”). ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended September 30, 2022 ​ Nine months ended September 30, 2022 ​ A&M Other Consolidated A&M Other Consolidated Service revenue: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Commissions ​ $ 108,238 ​ $ — ​ $ 108,238 ​ $ 361,016 ​ $ — ​ $ 361,016 Fees ​ ​ 85,689 ​ ​ 52,769 ​ ​ 138,458 ​ ​ 268,906 ​ ​ 148,137 ​ ​ 417,043 Total service revenue ​ ​ 193,927 ​ ​ 52,769 ​ ​ 246,696 ​ ​ 629,922 ​ ​ 148,137 ​ ​ 778,059 Inventory sales revenue ​ 164,783 ​ — ​ 164,783 ​ 511,887 ​ — ​ 511,887 Total revenue ​ $ 358,710 ​ $ 52,769 ​ $ 411,479 ​ $ 1,141,809 ​ $ 148,137 ​ $ 1,289,946 Costs of services ​ 24,601 ​ 16,920 ​ 41,521 ​ 79,160 ​ 46,415 ​ 125,575 Cost of inventory sold ​ 147,253 ​ — ​ 147,253 ​ 455,006 ​ — ​ 455,006 Selling, general and administrative ​ 116,337 ​ 16,856 ​ 133,193 ​ 350,684 ​ 53,393 ​ 404,077 Segment profit ​ $ 70,519 ​ $ 18,993 ​ $ 89,512 ​ $ 256,959 ​ $ 48,329 ​ $ 305,288 Acquisition-related costs ​ ​ ​ 2,031 ​ ​ ​ 15,067 Depreciation and amortization ​ ​ ​ 24,290 ​ ​ ​ 72,813 Foreign exchange gain ​ ​ ​ (430) ​ ​ ​ (752) Total operating expenses ​ ​ ​ ​ ​ ​ ​ $ 347,858 ​ ​ ​ ​ ​ ​ ​ $ 1,071,786 Gain on disposition of property, plant and equipment ​ ​ ​ 333 ​ ​ ​ 170,499 Operating income ​ ​ ​ $ 63,954 ​ ​ ​ $ 388,659 Interest expense ​ ​ ​ (9,199) ​ ​ ​ (48,348) Change in fair value of derivatives ​ ​ ​ ​ ​ ​ ​ ​ — ​ ​ ​ ​ ​ ​ ​ ​ 1,263 Other income, net ​ ​ ​ 2,866 ​ ​ ​ 5,426 Income tax expense ​ ​ ​ (14,697) ​ ​ ​ (72,564) Net income ​ ​ ​ $ 42,924 ​ ​ ​ $ 274,436 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended September 30, 2021 ​ Nine months ended September 30, 2021 ​ A&M Other Consolidated A&M Other Consolidated Service revenue: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Commissions ​ $ 110,275 ​ $ — ​ $ 110,275 ​ $ 343,584 ​ $ — ​ $ 343,584 Fees ​ ​ 68,607 ​ ​ 35,311 ​ ​ 103,918 ​ ​ 220,037 ​ ​ 109,350 ​ ​ 329,387 Total service revenue ​ ​ 178,882 ​ ​ 35,311 ​ ​ 214,193 ​ ​ 563,621 ​ ​ 109,350 ​ ​ 672,971 Inventory sales revenue ​ 115,489 ​ — ​ 115,489 ​ 384,627 ​ — ​ 384,627 Total revenue ​ $ 294,371 ​ $ 35,311 ​ $ 329,682 ​ $ 948,248 ​ $ 109,350 ​ $ 1,057,598 Costs of services ​ 22,728 ​ 12,380 ​ 35,108 ​ 72,208 ​ 42,067 ​ 114,275 Cost of inventory sold ​ 102,993 ​ — ​ 102,993 ​ 344,763 ​ — ​ 344,763 Selling, general and administrative ​ 94,203 ​ 12,305 ​ 106,508 ​ 296,199 ​ 34,108 ​ 330,307 Segment profit ​ $ 74,447 ​ $ 10,626 ​ $ 85,073 ​ $ 235,078 ​ $ 33,175 ​ $ 268,253 Acquisition-related costs ​ ​ ​ ​ 10,255 ​ ​ ​ 16,226 Depreciation and amortization ​ ​ ​ ​ 21,907 ​ ​ ​ 64,912 Foreign exchange loss ​ ​ ​ ​ ​ 360 ​ ​ ​ 788 Total operating expenses ​ ​ ​ ​ ​ ​ ​ $ 277,131 ​ ​ ​ ​ ​ ​ ​ $ 871,271 Gain on disposition of property, plant and equipment ​ ​ ​ ​ ​ 1,068 ​ ​ ​ 1,311 Operating income ​ ​ ​ ​ ​ $ 53,619 ​ ​ ​ $ 187,638 Interest expense ​ ​ ​ ​ (8,807) ​ ​ ​ (26,620) Other income, net ​ ​ ​ ​ 602 ​ ​ ​ 2,800 Income tax expense ​ ​ ​ (13,057) ​ ​ ​ (42,541) Net income ​ ​ ​ $ 32,357 ​ ​ ​ $ 121,277 6. Segmented information (continued) ​ The Chief Operating Decision Maker does not evaluate the performance of the Company’s operating segments or assess allocation of resources based on segment assets and liabilities, nor does the Company classify liabilities on a segmented basis. ​ The Company’s geographic breakdown of total revenue and location is as follows: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ United ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Total revenue for the three months ended: ​ States ​ Canada ​ Australia ​ Europe ​ Other ​ Consolidated September 30, 2022 ​ $ 258,117 ​ $ 74,866 ​ $ 37,225 ​ $ 27,149 ​ $ 14,122 ​ $ 411,479 September 30, 2021 ​ ​ 173,137 ​ 55,925 ​ ​ 46,488 ​ 40,620 ​ 13,512 ​ 329,682 Total revenue for the nine months ended: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, 2022 ​ $ 721,533 ​ $ 283,565 ​ $ 138,034 ​ $ 101,958 ​ $ 44,856 ​ $ 1,289,946 September 30, 2021 ​ ​ 563,942 ​ 203,093 ​ ​ 110,565 ​ 143,263 ​ 36,735 ​ 1,057,598 ​

Revenues

Revenues	9 Months Ended
	Sep. 30, 2022
Revenue
Revenues	7. Revenue The Company’s revenue from the rendering of services is as follows: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ September 30, ​ September 30, ​ 2022 ​ 2021 ​ 2022 ​ 2021 Service revenue: ​ ​ ​ ​ ​ Commissions ​ $ 108,238 ​ $ 110,275 ​ $ 361,016 ​ $ 343,584 Fees ​ 138,458 ​ 103,918 ​ 417,043 ​ 329,387 ​ ​ 246,696 ​ 214,193 ​ 778,059 ​ 672,971 Inventory sales revenue ​ 164,783 ​ 115,489 ​ 511,887 ​ 384,627 ​ ​ $ 411,479 ​ $ 329,682 ​ $ 1,289,946 ​ $ 1,057,598 ​

Operating expenses

Operating expenses	9 Months Ended
	Sep. 30, 2022
Operating expenses
Operating expenses	8. Operating expenses Costs of services ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, ​ September 30, ​ 2022 2021 2022 2021 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Employee compensation expenses ​ $ 16,912 ​ $ 14,253 ​ $ 49,878 ​ $ 43,736 Ancillary and logistical service expenses ​ ​ 14,418 ​ 11,433 ​ ​ 38,619 ​ 38,521 Travel, advertising and promotion expenses ​ ​ 4,351 ​ 3,205 ​ ​ 16,722 ​ 13,022 Other costs of services ​ ​ 3,280 ​ 3,721 ​ ​ 10,917 ​ 11,495 Buildings, facilities and technology expenses ​ ​ 2,560 ​ 2,496 ​ ​ 9,439 ​ 7,501 ​ ​ $ 41,521 ​ $ 35,108 ​ $ 125,575 ​ $ 114,275 ​ Selling, general and administrative ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, September 30, ​ 2022 2021 2022 2021 Wages, salaries and benefits ​ $ 80,532 ​ $ 64,810 ​ $ 242,319 ​ $ 209,699 Share-based compensation expense ​ ​ 8,806 ​ ​ 5,627 ​ ​ 27,833 ​ ​ 16,945 Buildings, facilities and technology expenses ​ 22,176 ​ 18,213 ​ 65,588 ​ 53,035 Travel, advertising and promotion expenses ​ 9,528 ​ 6,541 ​ 26,894 ​ 18,527 Professional fees ​ 6,946 ​ 6,323 ​ 24,309 ​ 16,557 Other selling, general and administrative ​ 5,205 ​ 4,994 ​ 17,134 ​ 15,544 ​ ​ $ 133,193 $ 106,508 ​ $ 404,077 ​ $ 330,307 ​ Acquisition-related costs ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, ​ September 30, ​ 2022 2021 2022 2021 SmartEquip: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share-based continuing employment costs ​ $ 674 ​ $ — ​ $ 1,999 ​ $ — Other acquisition-related costs ​ ​ 90 ​ ​ 1,101 ​ ​ 607 ​ ​ 1,101 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Euro Auctions: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Other acquisition-related costs ​ ​ 25 ​ ​ 6,133 ​ ​ 8,037 ​ ​ 6,133 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Rouse: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share-based continuing employment costs ​ ​ 1,189 ​ ​ 2,707 ​ ​ 4,077 ​ ​ 7,938 Other acquisition-related costs ​ ​ 53 ​ ​ 314 ​ ​ 347 ​ ​ 1,054 ​ ​ $ 2,031 ​ $ 10,255 ​ $ 15,067 $ 16,226 ​ Depreciation and amortization ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, September 30, ​ 2022 2021 2022 2021 Depreciation ​ $ 7,825 ​ $ 8,127 ​ $ 23,461 ​ $ 24,309 Amortization ​ 16,465 ​ 13,780 ​ 49,352 ​ 40,603 ​ ​ $ 24,290 ​ $ 21,907 ​ $ 72,813 ​ $ 64,912 ​

Income taxes

Income taxes	9 Months Ended
	Sep. 30, 2022
Income taxes
Income taxes	9. Income taxes ​ At the end of each interim period, the Company estimates the effective tax rate expected to be applicable for the full fiscal year. The estimate reflects, among other items, management’s best estimate of operating results. It does not include the estimated impact of foreign exchange rates or unusual and/or infrequent items, which may cause significant variations in the customary relationship between income tax expense and income before income taxes. ​ For the three months ended September 30, 2022, income tax expense was $14.7 million, compared to an income tax expense of $13.1 million for the same period in 2021. The effective tax rate was 26% in the third quarter of 2022, compared to 29% in the third quarter of 2021. ​ The effective tax rate decreased in the three months ended September 30, 2022 compared to the three months ended September 30, 2021 primarily due to a lower estimate of non-deductible expenses and lower income taxes related to tax uncertainties. Partially offsetting this decrease was higher estimated expenses related to the U.S. tax reform of 2017. ​ For the nine months ended September 30, 2022, income tax expense was $72.6 million, compared to an income tax expense of $42.5 million for the same period in 2021. The effective tax rate was 21% for the nine months ended September 30, 2022, compared to 26% for the nine months ended September 30, 2021. ​ The effective tax rate decreased in the nine months ended September 30, 2022 compared to the nine months ended September 30, 2021 primarily due to the non-taxable gain portion on the sale of a parcel of land including all buildings in Bolton, Ontario and a decrease in the estimate of non-deductible expenses. Partially offsetting this decrease was a higher estimate of income taxed in jurisdictions with higher tax rates and a lower tax deduction for performance share units (“PSUs”) and restricted share units (“RSUs”) expenses that exceeded the related compensation expense. ​ The Canada Revenue Agency (“CRA”) is currently conducting an audit of the Company’s 2014, 2015, 2017, 2018 and 2019 taxation years. Management believes that the Company is in full compliance with Canadian tax laws. However, the CRA could challenge the manner in which the Company has filed its income tax returns and reported its income. In the event that the CRA challenges the manner in which the Company has filed its tax returns and reported its income, the Company will have the option to appeal any such decision. If the Company is not successful, however, the CRA audit could potentially result in additional income taxes, penalties, and interest, which could have a material adverse effect on the Company. ​

Earnings per share attributable

Earnings per share attributable to stockholders	9 Months Ended
	Sep. 30, 2022
Earnings per share attributable to stockholders
Earnings per share attributable to stockholders	10. Earnings per share attributable to stockholders Basic earnings per share (“EPS”) attributable to stockholders was calculated by dividing the net income attributable to stockholders by the weighted average (“WA”) number of common shares outstanding during the period. Diluted EPS attributable to stockholders was calculated by dividing the net income attributable to stockholders by the weighted average number of shares of common stock outstanding if the potentially dilutive securities had been issued. Potentially dilutive securities include unvested PSUs, unvested RSUs, and outstanding stock options. The dilutive effect of potentially dilutive securities is reflected in diluted EPS by application of the treasury stock method. Under the treasury stock method, an increase in the fair market value of the Company’s common stock can result in a greater dilutive effect from potentially dilutive securities. ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, 2022 ​ September 30, 2022 ​ ​ Net income ​ WA ​ Per ​ Net income ​ WA ​ Per ​ attributable to number share ​ attributable to number share ​ stockholders of shares amount ​ stockholders of shares amount Basic ​ $ 42,909 110,838,237 ​ $ 0.39 ​ $ 274,368 110,750,021 ​ $ 2.48 Effect of dilutive securities: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share units ​ — 641,284 ​ — ​ — 496,273 ​ (0.01) Stock options ​ — 730,014 ​ (0.01) ​ — 611,801 ​ (0.02) Diluted ​ $ 42,909 112,209,535 ​ $ 0.38 ​ $ 274,368 111,858,095 ​ $ 2.45 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, 2021 ​ September 30, 2021 ​ ​ Net income ​ WA ​ Per ​ Net income ​ WA ​ Per ​ attributable to number share ​ attributable to number share ​ stockholders of shares amount stockholders of shares amount Basic ​ $ 32,336 ​ 110,410,172 ​ $ 0.29 ​ $ 121,273 110,233,851 ​ $ 1.10 Effect of dilutive securities: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share units ​ ​ — ​ 324,218 ​ ​ — ​ — 408,574 ​ — Stock options ​ ​ — ​ 657,006 ​ ​ — ​ — 690,822 ​ (0.01) Diluted ​ $ 32,336 ​ 111,391,396 ​ $ 0.29 ​ $ 121,273 111,333,247 ​ $ 1.09 ​

Supplemental cash flow informat

Supplemental cash flow information	9 Months Ended
	Sep. 30, 2022
Supplemental cash flow information
Supplemental cash flow information	11. Supplemental cash flow information ​ Net changes in operating assets and liabilities ​ ​ ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, ​ 2022 ​ 2021 ​ Trade and other receivables $ (175,690) $ (120,160) ​ Inventory ​ ​ (7,057) ​ ​ 16,926 ​ Advances against auction contracts ​ ​ (2,554) ​ ​ 3,132 ​ Prepaid expenses and deposits ​ ​ 19,268 ​ ​ 1,671 ​ Income taxes receivable ​ ​ 12,456 ​ ​ (4,923) ​ Auction proceeds payable ​ ​ 163,265 ​ ​ 217,423 ​ Trade and other liabilities ​ ​ (9,160) ​ ​ (13,684) ​ Income taxes payable ​ ​ 32,511 ​ ​ (12,278) ​ Operating lease obligation ​ ​ (9,757) ​ ​ (9,000) ​ Other ​ ​ 6,545 ​ ​ 831 ​ Net changes in operating assets and liabilities $ 29,827 $ 79,938 ​ ​ Interest and tax payments ​ ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, ​ 2022 ​ 2021 Interest paid, net of interest capitalized $ 35,956 $ 31,054 Interest received ​ ​ 3,242 ​ ​ 1,010 Net income taxes paid ​ ​ 19,164 ​ ​ 56,016 ​ ​ ​ ​ ​ ​ ​ Non-cash purchase of property, plant and equipment under finance lease ​ 7,543 ​ 6,173 Non-cash right of use assets obtained in exchange for new lease obligations ​ 19,895 ​ 13,545 ​ Cash, cash equivalents, and restricted cash ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, ​ December 31, ​ ​ ​ 2022 ​ 2021 ​ Cash and cash equivalents $ 438,771 ​ $ 326,113 ​ Restricted cash ​ ​ ​ ​ ​ ​ ​ Current ​ ​ 76,303 ​ ​ 102,875 ​ Non-current ​ ​ — ​ ​ 933,464 ​ Cash, cash equivalents, and restricted cash $ 515,074 ​ $ 1,362,452 ​ ​

Fair value measurement

Fair value measurement	9 Months Ended
	Sep. 30, 2022
Fair value measurement
Fair value measurement	12. Fair value measurement All assets and liabilities for which fair value is measured or disclosed in the consolidated financial statements are categorized within the fair value hierarchy, described as follows, based on the lowest level input that is significant to the fair value measurement or disclosure: ● Level 1: Unadjusted quoted prices in active markets for identical assets or liabilities that the entity can access at measurement date; ● Level 2: Inputs other than quoted prices included in Level 1 that are observable for the asset or liability, either directly or indirectly; and ● Level 3: Unobservable inputs for the asset or liability. ​ 12. Fair value measurement (continued) ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, 2022 ​ December 31, 2021 ​ ​ ​ ​ Carrying ​ ​ ​ ​ Carrying ​ ​ ​ ​ Category amount Fair value amount Fair value Fair values disclosed: ​ ​ ​ ​ Cash and cash equivalents Level 1 ​ $ 438,771 ​ $ 438,771 ​ $ 326,113 ​ $ 326,113 Restricted cash Level 1 ​ 76,303 ​ 76,303 ​ 1,036,339 ​ 1,036,339 Loans receivable ​ Level 2 ​ ​ 9,024 ​ ​ 8,853 ​ ​ 7,267 ​ ​ 7,267 Derivative financial assets ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Deal contingent forward contract ​ Level 3 ​ ​ — ​ ​ — ​ ​ 751 ​ ​ 751 Derivative financial liabilities ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Deal contingent forward contract ​ Level 3 ​ ​ — ​ ​ — ​ ​ 2,005 ​ ​ 2,005 Forward currency contracts ​ Level 2 ​ ​ 772 ​ ​ 772 ​ ​ — ​ ​ — Short-term debt Level 2 ​ 1,630 ​ 1,630 ​ 6,147 ​ 6,147 Long-term debt ​ ​ ​ ​ ​ ​ ​ ​ Senior unsecured notes (as defined in Note 17) ​ ​ ​ ​ ​ ​ ​ 2016 Notes ​ Level 1 ​ ​ 495,880 ​ ​ 490,000 ​ ​ 494,531 ​ ​ 508,125 2021 USD Notes ​ Level 2 ​ ​ — ​ ​ — ​ ​ 598,052 ​ ​ 625,125 2021 CAD Notes ​ Level 2 ​ ​ — ​ ​ — ​ ​ 332,337 ​ ​ 339,100 Term loan ​ Level 2 ​ ​ 84,513 ​ ​ 84,848 ​ ​ 92,821 ​ ​ 93,226 Long-term revolver loans Level 2 ​ 56,951 ​ 57,000 ​ 219,699 ​ 219,772 ​ The carrying value of the Company’s cash and cash equivalents, restricted cash, trade and other receivables, advances against auction contracts, loan receivables maturing within a year, auction proceeds payable, trade and other payables, and short-term debt approximate their fair values due to their short terms to maturity. The fair value of the loan receivables with a maturity date greater than one year are determined by estimating discounted cash flows using market rates. The carrying values of the term loan and long-term revolver loan, before deduction of deferred debt issue costs, approximate their fair values as the interest rates on the loans is short-term in nature. The fair values of the senior unsecured notes are determined by reference to a quoted market price of the notes traded in an over-the-counter broker market. ​ The Company holds derivative financial assets and liabilities that are required to be measured at fair value on a recurring basis. The fair values of the deal contingent forward contracts were determined using a probability weighted mark to market valuation and observable Level 2 inputs, including foreign currency spot exchange rates, forward pricing curves, and an unobservable Level 3 input, the expected date of settlement. The change in the valuation of the derivatives due to the range of possible expected settlement dates was not significant to the financial statements. The fair value of the forward currency contracts are determined using observable Level 2 inputs, including foreign currency spot exchange rates and forward pricing curves. The fair value considers the credit risk of the Company and its counterparties.

Derivative financial instrument

Derivative financial instruments	9 Months Ended
	Sep. 30, 2022
Derivative financial instruments
Derivative financial instruments	13. Derivative financial instruments ​ The Company’s derivative financial instruments are accounted for as derivatives under ASC 815, Derivatives and Hedging ​ The Company enters into forward currency contracts from time to time to manage its exposure to foreign currency exchange rate fluctuations recognized by its subsidiaries on specific monetary loan receivables. During the three and nine month periods ended September 30, 2022, a loss of $4.3 million and $5.6 million respectively was recognized for the change in fair values of the forward currency contracts within foreign exchange loss (gain) in the consolidated income statement. ​ The Company also held two deal contingent foreign exchange forward currency contracts to manage its exposure to foreign currency exchange rate fluctuations against the U.S. and Canadian dollar on £ 343.0 million £ 775.0 million £ £ ​

Trade and other receivables

Trade and other receivables	9 Months Ended
	Sep. 30, 2022
Trade and other receivables
Trade and other receivables	14. Trade and other receivables ​ Trade receivables are generally secured by the equipment that they relate to as it is Company policy that equipment is not released until payment has been collected. The following table presents the activity in the allowance for expected credit losses for the period ended September 30, 2022: ​ ​ ​ ​ ​ Balance at December 31, 2021 $ (4,396) Current period provision ​ (413) Write-offs charged against the allowance ​ 846 Balance at September 30, 2022 ​ $ (3,963) ​

Other current assets

Other current assets	9 Months Ended
	Sep. 30, 2022
Other current assets
Other current assets	15. Other current assets ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, ​ December 31, ​ 2022 2021 Advances against auction contracts ​ $ 5,580 ​ $ 4,102 Assets held for sale ​ 323 ​ 17,538 Prepaid expenses and deposits ​ 21,609 ​ 41,955 Derivative financial asset ​ ​ — ​ ​ 751 ​ ​ $ 27,512 ​ $ 64,346 ​ ​ ​ ​ ​ ​ ​ ​ Assets held for sale ​ ​ ​ ​ ​ Balance at December 31, 2021 $ 17,538 Reclassified from (to) property, plant and equipment ​ (10,148) Disposal ​ (7,067) Balance at September 30, 2022 ​ $ 323 ​ ​ ​ ​ ​ ​ ​ ​ On March 17, 2022, the Company completed the sale and leaseback of a parcel of land including all buildings, in Bolton, Ontario, for a total sale consideration of $208.2 million Canadian dollars (approximately $165 million) net of closing and transaction costs, and recognized a gain on disposition of property, plant and equipment of $169.1 million. The net book value of the Bolton property was $7.1 million. The payments for the lease were not considered to be at market rates given an initial two year rent free period and, accordingly, the Company adjusted the sales proceeds and the gain to fair value. The Bolton property continues to be used for auction operations under the operating leaseback agreement until the completion of the acquisition and development of a replacement property located in Amaranth, Ontario. (Note 21) ​ At December 31, 2021, the Company also classified vacant land in Casa Grande, Arizona with a net book value of $10.5 million as an asset held for sale. During the quarter ended June 30, 2022, the Company assessed that the property no longer met the asset held for sale criteria and therefore reclassified the net book value of the property to property, plant and equipment.

Other non-current assets

Other non-current assets	9 Months Ended
	Sep. 30, 2022
Other non-current assets
Other non-current assets	16. Other non-current assets ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, ​ December 31, ​ 2022 2021 Right-of-use assets ​ $ 116,566 ​ $ 114,414 Tax receivable ​ ​ 9,438 ​ ​ 10,289 Loans receivable ​ ​ 6,082 ​ ​ — Deferred debt issue costs ​ 3,920 ​ 5,236 Other ​ 11,894 ​ 12,565 ​ ​ $ 147,900 ​ $ 142,504 ​ The Company recognized a right-of-use asset of $16.6 million as a result of the sale and leaseback transaction on the Bolton property in March 2022 (Note 15 and 21). In June 2022, the Company also recognized a right-of-use asset of $9.0 million as a result of a new lease signed on an auction site in Maltby, United Kingdom. On September 28, 2022, the Company completed the purchase of the Maltby property for $13.5 million (12.6 million GBP) and as a result derecognized the right of use asset and recognized the asset in property, plant and equipment (Note 21). ​ ​ 16. Other non-current assets (continued) ​ Loans receivable At September 30, 2022, the Company participated in certain financing lending arrangements that are fully collateralized and secured by certain equipment. These financing lending arrangements have a term of one

Debt

Debt	9 Months Ended
	Sep. 30, 2022
Debt
Debt	17. Debt ​ ​ ​ ​ ​ ​ ​ ​ ​ Carrying amount ​ ​ September 30, ​ December 31, ​ 2022 2021 Short-term debt ​ $ 1,630 ​ $ 6,147 ​ ​ ​ ​ ​ ​ ​ Long-term debt: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Revolving facilities and delayed-draw term loan facility: ​ ​ ​ Delayed-draw term loan denominated in Canadian dollars, secured, bearing interest at a weighted average rate of 4.56%, due in monthly installments of interest only, maturing in September 2026 ​ 84,848 ​ 93,283 Long-term revolver loan denominated in Canadian dollars, secured, bearing interest at a weighted average rate of 2.29%, due in monthly installments of interest only, maturing in September 2026 ​ - ​ 46,206 Long-term revolver loan denominated in Canadian dollars, secured, bearing interest at a weighted average rate of 2.29%, due in monthly installments of interest only, maturing in September 2026 ​ - ​ 56,492 Long-term revolver loan denominated in U.S. dollars, secured, bearing interest at a weighted average rate of 3.97%, due in monthly installments of interest only, maturing in September 2026 ​ 57,000 ​ 117,000 Less: unamortized debt issue costs ​ (384) ​ (463) ​ ​ ​ ​ ​ ​ ​ Senior unsecured notes: ​ ​ ​ ​ Bearing interest at 5.375% due in semi-annual installments, with the full amount of principal due in January 2025 (the "2016 Notes") ​ 500,000 ​ 500,000 Less: unamortized debt issue costs ​ (4,120) ​ (5,469) Bearing interest at 4.75% due in semi-annual installments, with the full amount of principal due in December 2031 (the "2021 USD Notes") ​ ​ - ​ ​ 600,000 Less: unamortized debt issue costs ​ ​ - ​ ​ (1,948) Bearing interest at 4.95% due in semi-annual installments, with the full amount of principal due in December 2029 (the "2021 CAD Notes") ​ ​ - ​ ​ 333,464 Less: unamortized debt issue costs ​ ​ - ​ ​ (1,127) Total long-term debt ​ 637,344 ​ 1,737,438 ​ ​ ​ ​ ​ ​ ​ Total debt ​ $ 638,974 ​ $ 1,743,585 ​ ​ ​ ​ ​ ​ ​ Long-term debt: ​ ​ Current portion ​ $ 4,296 ​ $ 3,498 Non-current portion ​ 633,048 ​ 1,733,940 Total long-term debt ​ $ 637,344 ​ $ 1,737,438 ​ At September 30, 2022, the Company had unused committed revolving credit facilities aggregating $681.2 million that are available until September 2026 subject to certain covenant restrictions, unused uncommitted revolving credit facilities aggregating $5.0 million that are available until October 2023, and unused uncommitted revolving credit facilities aggregating $5.0 million with no maturity date. ​ 17. Debt (continued) ​ Short-term debt ​ Short-term debt is comprised of drawings in different currencies on the Company’s committed revolving credit facilities and has a weighted average interest rate of 1.8% at September 30, 2022 (at December 31, 2021: 1.8%). Long-term debt ​ a) Revolving facilities and delayed-draw term loan facility ​ During 2016, the Company entered into a credit agreement with a syndicate of lenders. The credit agreement is comprised of multicurrency revolving facilities (the “Revolving Facilities”) and a delayed-draw term loan facility (the “DDTL Facility”, together with the Revolving Facilities, the “Facilities”). The credit agreement was most recently amended in September 2021, which, among other things (i) extended the maturity date of the Facilities from October 27, 2023 to September 21, 2026, (ii) increased the total size of the Facilities provided under the Credit Agreement to up to $1.0 billion, including $295.0 million of commitments under the DDTL Facility, (iii) reduced the applicable margin for base rate loans and LIBOR loans at each pricing tier level, (iv) reduced the applicable percentage per annum used to calculate the commitment fee in respect of the unused commitments under the Facilities at each pricing tier level, and (v) included customary provisions to provide for the eventual replacement of LIBOR as a benchmark interest rate. ​ Immediately prior to the amendment, the aggregate principal amount outstanding under the DDTL Facility was $90.0 million ($118.9 million Canadian dollars). In connection with the amendment, the Company refinanced that amount with the proceeds from a borrowing under the DDTL Facility. Under the terms of the amendment, there were no mandatory principal repayments of borrowings under the DDTL Facility until the earlier of when the remaining $205.0 million is drawn or the third quarter of 2022. The Company did not draw on the remaining $205.0 million before it expired on June 28, 2022 and, therefore, mandatory principal repayments began in the third quarter of 2022. The principal payments are subject to an annual amortization rate of 5%, payable in quarterly installments, with the balance payable at maturity. As a result of the expiry of the unused portion of the DDTL Facility in the second quarter of 2022, the Company wrote off $0.7 million of deferred debt issuance costs included in non-current assets to interest expense. ​ At September 30, 2022, the Company had unamortized deferred debt issue costs relating to the Facilities of $4.3 million. ​ b) Senior unsecured notes ​ 2016 Notes On December 21, 2016, the Company completed the offering of $500.0 million aggregate principal amount of 5.375% senior unsecured notes due January 15, 2025 (the “2016 Notes”). Interest on the 2016 Notes is payable semi-annually. The 2016 Notes are jointly and severally guaranteed on an unsecured basis, subject to certain exceptions, by certain of the Company’s subsidiaries. IronPlanet, Rouse, SmartEquip, and certain of their respective subsidiaries were added as additional guarantors in connection with the acquisitions of IronPlanet, Rouse and SmartEquip, respectively. ​ 2021 Notes ​ On December 21, 2021, the Company completed the offering of two series of senior notes: (i) $600.0 million aggregate principal amount of 4.750% senior notes due December 15, 2031 (the “2021 USD Notes”) and (ii) $425.0 million Canadian dollar aggregate principal amount of 4.950% senior notes due December 15, 2029 (the “2021 CAD Notes”, and together with the 2021 USD Notes, the “2021 Notes”). ​ The gross proceeds from the 2021 Notes offering together with certain additional amounts including prepaid interest were placed into escrow accounts and

Other non-current liabilities

Other non-current liabilities	9 Months Ended
	Sep. 30, 2022
Other non-current liabilities
Other non-current liabilities	18. Other non-current liabilities ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, ​ December 31, ​ 2022 2021 Operating lease liability ​ $ 103,824 ​ $ 109,882 Tax payable ​ ​ 16,928 ​ ​ 18,859 Finance lease liability ​ 12,732 ​ 13,983 Other ​ 3,744 ​ 4,536 ​ ​ $ 137,228 ​ $ 147,260 ​

Equity and dividends

Equity and dividends	9 Months Ended
	Sep. 30, 2022
Equity and dividends
Equity and dividends	19. Equity and dividends Share capital Common stock Unlimited number of common shares, without par value. Preferred stock ​ Unlimited number of senior preferred shares and junior preferred shares, without par value, issuable in series. All issued shares are fully paid. No preferred shares have been issued. ​ Shares issued for business combinations The Company has issued the following common shares in connection with the acquisitions of Rouse and SmartEquip. These shares were issued to certain previous unitholders and shareholders of Rouse and SmartEquip, based on the fair market value of the Company’s common shares at the acquisition date. The Company records share-based continuing employment costs in acquisition-related costs over the vesting period, with an increase to additional paid-in capital. The vesting of shares issued for business combinations is subject to continuing employment with the Company over various dates over a three year period from their respective acquisition dates. As and when the common shares vest, the Company will recognize the fair value of the issued common shares from additional paid-in capital to share capital. ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Rouse ​ SmartEquip ​ Total ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Weighted average ​ Common ​ Fair value ​ Common ​ Fair value Common ​ fair value ​ shares ​ per common ​ shares ​ per common shares ​ per common ​ issued shares issued shares issued shares Outstanding, December 31, 2021 189,665 ​ $ 71.09 ​ 63,971 ​ $ 68.39 ​ 253,636 ​ $ 70.41 Granted — ​ ​ — ​ — ​ ​ — ​ — ​ ​ — Vested (32,452) ​ ​ 71.09 ​ — ​ ​ — ​ (32,452) ​ ​ 71.09 Forfeited — ​ ​ — ​ — ​ ​ — ​ — ​ ​ — Outstanding, September 30, 2022 157,213 ​ $ 71.09 ​ 63,971 ​ $ 68.39 ​ 221,184 ​ $ 70.31 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Outstanding, December 31, 2020 312,193 ​ $ 71.09 ​ — ​ $ — ​ 312,193 ​ $ 71.09 Granted — ​ ​ — ​ — ​ ​ — ​ — ​ ​ — Vested — ​ ​ — ​ — ​ ​ — ​ — ​ ​ — Forfeited (55,510) ​ ​ 71.09 ​ — ​ ​ — ​ (55,510) ​ ​ 71.09 Outstanding, September 30, 2021 256,683 ​ $ 71.09 ​ — ​ $ — ​ 256,683 ​ $ 71.09 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ In the three months ended September 30, 2022, the Company recognized $0.3 million of share capital from additional paid-in capital for the portion of common shares previously issued in connection with the acquisition of Rouse that have vested as of September 30, 2022. 19. Equity and dividends (continued) Shares issued for business combinations (continued) At September 30, 2022, the unrecognized share-based continuing employment cost was $4.7 million (at September 30, 2021: $9.2 million), which is expected to be recognized over a weighted average period of 1.2 years. ​ Change in non-controlling interest On September 13, 2021, the Company purchased the remaining 25% membership interest of Xcira, LLC, a Delaware limited liability company, for a purchase price of $5.6 million. The transaction increased the Company’s ownership interest in Xcira, LLC to 100%. ​ Dividends ​ Declared and paid The Company declared and paid the following dividends during the nine months ended September 30, 2022 and 2021: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Dividend ​ Total ​ ​ ​ Declaration date ​ per share ​ Record date ​ dividends ​ Payment date ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2022: ​ ​ Fourth quarter 2021 ​ January 21, 2022 ​ $ 0.2500 ​ February 11, 2022 ​ $ 27,659 ​ March 4, 2022 First quarter 2022 ​ May 6, 2022 ​ ​ 0.2500 ​ May 27, 2022 ​ ​ 27,693 ​ June 17, 2022 Second quarter 2022 ​ August 3, 2022 ​ ​ 0.2700 ​ August 24, 2022 ​ ​ 29,932 ​ September 14, 2022 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2021: ​ ​ ​ ​ ​ Fourth quarter 2020 ​ January 22, 2021 ​ $ 0.2200 ​ February 12, 2021 ​ $ 24,181 ​ March 5, 2021 First quarter 2021 ​ May 7, 2021 ​ ​ 0.2200 ​ May 26, 2021 ​ ​ 24,279 ​ June 16, 2021 Second quarter 2021 ​ August 4, 2021 ​ ​ 0.2500 ​ August 25, 2021 ​ ​ 27,607 ​ September 15, 2021 ​ ​ Declared and undistributed Subsequent to September 30, 2022, the Company’s Board of Directors declared a quarterly dividend of $0.27 cents per common share, payable on December 14, 2022 to stockholders of record on November 23, 2022. This dividend payable has not been recognized as a liability in the consolidated financial statements. The payment of this dividend is expected to not have any tax consequences for the Company. ​ Foreign currency translation reserve Foreign currency translation adjustments within other comprehensive income include intra-entity foreign currency transactions that are of a long-term investment nature, which generated a net loss of $10.2 million and $19.6 million for the three and nine months ended September 30, 2022 (three and nine months ended 2021: net loss of $3.3 million, and $5.9 million) respectively.

Share-based payments

Share-based payments	9 Months Ended
	Sep. 30, 2022
Share-based payments
Share-based payments	20. Share-based payments Share-based payments consist of the following compensation costs: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended Nine months ended ​ ​ ​ September 30, ​ September 30, ​ ​ 2022 2021 2022 2021 ​ Selling, general and administrative: ​ ​ ​ ​ ​ Stock option compensation expense ​ $ 3,249 ​ $ 2,133 ​ $ 8,871 ​ $ 5,903 ​ Equity-classified share units ​ ​ 4,759 ​ ​ 2,283 ​ ​ 16,450 ​ ​ 9,840 ​ Liability-classified share units ​ ​ 108 ​ ​ 527 ​ ​ 427 ​ ​ (862) ​ Employee share purchase plan - employer contributions ​ 690 ​ 684 ​ 2,085 ​ 2,064 ​ ​ ​ ​ 8,806 ​ ​ 5,627 ​ ​ 27,833 ​ ​ 16,945 ​ Acquisition-related costs: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share-based continuing employment costs ​ 1,863 ​ 2,707 ​ 6,075 ​ 7,938 ​ ​ ​ 1,863 ​ 2,707 ​ 6,075 ​ 7,938 ​ ​ ​ $ 10,669 ​ $ 8,334 ​ $ 33,908 ​ $ 24,883 ​ ​ Stock option plans ​ The Company has the following three stock option plans that provide for the award of stock options and premium-priced stock options to selected employees, directors, and officers of the Company: (i) Amended and Restated Stock Option Plan, (ii) IronPlanet 1999 Stock Plan, and (iii) IronPlanet 2015 Stock Plan. ​ ​ Stock option activity for the nine months ended September 30, 2022 is presented below: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Stock options ​ Premium-priced stock options ​ ​ ​ ​ ​ ​ WA ​ ​ ​ ​ ​ ​ ​ ​ ​ WA ​ ​ ​ ​ Common ​ WA ​ remaining ​ Aggregate ​ Common ​ WA ​ remaining ​ Aggregate ​ shares under ​ exercise ​ contractual ​ intrinsic ​ shares under ​ exercise ​ contractual ​ intrinsic ​ option price life (in years) value option price life (in years) value Outstanding, December 31, 2021 2,208,057 ​ $ 42.55 ​ ​ 7.7 ​ $ 41,884 ​ 1,017,064 ​ $ 91.24 ​ ​ 5.7 ​ $ — Granted 697,536 ​ ​ 58.14 ​ — ​ — ​ 119,157 ​ ​ 91.37 ​ ​ — ​ ​ — Exercised (155,694) ​ ​ 37.02 ​ ​ — ​ ​ 4,359 ​ — ​ ​ — ​ ​ — ​ ​ — Forfeited (20,662) ​ ​ 47.96 ​ — ​ — ​ (17,789) ​ ​ 90.93 ​ — ​ — Outstanding, September 30, 2022 2,729,237 ​ $ 46.81 ​ ​ 7.6 ​ $ 43,405 ​ 1,118,432 ​ $ 91.26 ​ ​ 4.9 ​ $ — Exercisable, September 30, 2022 1,280,995 ​ $ 37.62 ​ ​ 6.3 ​ $ 31,859 ​ — ​ $ — ​ — ​ $ — ​ Stock options ​ The Company uses the Black Scholes option pricing model to fair value stock options. Significant assumptions used to estimate the fair value of stock options granted during the nine months ended September 30, 2022 and 2021 are presented in the following table on a weighted average basis: ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2022 2021 Risk free interest rate 2.2 % 0.5 % Expected dividend yield 1.74 % 1.66 % Expected lives of the stock options 4 years 4 years Expected volatility 31.8 % 32.3 % ​ At September 30, 2022, the unrecognized stock-based compensation cost related to the non-vested stock options was $9.4 million, which is expected to be recognized over a weighted average period of 2.2 years. ​ ​ 20. Share-based payments (continued) ​ Premium-priced stock options ​ The Company also grants premium-priced stock options to the senior executives with exercise prices above the fair market value of the Company’s common shares on grant dates. The premium-priced stock options vest and become exercisable upon the third anniversary of their grant date. The premium-priced stock options granted in August and November 2021 expire on the sixth anniversary of their grant date, and those granted in June 2022 expire in August 2027 to coincide with the expiry of the August 2021 grant. The fair values of the premium-priced stock options were calculated on the grant date using a Monte Carlo simulation model. The weighted average estimated grant date fair value of premium-priced options during the three month period ended June 30, 2022 was $8.00 per option. There were no premium-priced stock options granted during the three month period ended September 30, 2022. ​ The significant assumptions used to estimate the fair values were as follows: ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2022 2021 ​ Risk free interest rate 3.0 % 1.00 % Expected dividend yield 1.63 % 1.66 % Expected lives of the stock options ​ 4 years 5 years Expected volatility 30.2 % 30.6 % ​ At September 30, 2022, the unrecognized stock-based compensation cost related to the premium-priced stock options was $6.4 million, which is expected to be recognized over a weighted average period of 2.1 years. ​ Share unit plans ​ Share unit activity for the nine months ended September 30, 2022 is presented below: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Equity-classified awards ​ Liability-classified awards ​ ​ PSUs ​ PSUs with Market Conditions ​ RSUs ​ DSUs ​ ​ ​ ​ WA grant ​ ​ ​ WA grant ​ ​ ​ WA grant ​ ​ ​ ​ WA grant ​ ​ ​ ​ date fair ​ ​ ​ date fair ​ ​ ​ date fair ​ ​ ​ ​ date fair ​ Number value Number value Number value ​ Number value Outstanding at December 31, 2021 523,618 ​ $ 45.90 ​ 88,305 ​ $ 65.45 ​ 79,112 ​ $ 54.96 ​ 156,589 ​ $ 35.28 Granted 230,122 ​ 58.68 ​ 14,574 ​ 69.92 ​ 34,135 ​ 57.70 ​ 16,182 ​ 59.57 Vested and settled (93,241) ​ 36.42 ​ — ​ — ​ (27,850) ​ 44.02 ​ — ​ — Forfeited (3,503) ​ 50.97 ​ — ​ — ​ (6,070) ​ 59.67 ​ — ​ — Outstanding at September 30, 2022 656,996 ​ $ 51.70 ​ 102,879 ​ $ 66.08 ​ 79,327 ​ $ 59.62 ​ 172,771 ​ $ 37.55 ​ The total market value of liability-classified share units vested and released during the first nine months of 2022 was nil (at December 31, 2021: nil). ​ Senior executive and employee PSU plans The Company grants PSUs under a senior executive PSU plan and an employee PSU plan (the “PSU Plans”). Under the PSU Plans, the number of PSUs that vest is conditional upon specified market, service, and/or performance vesting conditions being met. The PSU Plans allow the Company to choose whether to settle the awards in cash or in shares. The Company intends to settle by issuance of shares. With respect to settling in shares, the Company has the option to either (i) arrange for the purchase of shares on the open market on the employee’s behalf based on the cash value that otherwise would be delivered, or (ii) issue a number of shares equal to the number of units that vest. Fair values of equity-classified PSUs are estimated on grant date using the market close price of the Company's common shares listed on the NYSE, as these are not subject to market vesting conditions. At September 30, 2022, the unrecognized share unit expense related to equity-classified PSU’s was $17.8 million, which is expected to be recognized over a weighted average period of 1.9 years. 20. Share-based payments (continued) ​ PSUs with market conditions ​ The Company also grants PSUs to senior executives with a market condition where vesting is conditional upon the total stockholder return performance of the Company’s stock relative to the performance of a peer group over a three year performance period from the date of grant. The PSUs granted in August and November 2021 have a three year performance period and the PSUs granted in June 2022 have approximately a 2 year performance period to coincide with the remaining performance period of the August 2021 grant. The fair value per PSU granted during the three month period ended June 30, 2022 of $69.92 was calculated on the grant date using the Monte Carlo simulation model which takes into consideration a required post-vesting holding period of one year with a discount value of $5.34 per PSU. The discount was calculated using the Chaffe Protective Put Method and an effective tax rate of 35%. There were no PSUs with market conditions granted in the three month period ended September 30, 2022. ​ The significant assumptions used to estimate the fair value are presented in the following table: ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2022 2021 ​ Risk free interest rate 2.7 % 0.5 % Expected dividend yield 1.63 % 1.63 % Expected lives of the PSUs ​ 2 years 3 years Expected volatility 33.4 % 31.0 % Average expected volatility of comparable companies ​ 34.4 % 38.6 % ​ At September 30, 2022, the unrecognized share unit expense related to equity-classified PSUs with market conditions was $4.5 million, which is expected to be recognized over a weighted average period of 1.9 years. ​ RSUs ​ The Company has restricted share unit plans (RSU plans) that are equity-settled and not subject to market vesting conditions. Fair values of RSUs are estimated on grant date using the market close price of the Company's common shares listed on the NYSE. At September 30, 2022, the unrecognized share unit expense related to equity-classified RSUs was $2.1 million, which is expected to be recognized over a weighted average period of 1.5 years. DSUs The Company has deferred share unit plans (DSU plans) that are cash-settled and not subject to market vesting conditions. Fair values of deferred share units (“DSUs”) are estimated on grant date and at each reporting date using the market close price of the Company’s common shares listed on the NYSE. DSUs are granted under the DSU plan to members of the Board of Directors. There is no unrecognized share unit expense related to liability-classified DSUs as they vest immediately and are expensed upon grant. At September 30, 2022, the Company had a total share unit liability of $11.3 million (at December 31, 2021: $10.1 million) in respect of share units under the DSU plans. Employee share purchase plan The Company has an employee share purchase plan that allows all employees that have completed two months of service to contribute funds to purchase common shares at the current market value at the time of share purchase. Employees may contribute up to 4% of their salary. The Company will match between 50% and 100% of the employee’s contributions, depending on the employee’s length of service with the Company.

Leases

Leases	9 Months Ended
	Sep. 30, 2022
Leases
Leases	21. Leases ​ The Company enters into commercial leases for various auctions sites and offices, the majority of which are non-cancellable, and additional operating leases for computer equipment, motor vehicles and small office equipment. The majority of the Company’s operating leases have a fixed term with a remaining life between one month and 18 years, with renewal options included in the contracts. The leases have varying contract terms, escalation clauses and renewal options. The Company also enters into finance lease arrangements for certain vehicles, computer and yard equipment and office furniture, the majority of these leases have a fixed term with a remaining life of one month to six years with renewal options included in the contracts. On March 17, 2022, the Company completed the sale and leaseback of its Bolton property, a parcel of land including all buildings, in Bolton, Ontario (Note 15). The Company intends to lease the Bolton property for a period of 28 months until such time that the replacement property is available for the relocation of the Company’s operations. The lease has an initial rent-free period of two years and an option to renew the lease for two On June 30, 2022, the Company also recorded $9.0 million in ROU asset and a long term lease liability The Company’s breakdown of lease expense is as follows: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, ​ September 30, ​ ​ 2022 ​ 2021 ​ 2022 2021 Operating lease cost ​ $ 6,135 ​ $ 4,592 ​ $ 17,075 $ 13,584 Finance lease cost ​ ​ ​ ​ ​ ​ ​ ​ ​ Amortization of leased assets ​ 2,457 ​ ​ 2,693 ​ 7,705 ​ 8,096 Interest on lease liabilities ​ 202 ​ ​ 196 ​ 562 ​ 622 Short-term lease cost ​ 2,818 ​ ​ 2,845 ​ 9,182 ​ 7,428 Sublease income ​ — ​ ​ (15) ​ — ​ (45) ​ ​ $ 11,612 ​ $ 10,311 ​ $ 34,524 $ 29,685 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

Commitments

Commitments	9 Months Ended
	Sep. 30, 2022
Commitments
Commitments	22. Commitments Commitment for inventory purchases The Company was awarded two new contracts with the United States Government Defense Logistics Agency (the “DLA”) on April 1, 2021. The new contracts (one for the Eastern portion of the United States and one for the Western portion of the United States) cover both surplus non-rolling and rolling stock. Both contracts commenced on June 1, 2021 and have a base term of two years with three one-year renewal options. During the first two years of the contracts, the Company is committed to purchase on a combined basis up to either: (i) 600,000 assets, or (ii) assets with an expected minimum value of up to $77.0 million; whichever is less. At September 30, 2022, the Company has purchased 328,685 assets with a total value of $71.6 million pursuant to the two year period of this contract, which commenced on June 1, 2021. ​

Contingencies

Contingencies	9 Months Ended
	Sep. 30, 2022
Contingencies
Contingencies	23. Contingencies Legal and other claims The Company is subject to legal and other claims that arise in the ordinary course of its business. Management does not believe that the results of these claims will have a material effect on the Company’s consolidated balance sheet or consolidated income statement. ​ 23. Contingencies (continued) Guarantee contracts In the normal course of business, the Company will in certain situations guarantee to a consignor a minimum level of proceeds in connection with the sale at auction of that consignor’s equipment. At September 30, 2022, there were $41.2 million of assets guaranteed under contract, of which 80% is expected to be sold prior to December 31, 2022, with the remainder to be sold by December 31, 2023 (at December 31, 2021: $43.5 million of which 61% was expected to be sold prior to the end of March 31, 2022 with the remainder to be sold by December 31, 2022). The outstanding guarantee amounts are undiscounted and before estimated proceeds from sale at auction. ​

Subsequent events

Subsequent events	9 Months Ended
	Sep. 30, 2022
Subsequent events
Subsequent Events	24. Subsequent event ​ On November 7, 2022, we entered into an Agreement and Plan of Merger and Reorganization (the “Merger Agreement”) with IAA, Inc. (“IAA”), Ritchie Bros. Holdings Inc., a Washington corporation and a direct and indirect wholly owned subsidiary of the Company (“US Holdings”), Impala Merger Sub I, LLC, a Delaware limited liability company and a direct wholly owned subsidiary of US Holdings (“Merger Sub 1”), and Impala Merger Sub II, LLC, a Delaware limited liability company and a direct wholly owned subsidiary of US Holdings (“Merger Sub 2”), providing for our acquisition of IAA for total consideration as of the date hereof of approximately $7.3 billion, including the assumption of approximately $1.0 billion of net debt. Upon the terms and subject to the conditions set forth in the Merger Agreement, . ​ Consummation of the Mergers is subject to the satisfaction of various conditions, including, among other things, (1) the approval of the issuance of our common shares by the affirmative vote of a majority of the votes cast by holders of our outstanding common shares, (2) the adoption of the Merger Agreement by holders of a majority of the outstanding shares of IAA’s common stock, (3) certain approvals, clearances and/or expirations of waiting periods under applicable antitrust laws and (4) other customary closing conditions. ​ In connection with the proposed Mergers, on November 7, 2022, the Company entered into (A) a commitment letter (the “Commitment Letter”) with Goldman Sachs Bank USA (acting through such of its affiliates or branches as it deems appropriate, “GS Bank”), Bank of America, N.A. (“BANA”), BofA Securities, Inc. (or any of its designated affiliates, “BofA Securities”, and, together with BANA, “BofA”), Royal Bank of Canada (“Royal Bank”), RBC Capital Markets, LLC (“RBCCM”, and, together with Royal Bank through such of its affiliates and branches as it deems appropriate, “RBC”, and, together with GS Bank and BofA, each, an “Initial Lender”, and collectively, the “Initial Lenders”), pursuant to which the Initial Lenders are committing to provide (i) a backstop senior secured revolving credit facility in an aggregate principal amount of up to $750 million (the “Backstop Revolving Facility”) and (ii) a senior secured 364-day bridge loan facility in an aggregate principal amount of up to $2.8 billion (the “Bridge Loan Facility,” and together with the Backstop Revolving Facility, the “Facilities”) and (B) an engagement letter (the “Engagement Letter”) with Goldman, Sachs & Co. (acting through such of its affiliates or branches as it deems appropriate), BofA Securities and RBCCM (collectively, the “Investment Banks”), pursuant to which the Investment Banks agree, subject to the terms and conditions set forth in the Engagement Letter, to serve as lead arrangers and bookrunners in connection with an amendment to the Company’s existing credit facility, a Term Loan A facility, a Term Loan B facility and/or any other loan facilities, credit facilities, commercial bank financings or other bank or institutional facilities, and as lead placement agents for, or lead underwriters or initial purchasers of, any senior secured or unsecured notes and any and all secured or unsecured debt, equity or equity-linked securities of the Company or any of its subsidiaries, in each case, incurred or issued to finance the proposed Mergers or refinance any amounts borrowed under the Bridge Loan Facility.

Significant accounting polici_2

Significant accounting policies (Policies)	9 Months Ended
	Sep. 30, 2022
Significant accounting policies
Basis of preparation	(a) Basis of preparation These unaudited condensed consolidated interim financial statements have been prepared in accordance with United States generally accepted accounting principles (“US GAAP”). They include the accounts of Ritchie Bros. Auctioneers Incorporated and its subsidiaries from their respective dates of formation or acquisition. All significant intercompany balances and transactions have been eliminated. Certain information and footnote disclosure required by US GAAP for complete annual financial statements have been omitted and, therefore, these unaudited condensed consolidated interim financial statements should be read in conjunction with the Company’s audited consolidated financial statements for the year ended December 31, 2021, included in the Company’s Annual Report on Form 10-K, filed with the Securities and Exchange Commission (“SEC”). These unaudited condensed consolidated interim financial statements follow the same accounting policies and methods of application as our most recent annual audited consolidated financial statements except as described in Note 2(b) “New and amended accounting standards and accounting policies”. In the opinion of management, these unaudited condensed consolidated interim financial statements reflect all adjustments, consisting of normal recurring adjustments, which are necessary to present fairly, in all material respects, the Company’s consolidated financial position, results of operations, cash flows and changes in equity for the interim periods presented. The preparation of financial statements in conformity with US GAAP requires management to make estimates and assumptions that affect the amounts reported in the financial statements and accompanying notes. Actual results could differ from those estimates. ​ Unless otherwise indicated, all amounts in the following tables are in thousands except share and per share amounts. ​ On February 24, 2022, the geopolitical situation in Eastern Europe intensified with Russia’s invasion of Ukraine, sharply ​ Reclassification Certain amounts in the prior period financial statements have been reclassified from selling, general and administrative expenses to costs of services for certain employee costs related to equipment inspections to conform to the presentation of the current period financial statements.
New and amended accounting standards and accounting policies	(b) New and amended accounting standards and accounting policies ​ New accounting policies ​ Sale and leaseback ​ The transfer of the asset shall not be accounted for as a sale if the leaseback would be classified as a finance lease or a sales-type lease. For sale and leaseback transactions, the Company applies the requirements of ASC 606 Revenue from Contracts with Customers Leases New and amended accounting standards In October 2021, the FASB issued ASU 2021-08, Business Combinations (Topic 805): Accounting for Contract Assets and Contract Liabilities from Contracts with Customers . The update primarily addresses the accounting for contract assets and contract liabilities from revenue contracts with customers acquired in a business combination. The update requires that an acquirer recognize and measure contract assets and contract liabilities acquired in a business combination in accordance with ASC 606 - Revenue from Contracts with Customers , whereas prior to the adoption of the update, contract assets acquired and contract liabilities assumed in a business combination were recognized at fair value on the acquisition date. The amendments in this update are effective for fiscal years beginning after December 15, 2022, including interim periods within those fiscal years. Early adoption of the amendments is permitted, including adoption in an interim period. An entity that early adopts in an interim period should apply the amendments (1) retrospectively to all business combinations for which the acquisition date occurs on or after the beginning of the fiscal year that includes the interim period of early application and (2) prospectively to all business combinations that occur on or after the date of initial application. The Company has early adopted the update as of October 1, 2021 and therefore has applied the amendments to all acquisitions completed since January 1, 2021, which includes only the acquisition of SmartEquip, which was completed on November 2, 2021.

Business Combinations (Tables)

Business Combinations (Tables) - SmartEquip [Member]	9 Months Ended
	Sep. 30, 2022
Business Acquisition [Line Items]
Schedule of purchase price allocation	​ ​ ​ ​ ​ Purchase price ​ $ 173,806 ​ ​ Assets acquired: ​ Cash and cash equivalents ​ ​ 2,039 Trade and other receivables ​ 2,926 Other current assets ​ ​ 486 Property, plant and equipment ​ 120 Other non-current assets ​ 75 Deferred tax assets ​ 5,098 Intangible assets ​ 71,700 ​ ​ Liabilities assumed: ​ Trade and other liabilities ​ 1,239 Deferred revenue ​ ​ 3,565 Other non-current liabilities ​ ​ 119 Deferred tax liabilities ​ 18,178 ​ ​ ​ ​ Fair value of identifiable net assets acquired ​ 59,343 Goodwill acquired on acquisition ​ $ 114,463
Schedule of fair values of the identifiable intangible assets acquired and their related estimated useful lives	​ ​ ​ ​ ​ ​ ​ ​ ​ Fair value ​ Weighted average Asset ​ at acquisition ​ amortization period Customer relationships ​ $ 50,700 ​ 4 - 15 years Software and technology assets ​ ​ 18,900 ​ 7 years Trade names and trademarks ​ ​ 1,000 ​ 3 years Backlog ​ ​ 1,100 ​ 2 years Total ​ $ 71,700 ​ 11.3 years

Segmented information (Tables)

Segmented information (Tables)	9 Months Ended
	Sep. 30, 2022
Segmented information
Schedule of Revenue and Net income by Segment	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended September 30, 2022 ​ Nine months ended September 30, 2022 ​ A&M Other Consolidated A&M Other Consolidated Service revenue: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Commissions ​ $ 108,238 ​ $ — ​ $ 108,238 ​ $ 361,016 ​ $ — ​ $ 361,016 Fees ​ ​ 85,689 ​ ​ 52,769 ​ ​ 138,458 ​ ​ 268,906 ​ ​ 148,137 ​ ​ 417,043 Total service revenue ​ ​ 193,927 ​ ​ 52,769 ​ ​ 246,696 ​ ​ 629,922 ​ ​ 148,137 ​ ​ 778,059 Inventory sales revenue ​ 164,783 ​ — ​ 164,783 ​ 511,887 ​ — ​ 511,887 Total revenue ​ $ 358,710 ​ $ 52,769 ​ $ 411,479 ​ $ 1,141,809 ​ $ 148,137 ​ $ 1,289,946 Costs of services ​ 24,601 ​ 16,920 ​ 41,521 ​ 79,160 ​ 46,415 ​ 125,575 Cost of inventory sold ​ 147,253 ​ — ​ 147,253 ​ 455,006 ​ — ​ 455,006 Selling, general and administrative ​ 116,337 ​ 16,856 ​ 133,193 ​ 350,684 ​ 53,393 ​ 404,077 Segment profit ​ $ 70,519 ​ $ 18,993 ​ $ 89,512 ​ $ 256,959 ​ $ 48,329 ​ $ 305,288 Acquisition-related costs ​ ​ ​ 2,031 ​ ​ ​ 15,067 Depreciation and amortization ​ ​ ​ 24,290 ​ ​ ​ 72,813 Foreign exchange gain ​ ​ ​ (430) ​ ​ ​ (752) Total operating expenses ​ ​ ​ ​ ​ ​ ​ $ 347,858 ​ ​ ​ ​ ​ ​ ​ $ 1,071,786 Gain on disposition of property, plant and equipment ​ ​ ​ 333 ​ ​ ​ 170,499 Operating income ​ ​ ​ $ 63,954 ​ ​ ​ $ 388,659 Interest expense ​ ​ ​ (9,199) ​ ​ ​ (48,348) Change in fair value of derivatives ​ ​ ​ ​ ​ ​ ​ ​ — ​ ​ ​ ​ ​ ​ ​ ​ 1,263 Other income, net ​ ​ ​ 2,866 ​ ​ ​ 5,426 Income tax expense ​ ​ ​ (14,697) ​ ​ ​ (72,564) Net income ​ ​ ​ $ 42,924 ​ ​ ​ $ 274,436 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended September 30, 2021 ​ Nine months ended September 30, 2021 ​ A&M Other Consolidated A&M Other Consolidated Service revenue: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Commissions ​ $ 110,275 ​ $ — ​ $ 110,275 ​ $ 343,584 ​ $ — ​ $ 343,584 Fees ​ ​ 68,607 ​ ​ 35,311 ​ ​ 103,918 ​ ​ 220,037 ​ ​ 109,350 ​ ​ 329,387 Total service revenue ​ ​ 178,882 ​ ​ 35,311 ​ ​ 214,193 ​ ​ 563,621 ​ ​ 109,350 ​ ​ 672,971 Inventory sales revenue ​ 115,489 ​ — ​ 115,489 ​ 384,627 ​ — ​ 384,627 Total revenue ​ $ 294,371 ​ $ 35,311 ​ $ 329,682 ​ $ 948,248 ​ $ 109,350 ​ $ 1,057,598 Costs of services ​ 22,728 ​ 12,380 ​ 35,108 ​ 72,208 ​ 42,067 ​ 114,275 Cost of inventory sold ​ 102,993 ​ — ​ 102,993 ​ 344,763 ​ — ​ 344,763 Selling, general and administrative ​ 94,203 ​ 12,305 ​ 106,508 ​ 296,199 ​ 34,108 ​ 330,307 Segment profit ​ $ 74,447 ​ $ 10,626 ​ $ 85,073 ​ $ 235,078 ​ $ 33,175 ​ $ 268,253 Acquisition-related costs ​ ​ ​ ​ 10,255 ​ ​ ​ 16,226 Depreciation and amortization ​ ​ ​ ​ 21,907 ​ ​ ​ 64,912 Foreign exchange loss ​ ​ ​ ​ ​ 360 ​ ​ ​ 788 Total operating expenses ​ ​ ​ ​ ​ ​ ​ $ 277,131 ​ ​ ​ ​ ​ ​ ​ $ 871,271 Gain on disposition of property, plant and equipment ​ ​ ​ ​ ​ 1,068 ​ ​ ​ 1,311 Operating income ​ ​ ​ ​ ​ $ 53,619 ​ ​ ​ $ 187,638 Interest expense ​ ​ ​ ​ (8,807) ​ ​ ​ (26,620) Other income, net ​ ​ ​ ​ 602 ​ ​ ​ 2,800 Income tax expense ​ ​ ​ (13,057) ​ ​ ​ (42,541) Net income ​ ​ ​ $ 32,357 ​ ​ ​ $ 121,277 6. Segmented information (continued)
Geographic Information of Revenue	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ United ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Total revenue for the three months ended: ​ States ​ Canada ​ Australia ​ Europe ​ Other ​ Consolidated September 30, 2022 ​ $ 258,117 ​ $ 74,866 ​ $ 37,225 ​ $ 27,149 ​ $ 14,122 ​ $ 411,479 September 30, 2021 ​ ​ 173,137 ​ 55,925 ​ ​ 46,488 ​ 40,620 ​ 13,512 ​ 329,682 Total revenue for the nine months ended: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, 2022 ​ $ 721,533 ​ $ 283,565 ​ $ 138,034 ​ $ 101,958 ​ $ 44,856 ​ $ 1,289,946 September 30, 2021 ​ ​ 563,942 ​ 203,093 ​ ​ 110,565 ​ 143,263 ​ 36,735 ​ 1,057,598

Revenue (Tables)

Revenue (Tables)	9 Months Ended
	Sep. 30, 2022
Revenue
Revenue from the Rendering of Services	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ September 30, ​ September 30, ​ 2022 ​ 2021 ​ 2022 ​ 2021 Service revenue: ​ ​ ​ ​ ​ Commissions ​ $ 108,238 ​ $ 110,275 ​ $ 361,016 ​ $ 343,584 Fees ​ 138,458 ​ 103,918 ​ 417,043 ​ 329,387 ​ ​ 246,696 ​ 214,193 ​ 778,059 ​ 672,971 Inventory sales revenue ​ 164,783 ​ 115,489 ​ 511,887 ​ 384,627 ​ ​ $ 411,479 ​ $ 329,682 ​ $ 1,289,946 ​ $ 1,057,598

Operating expenses (Tables)

Operating expenses (Tables)	9 Months Ended
	Sep. 30, 2022
Operating expenses
Schedule of Direct Operating Expenses	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, ​ September 30, ​ 2022 2021 2022 2021 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Employee compensation expenses ​ $ 16,912 ​ $ 14,253 ​ $ 49,878 ​ $ 43,736 Ancillary and logistical service expenses ​ ​ 14,418 ​ 11,433 ​ ​ 38,619 ​ 38,521 Travel, advertising and promotion expenses ​ ​ 4,351 ​ 3,205 ​ ​ 16,722 ​ 13,022 Other costs of services ​ ​ 3,280 ​ 3,721 ​ ​ 10,917 ​ 11,495 Buildings, facilities and technology expenses ​ ​ 2,560 ​ 2,496 ​ ​ 9,439 ​ 7,501 ​ ​ $ 41,521 ​ $ 35,108 ​ $ 125,575 ​ $ 114,275
Schedule of Selling, General and Administrative Expenses	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, September 30, ​ 2022 2021 2022 2021 Wages, salaries and benefits ​ $ 80,532 ​ $ 64,810 ​ $ 242,319 ​ $ 209,699 Share-based compensation expense ​ ​ 8,806 ​ ​ 5,627 ​ ​ 27,833 ​ ​ 16,945 Buildings, facilities and technology expenses ​ 22,176 ​ 18,213 ​ 65,588 ​ 53,035 Travel, advertising and promotion expenses ​ 9,528 ​ 6,541 ​ 26,894 ​ 18,527 Professional fees ​ 6,946 ​ 6,323 ​ 24,309 ​ 16,557 Other selling, general and administrative ​ 5,205 ​ 4,994 ​ 17,134 ​ 15,544 ​ ​ $ 133,193 $ 106,508 ​ $ 404,077 ​ $ 330,307
Schedule Of Acquisition Related Expenses	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, ​ September 30, ​ 2022 2021 2022 2021 SmartEquip: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share-based continuing employment costs ​ $ 674 ​ $ — ​ $ 1,999 ​ $ — Other acquisition-related costs ​ ​ 90 ​ ​ 1,101 ​ ​ 607 ​ ​ 1,101 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Euro Auctions: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Other acquisition-related costs ​ ​ 25 ​ ​ 6,133 ​ ​ 8,037 ​ ​ 6,133 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Rouse: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share-based continuing employment costs ​ ​ 1,189 ​ ​ 2,707 ​ ​ 4,077 ​ ​ 7,938 Other acquisition-related costs ​ ​ 53 ​ ​ 314 ​ ​ 347 ​ ​ 1,054 ​ ​ $ 2,031 ​ $ 10,255 ​ $ 15,067 $ 16,226
Schedule of Depreciation and Amortization Expenses	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, September 30, ​ 2022 2021 2022 2021 Depreciation ​ $ 7,825 ​ $ 8,127 ​ $ 23,461 ​ $ 24,309 Amortization ​ 16,465 ​ 13,780 ​ 49,352 ​ 40,603 ​ ​ $ 24,290 ​ $ 21,907 ​ $ 72,813 ​ $ 64,912

Earnings per share attributab_2

Earnings per share attributable to stockholders (Tables)	9 Months Ended
	Sep. 30, 2022
Earnings per share attributable to stockholders
Computation of Basic and Diluted Earnings Per Share	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, 2022 ​ September 30, 2022 ​ ​ Net income ​ WA ​ Per ​ Net income ​ WA ​ Per ​ attributable to number share ​ attributable to number share ​ stockholders of shares amount ​ stockholders of shares amount Basic ​ $ 42,909 110,838,237 ​ $ 0.39 ​ $ 274,368 110,750,021 ​ $ 2.48 Effect of dilutive securities: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share units ​ — 641,284 ​ — ​ — 496,273 ​ (0.01) Stock options ​ — 730,014 ​ (0.01) ​ — 611,801 ​ (0.02) Diluted ​ $ 42,909 112,209,535 ​ $ 0.38 ​ $ 274,368 111,858,095 ​ $ 2.45 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, 2021 ​ September 30, 2021 ​ ​ Net income ​ WA ​ Per ​ Net income ​ WA ​ Per ​ attributable to number share ​ attributable to number share ​ stockholders of shares amount stockholders of shares amount Basic ​ $ 32,336 ​ 110,410,172 ​ $ 0.29 ​ $ 121,273 110,233,851 ​ $ 1.10 Effect of dilutive securities: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share units ​ ​ — ​ 324,218 ​ ​ — ​ — 408,574 ​ — Stock options ​ ​ — ​ 657,006 ​ ​ — ​ — 690,822 ​ (0.01) Diluted ​ $ 32,336 ​ 111,391,396 ​ $ 0.29 ​ $ 121,273 111,333,247 ​ $ 1.09

Supplemental cash flow inform_2

Supplemental cash flow information (Tables)	9 Months Ended
	Sep. 30, 2022
Supplemental cash flow information
Schedule of Net Changes in Operating Assets and Liabilities	​ ​ ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, ​ 2022 ​ 2021 ​ Trade and other receivables $ (175,690) $ (120,160) ​ Inventory ​ ​ (7,057) ​ ​ 16,926 ​ Advances against auction contracts ​ ​ (2,554) ​ ​ 3,132 ​ Prepaid expenses and deposits ​ ​ 19,268 ​ ​ 1,671 ​ Income taxes receivable ​ ​ 12,456 ​ ​ (4,923) ​ Auction proceeds payable ​ ​ 163,265 ​ ​ 217,423 ​ Trade and other liabilities ​ ​ (9,160) ​ ​ (13,684) ​ Income taxes payable ​ ​ 32,511 ​ ​ (12,278) ​ Operating lease obligation ​ ​ (9,757) ​ ​ (9,000) ​ Other ​ ​ 6,545 ​ ​ 831 ​ Net changes in operating assets and liabilities $ 29,827 $ 79,938 ​
Schedule of Supplemental Cash Flow	​ ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, ​ 2022 ​ 2021 Interest paid, net of interest capitalized $ 35,956 $ 31,054 Interest received ​ ​ 3,242 ​ ​ 1,010 Net income taxes paid ​ ​ 19,164 ​ ​ 56,016 ​ ​ ​ ​ ​ ​ ​ Non-cash purchase of property, plant and equipment under finance lease ​ 7,543 ​ 6,173 Non-cash right of use assets obtained in exchange for new lease obligations ​ 19,895 ​ 13,545
Schedule of Cash, Cash Equivalents and Restricted Cash	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, ​ December 31, ​ ​ ​ 2022 ​ 2021 ​ Cash and cash equivalents $ 438,771 ​ $ 326,113 ​ Restricted cash ​ ​ ​ ​ ​ ​ ​ Current ​ ​ 76,303 ​ ​ 102,875 ​ Non-current ​ ​ — ​ ​ 933,464 ​ Cash, cash equivalents, and restricted cash $ 515,074 ​ $ 1,362,452 ​

Fair value measurement (Tables)

Fair value measurement (Tables)	9 Months Ended
	Sep. 30, 2022
Fair value measurement
Fair Value Assets Recurring and Nonrecurring	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, 2022 ​ December 31, 2021 ​ ​ ​ ​ Carrying ​ ​ ​ ​ Carrying ​ ​ ​ ​ Category amount Fair value amount Fair value Fair values disclosed: ​ ​ ​ ​ Cash and cash equivalents Level 1 ​ $ 438,771 ​ $ 438,771 ​ $ 326,113 ​ $ 326,113 Restricted cash Level 1 ​ 76,303 ​ 76,303 ​ 1,036,339 ​ 1,036,339 Loans receivable ​ Level 2 ​ ​ 9,024 ​ ​ 8,853 ​ ​ 7,267 ​ ​ 7,267 Derivative financial assets ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Deal contingent forward contract ​ Level 3 ​ ​ — ​ ​ — ​ ​ 751 ​ ​ 751 Derivative financial liabilities ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Deal contingent forward contract ​ Level 3 ​ ​ — ​ ​ — ​ ​ 2,005 ​ ​ 2,005 Forward currency contracts ​ Level 2 ​ ​ 772 ​ ​ 772 ​ ​ — ​ ​ — Short-term debt Level 2 ​ 1,630 ​ 1,630 ​ 6,147 ​ 6,147 Long-term debt ​ ​ ​ ​ ​ ​ ​ ​ Senior unsecured notes (as defined in Note 17) ​ ​ ​ ​ ​ ​ ​ 2016 Notes ​ Level 1 ​ ​ 495,880 ​ ​ 490,000 ​ ​ 494,531 ​ ​ 508,125 2021 USD Notes ​ Level 2 ​ ​ — ​ ​ — ​ ​ 598,052 ​ ​ 625,125 2021 CAD Notes ​ Level 2 ​ ​ — ​ ​ — ​ ​ 332,337 ​ ​ 339,100 Term loan ​ Level 2 ​ ​ 84,513 ​ ​ 84,848 ​ ​ 92,821 ​ ​ 93,226 Long-term revolver loans Level 2 ​ 56,951 ​ 57,000 ​ 219,699 ​ 219,772

Trade and other receivables (Ta

Trade and other receivables (Tables)	9 Months Ended
	Sep. 30, 2022
Trade and other receivables
Schedule of activity in the allowance for expected credit losses	​ ​ ​ ​ ​ Balance at December 31, 2021 $ (4,396) Current period provision ​ (413) Write-offs charged against the allowance ​ 846 Balance at September 30, 2022 ​ $ (3,963)

Other current assets (Tables)

Other current assets (Tables)	9 Months Ended
	Sep. 30, 2022
Other current assets
Schedule of Other current assets	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, ​ December 31, ​ 2022 2021 Advances against auction contracts ​ $ 5,580 ​ $ 4,102 Assets held for sale ​ 323 ​ 17,538 Prepaid expenses and deposits ​ 21,609 ​ 41,955 Derivative financial asset ​ ​ — ​ ​ 751 ​ ​ $ 27,512 ​ $ 64,346
Summary of Assets held for sale	​ ​ ​ ​ ​ Balance at December 31, 2021 $ 17,538 Reclassified from (to) property, plant and equipment ​ (10,148) Disposal ​ (7,067) Balance at September 30, 2022 ​ $ 323

Other non-current assets (Table

Other non-current assets (Tables)	9 Months Ended
	Sep. 30, 2022
Other non-current assets
Schedule of Other non-current assets	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, ​ December 31, ​ 2022 2021 Right-of-use assets ​ $ 116,566 ​ $ 114,414 Tax receivable ​ ​ 9,438 ​ ​ 10,289 Loans receivable ​ ​ 6,082 ​ ​ — Deferred debt issue costs ​ 3,920 ​ 5,236 Other ​ 11,894 ​ 12,565 ​ ​ $ 147,900 ​ $ 142,504

Debt (Tables)

Debt (Tables)	9 Months Ended
	Sep. 30, 2022
Debt
Schedule of Debt	​ ​ ​ ​ ​ ​ ​ ​ ​ Carrying amount ​ ​ September 30, ​ December 31, ​ 2022 2021 Short-term debt ​ $ 1,630 ​ $ 6,147 ​ ​ ​ ​ ​ ​ ​ Long-term debt: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Revolving facilities and delayed-draw term loan facility: ​ ​ ​ Delayed-draw term loan denominated in Canadian dollars, secured, bearing interest at a weighted average rate of 4.56%, due in monthly installments of interest only, maturing in September 2026 ​ 84,848 ​ 93,283 Long-term revolver loan denominated in Canadian dollars, secured, bearing interest at a weighted average rate of 2.29%, due in monthly installments of interest only, maturing in September 2026 ​ - ​ 46,206 Long-term revolver loan denominated in Canadian dollars, secured, bearing interest at a weighted average rate of 2.29%, due in monthly installments of interest only, maturing in September 2026 ​ - ​ 56,492 Long-term revolver loan denominated in U.S. dollars, secured, bearing interest at a weighted average rate of 3.97%, due in monthly installments of interest only, maturing in September 2026 ​ 57,000 ​ 117,000 Less: unamortized debt issue costs ​ (384) ​ (463) ​ ​ ​ ​ ​ ​ ​ Senior unsecured notes: ​ ​ ​ ​ Bearing interest at 5.375% due in semi-annual installments, with the full amount of principal due in January 2025 (the "2016 Notes") ​ 500,000 ​ 500,000 Less: unamortized debt issue costs ​ (4,120) ​ (5,469) Bearing interest at 4.75% due in semi-annual installments, with the full amount of principal due in December 2031 (the "2021 USD Notes") ​ ​ - ​ ​ 600,000 Less: unamortized debt issue costs ​ ​ - ​ ​ (1,948) Bearing interest at 4.95% due in semi-annual installments, with the full amount of principal due in December 2029 (the "2021 CAD Notes") ​ ​ - ​ ​ 333,464 Less: unamortized debt issue costs ​ ​ - ​ ​ (1,127) Total long-term debt ​ 637,344 ​ 1,737,438 ​ ​ ​ ​ ​ ​ ​ Total debt ​ $ 638,974 ​ $ 1,743,585 ​ ​ ​ ​ ​ ​ ​ Long-term debt: ​ ​ Current portion ​ $ 4,296 ​ $ 3,498 Non-current portion ​ 633,048 ​ 1,733,940 Total long-term debt ​ $ 637,344 ​ $ 1,737,438

Other non-current liabilities (

Other non-current liabilities (Tables)	9 Months Ended
	Sep. 30, 2022
Other non-current liabilities
Schedule of other non-current liabilities	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ September 30, ​ December 31, ​ 2022 2021 Operating lease liability ​ $ 103,824 ​ $ 109,882 Tax payable ​ ​ 16,928 ​ ​ 18,859 Finance lease liability ​ 12,732 ​ 13,983 Other ​ 3,744 ​ 4,536 ​ ​ $ 137,228 ​ $ 147,260

Equity and dividends (Tables)

Equity and dividends (Tables)	9 Months Ended
	Sep. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Schedule of shares issuance activity	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Equity-classified awards ​ Liability-classified awards ​ ​ PSUs ​ PSUs with Market Conditions ​ RSUs ​ DSUs ​ ​ ​ ​ WA grant ​ ​ ​ WA grant ​ ​ ​ WA grant ​ ​ ​ ​ WA grant ​ ​ ​ ​ date fair ​ ​ ​ date fair ​ ​ ​ date fair ​ ​ ​ ​ date fair ​ Number value Number value Number value ​ Number value Outstanding at December 31, 2021 523,618 ​ $ 45.90 ​ 88,305 ​ $ 65.45 ​ 79,112 ​ $ 54.96 ​ 156,589 ​ $ 35.28 Granted 230,122 ​ 58.68 ​ 14,574 ​ 69.92 ​ 34,135 ​ 57.70 ​ 16,182 ​ 59.57 Vested and settled (93,241) ​ 36.42 ​ — ​ — ​ (27,850) ​ 44.02 ​ — ​ — Forfeited (3,503) ​ 50.97 ​ — ​ — ​ (6,070) ​ 59.67 ​ — ​ — Outstanding at September 30, 2022 656,996 ​ $ 51.70 ​ 102,879 ​ $ 66.08 ​ 79,327 ​ $ 59.62 ​ 172,771 ​ $ 37.55
Schedule of Quarterly Dividends Declared and Paid	The Company declared and paid the following dividends during the nine months ended September 30, 2022 and 2021: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Dividend ​ Total ​ ​ ​ Declaration date ​ per share ​ Record date ​ dividends ​ Payment date ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2022: ​ ​ Fourth quarter 2021 ​ January 21, 2022 ​ $ 0.2500 ​ February 11, 2022 ​ $ 27,659 ​ March 4, 2022 First quarter 2022 ​ May 6, 2022 ​ ​ 0.2500 ​ May 27, 2022 ​ ​ 27,693 ​ June 17, 2022 Second quarter 2022 ​ August 3, 2022 ​ ​ 0.2700 ​ August 24, 2022 ​ ​ 29,932 ​ September 14, 2022 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2021: ​ ​ ​ ​ ​ Fourth quarter 2020 ​ January 22, 2021 ​ $ 0.2200 ​ February 12, 2021 ​ $ 24,181 ​ March 5, 2021 First quarter 2021 ​ May 7, 2021 ​ ​ 0.2200 ​ May 26, 2021 ​ ​ 24,279 ​ June 16, 2021 Second quarter 2021 ​ August 4, 2021 ​ ​ 0.2500 ​ August 25, 2021 ​ ​ 27,607 ​ September 15, 2021
Shares issued for business combination [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Schedule of shares issuance activity	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Rouse ​ SmartEquip ​ Total ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Weighted average ​ Common ​ Fair value ​ Common ​ Fair value Common ​ fair value ​ shares ​ per common ​ shares ​ per common shares ​ per common ​ issued shares issued shares issued shares Outstanding, December 31, 2021 189,665 ​ $ 71.09 ​ 63,971 ​ $ 68.39 ​ 253,636 ​ $ 70.41 Granted — ​ ​ — ​ — ​ ​ — ​ — ​ ​ — Vested (32,452) ​ ​ 71.09 ​ — ​ ​ — ​ (32,452) ​ ​ 71.09 Forfeited — ​ ​ — ​ — ​ ​ — ​ — ​ ​ — Outstanding, September 30, 2022 157,213 ​ $ 71.09 ​ 63,971 ​ $ 68.39 ​ 221,184 ​ $ 70.31 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Outstanding, December 31, 2020 312,193 ​ $ 71.09 ​ — ​ $ — ​ 312,193 ​ $ 71.09 Granted — ​ ​ — ​ — ​ ​ — ​ — ​ ​ — Vested — ​ ​ — ​ — ​ ​ — ​ — ​ ​ — Forfeited (55,510) ​ ​ 71.09 ​ — ​ ​ — ​ (55,510) ​ ​ 71.09 Outstanding, September 30, 2021 256,683 ​ $ 71.09 ​ — ​ $ — ​ 256,683 ​ $ 71.09 ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​

Share-based payments (Tables)

Share-based payments (Tables)	9 Months Ended
	Sep. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Compensation Costs Related to Share-Based Payments	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended Nine months ended ​ ​ ​ September 30, ​ September 30, ​ ​ 2022 2021 2022 2021 ​ Selling, general and administrative: ​ ​ ​ ​ ​ Stock option compensation expense ​ $ 3,249 ​ $ 2,133 ​ $ 8,871 ​ $ 5,903 ​ Equity-classified share units ​ ​ 4,759 ​ ​ 2,283 ​ ​ 16,450 ​ ​ 9,840 ​ Liability-classified share units ​ ​ 108 ​ ​ 527 ​ ​ 427 ​ ​ (862) ​ Employee share purchase plan - employer contributions ​ 690 ​ 684 ​ 2,085 ​ 2,064 ​ ​ ​ ​ 8,806 ​ ​ 5,627 ​ ​ 27,833 ​ ​ 16,945 ​ Acquisition-related costs: ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Share-based continuing employment costs ​ 1,863 ​ 2,707 ​ 6,075 ​ 7,938 ​ ​ ​ 1,863 ​ 2,707 ​ 6,075 ​ 7,938 ​ ​ ​ $ 10,669 ​ $ 8,334 ​ $ 33,908 ​ $ 24,883 ​ ​
Summary of Stock Option Activity	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Stock options ​ Premium-priced stock options ​ ​ ​ ​ ​ ​ WA ​ ​ ​ ​ ​ ​ ​ ​ ​ WA ​ ​ ​ ​ Common ​ WA ​ remaining ​ Aggregate ​ Common ​ WA ​ remaining ​ Aggregate ​ shares under ​ exercise ​ contractual ​ intrinsic ​ shares under ​ exercise ​ contractual ​ intrinsic ​ option price life (in years) value option price life (in years) value Outstanding, December 31, 2021 2,208,057 ​ $ 42.55 ​ ​ 7.7 ​ $ 41,884 ​ 1,017,064 ​ $ 91.24 ​ ​ 5.7 ​ $ — Granted 697,536 ​ ​ 58.14 ​ — ​ — ​ 119,157 ​ ​ 91.37 ​ ​ — ​ ​ — Exercised (155,694) ​ ​ 37.02 ​ ​ — ​ ​ 4,359 ​ — ​ ​ — ​ ​ — ​ ​ — Forfeited (20,662) ​ ​ 47.96 ​ — ​ — ​ (17,789) ​ ​ 90.93 ​ — ​ — Outstanding, September 30, 2022 2,729,237 ​ $ 46.81 ​ ​ 7.6 ​ $ 43,405 ​ 1,118,432 ​ $ 91.26 ​ ​ 4.9 ​ $ — Exercisable, September 30, 2022 1,280,995 ​ $ 37.62 ​ ​ 6.3 ​ $ 31,859 ​ — ​ $ — ​ — ​ $ —
Summary of Share Unit Activity	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Equity-classified awards ​ Liability-classified awards ​ ​ PSUs ​ PSUs with Market Conditions ​ RSUs ​ DSUs ​ ​ ​ ​ WA grant ​ ​ ​ WA grant ​ ​ ​ WA grant ​ ​ ​ ​ WA grant ​ ​ ​ ​ date fair ​ ​ ​ date fair ​ ​ ​ date fair ​ ​ ​ ​ date fair ​ Number value Number value Number value ​ Number value Outstanding at December 31, 2021 523,618 ​ $ 45.90 ​ 88,305 ​ $ 65.45 ​ 79,112 ​ $ 54.96 ​ 156,589 ​ $ 35.28 Granted 230,122 ​ 58.68 ​ 14,574 ​ 69.92 ​ 34,135 ​ 57.70 ​ 16,182 ​ 59.57 Vested and settled (93,241) ​ 36.42 ​ — ​ — ​ (27,850) ​ 44.02 ​ — ​ — Forfeited (3,503) ​ 50.97 ​ — ​ — ​ (6,070) ​ 59.67 ​ — ​ — Outstanding at September 30, 2022 656,996 ​ $ 51.70 ​ 102,879 ​ $ 66.08 ​ 79,327 ​ $ 59.62 ​ 172,771 ​ $ 37.55
Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Summary of Significant Assumptions Used to Estimate the Fair Value of Stock Options	​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2022 2021 Risk free interest rate 2.2 % 0.5 % Expected dividend yield 1.74 % 1.66 % Expected lives of the stock options 4 years 4 years Expected volatility 31.8 % 32.3 %
Premium Priced Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Summary of Significant Assumptions Used to Estimate the Fair Value of Stock Options	​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2022 2021 ​ Risk free interest rate 3.0 % 1.00 % Expected dividend yield 1.63 % 1.66 % Expected lives of the stock options ​ 4 years 5 years Expected volatility 30.2 % 30.6 %
Performance Share Units With Market Conditions [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Summary of Significant Assumptions Used to Estimate the Fair Value of Stock Options	​ ​ ​ ​ ​ ​ ​ Nine months ended September 30, 2022 2021 ​ Risk free interest rate 2.7 % 0.5 % Expected dividend yield 1.63 % 1.63 % Expected lives of the PSUs ​ 2 years 3 years Expected volatility 33.4 % 31.0 % Average expected volatility of comparable companies ​ 34.4 % 38.6 %

Leases (Tables)

Leases (Tables)	9 Months Ended
	Sep. 30, 2022
Leases
Breakdown of Lease Expense	​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ ​ Three months ended ​ Nine months ended ​ ​ September 30, ​ September 30, ​ ​ 2022 ​ 2021 ​ 2022 2021 Operating lease cost ​ $ 6,135 ​ $ 4,592 ​ $ 17,075 $ 13,584 Finance lease cost ​ ​ ​ ​ ​ ​ ​ ​ ​ Amortization of leased assets ​ 2,457 ​ ​ 2,693 ​ 7,705 ​ 8,096 Interest on lease liabilities ​ 202 ​ ​ 196 ​ 562 ​ 622 Short-term lease cost ​ 2,818 ​ ​ 2,845 ​ 9,182 ​ 7,428 Sublease income ​ — ​ ​ (15) ​ — ​ (45) ​ ​ $ 11,612 ​ $ 10,311 ​ $ 34,524 $ 29,685

Business Combinations (Narrativ

Business Combinations (Narrative) (Details) $ in Thousands, £ in Millions					3 Months Ended			9 Months Ended
	May 04, 2022	Nov. 02, 2021 USD ($) shares	Aug. 09, 2021 USD ($)	Aug. 09, 2021 GBP (£)	Sep. 30, 2022 USD ($)	Mar. 31, 2022 USD ($)	Sep. 30, 2021 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)
Business Acquisition [Line Items]
Acquisition-related costs					$ 2,031		$ 10,255	$ 15,067	$ 16,226
SmartEquip [Member]
Business Acquisition [Line Items]
Total consideration		$ 173,806				$ 173,800
Increased in purchase price due to adjustment in net working capital adjustment						$ 100
Total purchase price		$ 173,700
Common stock consideration (in shares) | shares		63,971
Number of common shares expected to vest		0.33%
Vesting period		3 years
Cash consideration under the terms of the SPA, to be paid on closing | £				£ 775
Fair value measurement period of certain assets and liabilities, maximum		1 year
Deferred tax asset decreased, adjustment to goodwill					3,800
Deferred tax assets		$ 5,098			5,100			5,100
Deferred tax assets, net of valuation allowance		5,800
Acquisition-related costs					800
Acquisition-related costs related to share-based continuing employment costs					700
SmartEquip [Member] | Employment Costs [Member]
Business Acquisition [Line Items]
Common shares consideration		$ 4,400
Acquisition-related costs					674			1,999
SmartEquip [Member] | Other Related Costs [Member]
Business Acquisition [Line Items]
Acquisition-related costs					90		1,101	607	1,101
Rouse Services LLC [Member] | Employment Costs [Member]
Business Acquisition [Line Items]
Acquisition-related costs					1,189		2,707	4,077	7,938
Rouse Services LLC [Member] | Other Related Costs [Member]
Business Acquisition [Line Items]
Acquisition-related costs					53		314	347	1,054
Euro Auctions Limited [Member]
Business Acquisition [Line Items]
Cash consideration under the terms of the SPA, to be paid on closing			$ 1,020,000
Euro Auctions Limited [Member] | Other Related Costs [Member]
Business Acquisition [Line Items]
Acquisition-related costs					$ 25		$ 6,133	$ 8,037	$ 6,133
2021 USD Notes [Member]
Business Acquisition [Line Items]
Redemption price percentage	100%

Business Combinations (Schedule

Business Combinations (Schedule of Purchase Price Allocation) (Details) - USD ($) $ in Thousands		3 Months Ended
	Nov. 02, 2021	Mar. 31, 2022	Sep. 30, 2022	Dec. 31, 2021
Business Acquisition [Line Items]
Goodwill acquired on acquisition			$ 946,770	$ 947,715
SmartEquip [Member]
Business Acquisition [Line Items]
Purchase price	$ 173,806	$ 173,800
Cash and cash equivalents	2,039
Trade and other receivables	2,926
Other current assets	486
Property, plant and equipment	120
Other non-current assets	75
Deferred tax assets	5,098		$ 5,100
Intangible assets	71,700
Trade and other liabilities	1,239
Deferred revenue	3,565
Other non-current liabilities	119
Deferred tax liabilities	18,178
Fair value of identifiable net assets acquired	59,343
Goodwill acquired on acquisition	$ 114,463
Weighted average amortization period	11 years 3 months 18 days
SmartEquip [Member] | Customer Relationships [Member]
Business Acquisition [Line Items]
Intangible assets	$ 50,700
SmartEquip [Member] | Software and technology assets [Member]
Business Acquisition [Line Items]
Intangible assets	$ 18,900
Weighted average amortization period	7 years
SmartEquip [Member] | Trade Names and Trademarks [Member]
Business Acquisition [Line Items]
Intangible assets	$ 1,000
Weighted average amortization period	3 years
SmartEquip [Member] | Backlog [Member]
Business Acquisition [Line Items]
Intangible assets	$ 1,100
Weighted average amortization period	2 years
Minimum [Member] | SmartEquip [Member] | Customer Relationships [Member]
Business Acquisition [Line Items]
Weighted average amortization period	4 years
Maximum [Member] | SmartEquip [Member] | Customer Relationships [Member]
Business Acquisition [Line Items]
Weighted average amortization period	15 years

Segmented information (Narrativ

Segmented information (Narrative) (Details)	9 Months Ended
	Sep. 30, 2022 segment
Segmented information
Number of reportable segments	1

Segmented information (Schedule

Segmented information (Schedule of Revenue and Net income by Segment) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Segment Reporting [Line Items]
Revenue	$ 411,479	$ 329,682	$ 1,289,946	$ 1,057,598
Selling, general and administrative expenses ("SG&A")	133,193	106,508	404,077	330,307
Acquisition-related costs	2,031	10,255	15,067	16,226
Depreciation and amortization expenses ("D&A")	24,290	21,907	72,813	64,912
Foreign exchange loss (gain)	(430)	360	(752)	788
Total operating expenses	347,858	277,131	1,071,786	871,271
Gain on disposition of property, plant and equipment ("PPE")	(333)	(1,068)	(170,499)	(1,311)
Operating income	63,954	53,619	388,659	187,638
Interest expense	(9,199)	(8,807)	(48,348)	(26,620)
Change in fair value of derivatives, net			1,263
Debt extinguishment costs			(4,792)
Other income, net	2,866	602	5,426	2,800
Income tax expense	(14,697)	(13,057)	(72,564)	(42,541)
Net income	42,924	32,357	274,436	121,277
Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	411,479	329,682	1,289,946	1,057,598
Selling, general and administrative expenses ("SG&A")	133,193	106,508	404,077	330,307
Segment profit	89,512	85,073	305,288	268,253
Acquisition-related costs	2,031	10,255	15,067	16,226
Depreciation and amortization expenses ("D&A")	24,290	21,907	72,813	64,912
Foreign exchange loss (gain)	(430)	360	(752)	788
Total operating expenses	347,858	277,131	1,071,786	871,271
Gain on disposition of property, plant and equipment ("PPE")	333	1,068	170,499	1,311
Operating income	63,954	53,619	388,659	187,638
Interest expense	(9,199)	(8,807)	(48,348)	(26,620)
Change in fair value of derivatives, net			1,263
Other income, net	2,866	602	5,426	2,800
Income tax expense	(14,697)	(13,057)	(72,564)	(42,541)
Net income	42,924	32,357	274,436	121,277
Auctions and Marketplaces [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	358,710	294,371	1,141,809	948,248
Selling, general and administrative expenses ("SG&A")	116,337	94,203	350,684	296,199
Segment profit	70,519	74,447	256,959	235,078
Other Reporting Unit [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	52,769	35,311	148,137	109,350
Selling, general and administrative expenses ("SG&A")	16,856	12,305	53,393	34,108
Segment profit	18,993	10,626	48,329	33,175
Service Revenues [Member]
Segment Reporting [Line Items]
Revenue	246,696	214,193	778,059	672,971
Direct expenses	41,521	35,108	125,575	114,275
Service Revenues [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	246,696	214,193	778,059	672,971
Direct expenses	41,521	35,108	125,575	114,275
Service Revenues [Member] | Auctions and Marketplaces [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	193,927	178,882	629,922	563,621
Direct expenses	24,601	22,728	79,160	72,208
Service Revenues [Member] | Other Reporting Unit [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	52,769	35,311	148,137	109,350
Direct expenses	16,920	12,380	46,415	42,067
Commissions
Segment Reporting [Line Items]
Revenue	108,238	110,275	361,016	343,584
Commissions | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	108,238	110,275	361,016	343,584
Commissions | Auctions and Marketplaces [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	108,238	110,275	361,016	343,584
Fees
Segment Reporting [Line Items]
Revenue	138,458	103,918	417,043	329,387
Fees | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	138,458	103,918	417,043	329,387
Fees | Auctions and Marketplaces [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	85,689	68,607	268,906	220,037
Fees | Other Reporting Unit [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	52,769	35,311	148,137	109,350
Inventory Sales Revenue [Member]
Segment Reporting [Line Items]
Revenue	164,783	115,489	511,887	384,627
Direct expenses	147,253	102,993	455,006	344,763
Inventory Sales Revenue [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	164,783	115,489	511,887	384,627
Direct expenses	147,253	102,993	455,006	344,763
Inventory Sales Revenue [Member] | Auctions and Marketplaces [Member] | Operating Segments [Member]
Segment Reporting [Line Items]
Revenue	164,783	115,489	511,887	384,627
Direct expenses	$ 147,253	$ 102,993	$ 455,006	$ 344,763

Segmented information (Geograph

Segmented information (Geographic Information of Revenue and location of assets) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021	Dec. 31, 2021
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue	$ 411,479	$ 329,682	$ 1,289,946	$ 1,057,598
Property, plant and equipment	444,538		444,538		$ 449,087
United States [Member]
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue	258,117	173,137	721,533	563,942
Canada [Member]
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue	74,866	55,925	283,565	203,093
Australia [Member]
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue	37,225	46,488	138,034	110,565
Europe [Member]
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue	27,149	40,620	101,958	143,263
Other [Member]
Revenues from External Customers and Long-Lived Assets [Line Items]
Revenue	$ 14,122	$ 13,512	$ 44,856	$ 36,735

Revenue (Details)

Revenue (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Revenue	$ 411,479	$ 329,682	$ 1,289,946	$ 1,057,598
Service Revenues [Member]
Revenue	246,696	214,193	778,059	672,971
Commissions
Revenue	108,238	110,275	361,016	343,584
Fees
Revenue	138,458	103,918	417,043	329,387
Inventory Sales Revenue [Member]
Revenue	$ 164,783	$ 115,489	$ 511,887	$ 384,627

Operating expenses (Schedule of

Operating expenses (Schedule of Direct Operating Expenses) (Details) - Service Revenues [Member] - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Ancillary and logistical service expenses	$ 14,418	$ 11,433	$ 38,619	$ 38,521
Employee compensation expenses	16,912	14,253	49,878	43,736
Buildings, facilities and technology expenses	2,560	2,496	9,439	7,501
Travel, advertising and promotion expenses	4,351	3,205	16,722	13,022
Other costs of services	3,280	3,721	10,917	11,495
Total direct expenses	$ 41,521	$ 35,108	$ 125,575	$ 114,275

Operating expenses (Schedule _2

Operating expenses (Schedule of Selling, General and Administrative Expenses) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Operating expenses
Wages, salaries and benefits	$ 80,532	$ 64,810	$ 242,319	$ 209,699
Share-based compensation expense	8,806	5,627	27,833	16,945
Buildings, facilities and technology expenses	22,176	18,213	65,588	53,035
Travel, advertising and promotion expenses	9,528	6,541	26,894	18,527
Professional fees	6,946	6,323	24,309	16,557
Other SG&A expenses	5,205	4,994	17,134	15,544
Total selling, general and administrative expenses	$ 133,193	$ 106,508	$ 404,077	$ 330,307

Operating expenses (Schedule _3

Operating expenses (Schedule of Acquisition Related Costs) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Acquisition-related costs	$ 2,031	$ 10,255	$ 15,067	$ 16,226
SmartEquip [Member] | Employment Costs [Member]
Acquisition-related costs	674		1,999
SmartEquip [Member] | Other Related Costs [Member]
Acquisition-related costs	90	1,101	607	1,101
Euro Auctions Limited [Member] | Other Related Costs [Member]
Acquisition-related costs	25	6,133	8,037	6,133
Rouse Services LLC [Member] | Employment Costs [Member]
Acquisition-related costs	1,189	2,707	4,077	7,938
Rouse Services LLC [Member] | Other Related Costs [Member]
Acquisition-related costs	$ 53	$ 314	$ 347	$ 1,054

Operating expenses (Schedule _4

Operating expenses (Schedule of Depreciation and Amortization Expenses) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Operating expenses
Depreciation expense	$ 7,825	$ 8,127	$ 23,461	$ 24,309
Amortization expense	16,465	13,780	49,352	40,603
Total depreciation and amortization expenses	$ 24,290	$ 21,907	$ 72,813	$ 64,912

Income taxes (Details)

Income taxes (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Income taxes
Income tax expense	$ 14,697	$ 13,057	$ 72,564	$ 42,541
Effective income tax rate	26%	29%	21%	26%

Earnings per share attributab_3

Earnings per share attributable to stockholders (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Net income (loss) attributable to:
Basic	$ 42,909	$ 32,336	$ 274,368	$ 121,273
Diluted	$ 42,909	$ 32,336	$ 274,368	$ 121,273
Weighted average number of shares outstanding:
Basic	110,838,237	110,410,172	110,750,021	110,233,851
Effect of dilutive securities:		111,391,396
Diluted	112,209,535	111,391,396	111,858,095	111,333,247
Per Share Amount
Basic	$ 0.39	$ 0.29	$ 2.48	$ 1.10
Diluted	$ 0.38	$ 0.29	$ 2.45	$ 1.09
Share Units [Member]
Weighted average number of shares outstanding:
Effect of dilutive securities:	641,284	324,218	496,273	408,574
Per Share Amount
Effect of dilutive securities:			(0.01)
Stock Options [Member]
Weighted average number of shares outstanding:
Effect of dilutive securities:	730,014		611,801	690,822
Diluted		657,006
Per Share Amount
Effect of dilutive securities:	(0.01)		(0.02)	(0.01)

Supplemental cash flow inform_3

Supplemental cash flow information (Schedule of Net Changes In Operating Assets and Liabilities) (Details) - USD ($) $ in Thousands	9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Increase (Decrease) in Operating Capital [Abstract]
Trade and other receivables	$ (175,690)	$ (120,160)
Inventory	(7,057)	16,926
Advances against auction contracts	(2,554)	3,132
Prepaid expenses and deposits	19,268	1,671
Income taxes receivable	12,456	(4,923)
Auction proceeds payable	163,265	217,423
Trade and other payables	(9,160)	(13,684)
Income taxes payable	32,511	(12,278)
Operating lease obligation	(9,757)	(9,000)
Other	6,545	831
Net changes in operating assets and liabilities	$ 29,827	$ 79,938

Supplemental cash flow inform_4

Supplemental cash flow information (Schedule of Supplemental cash flow) (Details) - USD ($) $ in Thousands	9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Supplemental Cash Flow Information [Abstract]
Interest paid, net of interest capitalized	$ 35,956	$ 31,054
Interest received	3,242	1,010
Net income taxes paid	19,164	56,016
Non-cash purchase of property, plant and equipment under finance lease	7,543	6,173
Non-cash right of use assets obtained in exchange for new lease obligations	$ 19,895	$ 13,545

Supplemental cash flow inform_5

Supplemental cash flow information (Schedule of Cash, Cash Equivalents and Restricted Cash) (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Dec. 31, 2021	Sep. 30, 2021	Dec. 31, 2020
Supplemental cash flow information
Cash and cash equivalents	$ 438,771	$ 326,113
Restricted cash - Current	76,303	102,875
Restricted Cash - Non-current		933,464
Cash, cash equivalents, and restricted cash	$ 515,074	$ 1,362,452	$ 468,354	$ 306,895

Fair value measurement (Details

Fair value measurement (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Dec. 31, 2021
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Derivative financial asset		$ 751
Carrying Amount [Member] | Recurring [Member] | Level 1 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cash and cash equivalents	$ 438,771	326,113
Restricted Cash	76,303	1,036,339
Carrying Amount [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Loan receivables	9,024	7,267
Carrying Amount [Member] | Recurring [Member] | Level 2 [Member] | Forward Contracts [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Derivative financial liability	772
Deal contingent forward	772
Carrying Amount [Member] | Recurring [Member] | Level 3 [Member] | Deal Contingent Forward Contract [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Derivative financial asset		751
Derivative financial liability		2,005
Deal contingent forward		2,005
Fair Value [Member] | Recurring [Member] | Level 1 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Cash and cash equivalents	438,771	326,113
Restricted Cash	76,303	1,036,339
Fair Value [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Loan receivables	8,853	7,267
Fair Value [Member] | Recurring [Member] | Level 2 [Member] | Forward Contracts [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Derivative financial liability	772
Deal contingent forward	772
Fair Value [Member] | Recurring [Member] | Level 3 [Member] | Deal Contingent Forward Contract [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Derivative financial asset		751
Derivative financial liability		2,005
Deal contingent forward		2,005
Short-term Debt [Member] | Carrying Amount [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument	1,630	6,147
Short-term Debt [Member] | Fair Value [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument	1,630	6,147
Long-term Debt [Member] | 2016 Notes [Member] | Carrying Amount [Member] | Recurring [Member] | Level 1 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument	495,880	494,531
Long-term Debt [Member] | 2016 Notes [Member] | Fair Value [Member] | Recurring [Member] | Level 1 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument	490,000	508,125
Long-term Debt [Member] | 2021 USD Notes [Member] | Carrying Amount [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument		598,052
Long-term Debt [Member] | 2021 USD Notes [Member] | Fair Value [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument		625,125
Long-term Debt [Member] | 2021 CAD Notes [Member] | Carrying Amount [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument		332,337
Long-term Debt [Member] | 2021 CAD Notes [Member] | Fair Value [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument		339,100
Delayed Draw Term Loans [Member] | Long-term Debt [Member] | Carrying Amount [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument	84,513	92,821
Delayed Draw Term Loans [Member] | Long-term Debt [Member] | Fair Value [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument	84,848	93,226
Revolver Loan [Member] | Long-term Debt [Member] | Carrying Amount [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument	56,951	219,699
Revolver Loan [Member] | Long-term Debt [Member] | Fair Value [Member] | Recurring [Member] | Level 2 [Member]
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]
Debt instrument	$ 57,000	$ 219,772

Derivative financial instrume_2

Derivative financial instruments (Details) $ in Thousands, $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2022 USD ($)	Mar. 31, 2022 CAD ($) contract	Sep. 30, 2022 USD ($)
Derivative [Line Items]
Change in fair value of derivatives, net			$ 1,263
Forward Contracts [Member]
Derivative [Line Items]
Change in fair value of derivatives, net	$ (4,300)		$ (5,600)
Number of derivative instruments held | contract		2
Derivative exposure		$ 343
Purchase consideration, proposed auction acquisitions		775
Forward Contracts [Member] | US Dollar
Derivative [Line Items]
Notional amounts		216
Forward Contracts [Member] | Canada Dollars
Derivative [Line Items]
Notional amounts		$ 127

Trade and other receivables (De

Trade and other receivables (Details) $ in Thousands	9 Months Ended
	Sep. 30, 2022 USD ($)
Activity in the allowance for expected credit losses
Loans receivable	$ 6,082
Balance, December 31, 2021	(4,396)
Current period provision	(413)
Write-off charged against the allowance	846
Balance, March 31, 2022	$ (3,963)
Financing Receivable [Member] | Minimum [Member]
Activity in the allowance for expected credit losses
Term of financing lending arrangement	1 year
Financing Receivable [Member] | Maximum [Member]
Activity in the allowance for expected credit losses
Term of financing lending arrangement	4 years

Other current assets (Narrative

Other current assets (Narrative) (Details) $ in Thousands, $ in Millions			9 Months Ended
	Mar. 17, 2022 USD ($)	Mar. 17, 2022 CAD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Dec. 31, 2021 USD ($)
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Proceeds on disposition of assets			$ 165,190	$ 1,667
Initial lease term	2 years	2 years
Recognized gain on disposition of property, plant and equipment	$ 169,100
Lease term	2 years
Renewal term	1 year
Assets held for sale			$ 323		$ 17,538
Bolton, Ontario [Member]
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Lease term	2 years
Sale consideration	$ 165,000	$ 208.2
Net book value of property plant and equipment	$ 7,100
Arizona, United States [Member] | Disposal Group, Held-for-sale, Not Discontinued Operations [Member]
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Assets held for sale					$ 10,500

Other current assets (Schedule

Other current assets (Schedule of Other Current Assets) (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Dec. 31, 2021
Other current assets
Advances against auction contracts	$ 5,580	$ 4,102
Assets held for sale	323	17,538
Prepaid expenses and deposits	21,609	41,955
Derivative financial asset		751
Other Current Assets	$ 27,512	$ 64,346

Other current assets (Summary o

Other current assets (Summary of Assets Held For Sale) (Details) - USD ($) $ in Thousands	9 Months Ended
	Sep. 30, 2022	Mar. 17, 2022
Other current assets
Beginning balance	$ 17,538
Reclassified from (to) property, plant and equipment	(10,148)
Disposal	(7,067)
Ending balance	$ 323
Renewal term		1 year

Other non-current assets (Narra

Other non-current assets (Narrative) (Details) £ in Millions			9 Months Ended
	Sep. 28, 2022 USD ($)	Sep. 28, 2022 GBP (£)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Jun. 30, 2022 USD ($)	Mar. 31, 2022 USD ($)	Mar. 17, 2022 USD ($)	Dec. 31, 2021 USD ($)
Loans receivable			$ 9,000,000					$ 7,300,000
Right-of-use assets			116,566,000					114,414,000
Property purchased			26,279,000	$ 6,984,000
Maltby auction site
Right-of-use assets					$ 9,000,000
Property purchased	$ 13,500,000	£ 12.6
Bolton Properties Sale Leaseback Transaction [Member]
Right-of-use assets						$ 16,600,000	$ 16,600,000
Non-current Loans Receivable [Member]
Loans receivable			6,100,000					0
Trade and Other Receivables [Member]
Loans receivable			$ 2,900,000					$ 7,300,000
Financing Receivable [Member] | Minimum [Member]
Term of financing lending arrangement			1 year
Financing Receivable [Member] | Maximum [Member]
Term of financing lending arrangement			4 years

Other non-current assets (Detai

Other non-current assets (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Dec. 31, 2021
Other non-current assets
Right-of-use assets	$ 116,566	$ 114,414
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration]	Other non-current assets	Other non-current assets
Tax receivable	$ 9,438	$ 10,289
Loans receivable	6,082
Deferred debt issue costs	3,920	5,236
Other	11,894	12,565
Other non-current assets	$ 147,900	$ 142,504

Debt (Narrative) (Details)

Debt (Narrative) (Details) $ in Thousands, $ in Millions		1 Months Ended	3 Months Ended	9 Months Ended
	May 04, 2022 USD ($)	Sep. 30, 2021 USD ($)	Jun. 30, 2022 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Jun. 28, 2022 USD ($)	Dec. 31, 2021 USD ($)	Dec. 21, 2021 USD ($)	Aug. 31, 2021 USD ($)	Aug. 31, 2021 CAD ($)	Dec. 21, 2016 USD ($)
Debt [Line Items]
Repayment of debt				$ 1,094,926	$ 5,328
Gain (loss) on redemption of debt				(4,792)
Loss on redemption of 2021 Notes				$ 4,792
2021 Notes
Debt [Line Items]
Redemption price percentage	100%
Gain (loss) on redemption of debt	$ (4,800)
Loss on redemption of 2021 Notes	$ 4,800
Revolving Credit Facility [Member]
Debt [Line Items]
Weighted average interest rate				1.80%			1.80%
Fourth Amendment of the Credit Agreement [Member]
Debt [Line Items]
Maximum borrowing capacity		$ 1,000			1,000
Unamortized deferred debt issue costs				$ 4,300
5.375% Senior Unsecured Note, Due January 2025 [Member] | Senior Unsecured Notes [Member]
Debt [Line Items]
Principal amount											$ 500,000
Outstanding debt				500,000			$ 500,000
Unamortized deferred debt issue costs				$ 4,120			5,469
Interest rate				5.375%							5.375%
Maturity date				Jan. 15, 2025
4.75% Senior Unsecured Note, Due December 2031 (2021 USD Notes) | Senior Unsecured Notes [Member]
Debt [Line Items]
Weighted average interest rate				4.75%
Outstanding debt							600,000
Unamortized deferred debt issue costs							1,948
4.95% Senior Unsecured Note, Due December 2029 (2021 CAD Notes) | Senior Unsecured Notes [Member]
Debt [Line Items]
Weighted average interest rate				4.95%
Outstanding debt							333,464
Unamortized deferred debt issue costs							$ 1,127
2021 USD Notes [Member]
Debt [Line Items]
Redemption price percentage	100%
2021 USD Notes [Member] | 2021 Notes
Debt [Line Items]
Principal amount								$ 600,000
Interest rate								4.75%
2021 CAD Notes [Member] | 2021 Notes
Debt [Line Items]
Principal amount								$ 425,000
Interest rate								4.95%
Revolving Credit Facility [Member] | Revolving credit facilities, Maturing September 2026 [Member]
Debt [Line Items]
Maximum borrowing capacity				$ 681,200
Revolving Credit Facility [Member] | Revolving credit facilities, Maturing October 2023 [Member]
Debt [Line Items]
Available borrowing capacity				5,000
Revolving Credit Facility [Member] | Revolving credit facilities, No Maturity [Member]
Debt [Line Items]
Available borrowing capacity				$ 5,000
Delayed-draw Term Loan Facility [Member]
Debt [Line Items]
Deferred debt issuance costs wrote off			$ 700
Delayed-draw Term Loan Facility [Member] | Third Amendment of the Credit Agreement [Member]
Debt [Line Items]
Outstanding debt									$ 90,000	$ 118.9
Delayed-draw Term Loan Facility [Member] | Fourth Amendment of the Credit Agreement [Member]
Debt [Line Items]
Maximum borrowing capacity		295,000			295,000
Remaining borrowing capacity		$ 205,000			$ 205,000	$ 205,000
Amortize in equal quarterly installments (as a percent)		5%

Debt (Summary of Debt) (Details

Debt (Summary of Debt) (Details) - USD ($) $ in Thousands	9 Months Ended
	Sep. 30, 2022	Dec. 31, 2021	Dec. 21, 2016
Debt [Line Items]
Short-term debt	$ 1,630	$ 6,147
Total long-term debt	637,344	1,737,438
Total debt	638,974	1,743,585
Current portion	4,296	3,498
Non-current portion	633,048	1,733,940
Delayed Draw Term Loans [Member]
Debt [Line Items]
Less: unamortized debt issue costs	(384)	(463)
2.30% Term Loan, Due September 2026 [Member] | Delayed Draw Term Loans [Member]
Debt [Line Items]
Long-term Debt	$ 84,848	93,283
Weighted average interest rate	4.56%
Long-term revolver loan, 2.29% Maturing September 2026 [Member] | Revolver Loan [Member]
Debt [Line Items]
Long-term Debt		46,206
Weighted average interest rate	2.29%
Long-term revolver loan, 2.29% Maturing September 2026 [Member] | Revolver Loan [Member]
Debt [Line Items]
Long-term Debt		56,492
Weighted average interest rate	2.29%
Long-term revolver loan, 1.89% Maturing September 2026 [Member] | Revolver Loan [Member]
Debt [Line Items]
Long-term Debt	$ 57,000	117,000
Weighted average interest rate	3.97%
5.375% Senior Unsecured Note, Due January 2025 [Member] | Senior Unsecured Notes [Member]
Debt [Line Items]
Long-term Debt	$ 500,000	500,000
Less: unamortized debt issue costs	$ (4,120)	(5,469)
Interest rate	5.375%		5.375%
Maturity date	Jan. 15, 2025
4.75% Senior Unsecured Note, Due December 2031 (2021 USD Notes) | Senior Unsecured Notes [Member]
Debt [Line Items]
Long-term Debt		600,000
Less: unamortized debt issue costs		(1,948)
Weighted average interest rate	4.75%
4.95% Senior Unsecured Note, Due December 2029 (2021 CAD Notes) | Senior Unsecured Notes [Member]
Debt [Line Items]
Long-term Debt		333,464
Less: unamortized debt issue costs		$ (1,127)
Weighted average interest rate	4.95%

Other non-current liabilities_2

Other non-current liabilities (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Mar. 17, 2022	Dec. 31, 2021
Other non-current liabilities
Operating lease liability	$ 103,824	$ 4,500	$ 109,882
Tax payable	16,928		18,859
Finance lease liability	$ 12,732		$ 13,983
Finance Lease, Liability, Noncurrent, Statement of Financial Position [Extensible Enumeration]	Total other non-current liabilities		Total other non-current liabilities
Other	$ 3,744		$ 4,536
Total other non-current liabilities	$ 137,228		$ 147,260
Operating Lease, Liability, Noncurrent, Statement of Financial Position [Extensible List]	Total other non-current liabilities		Total other non-current liabilities

Equity and dividends (Narrative

Equity and dividends (Narrative) (Details) - USD ($) $ / shares in Units, $ in Thousands		1 Months Ended	2 Months Ended		3 Months Ended		9 Months Ended
	Sep. 13, 2021	Nov. 02, 2022	Dec. 14, 2022	Nov. 23, 2022	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Dividends Payable [Line Items]
Preferred shares issued					0		0
Shares forfeited								55,510
Acquisition of remaining interest in NCI								$ 5,556
Gain (Loss) from intra-entity foreign currency transactions					$ (10,200)	$ (3,300)	$ (19,600)	(5,900)
Shares issued for business combination [Member]
Dividends Payable [Line Items]
Share capital from additional paid-in capital					300		300
Unrecognized share based continuing employment costs					$ 4,700	$ 9,200	$ 4,700	$ 9,200
Unrecognized share based continuing employment costs, weighted average period for recognition							1 year 2 months 12 days
Xcira LLC [Member]
Dividends Payable [Line Items]
Percentage of membership interest acquired	25%
Acquisition of remaining interest in NCI	$ 5,600
Percentage of ownership interest	100%
Subsequent Event [Member]
Dividends Payable [Line Items]
Dividends declared (USD per share)			$ 0.27
Dividends payable date				Dec. 14, 2022
Dividends, date of record		Nov. 23, 2022
Rouse Services LLC [Member]
Dividends Payable [Line Items]
Shares forfeited								55,510

Equity and dividends (Schedule

Equity and dividends (Schedule of shares issuance activity) (Details) - $ / shares	9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Common shares issued
Outstanding beginning balance, Shares	253,636	312,193
Granted, Shares
Vested, Shares	(32,452)
Forfeited, Shares		(55,510)
Outstanding ending balance, Shares	221,184	256,683
Fair Value of common shares
Outstanding beginning balance, Weighted average grant date fair value (per share)	$ 70.41	$ 71.09
Granted, Weighted average grant date fair value (per share)
Vested, Weighted average grant date fair value (per share)	71.09
Forfeited, Weighted average grant date fair value (per share)		71.09
Outstanding ending balance, Weighted average grant date fair value (per share)	$ 70.31	$ 71.09
SmartEquip [Member]
Common shares issued
Outstanding beginning balance, Shares	63,971
Granted, Shares
Outstanding ending balance, Shares	63,971
Fair Value of common shares
Outstanding beginning balance, Weighted average grant date fair value (per share)	$ 68.39
Granted, Weighted average grant date fair value (per share)
Outstanding ending balance, Weighted average grant date fair value (per share)	$ 68.39
Rouse Services LLC [Member]
Common shares issued
Outstanding beginning balance, Shares	189,665	312,193
Granted, Shares
Vested, Shares	(32,452)
Forfeited, Shares		(55,510)
Outstanding ending balance, Shares	157,213	256,683
Fair Value of common shares
Outstanding beginning balance, Weighted average grant date fair value (per share)	$ 71.09	$ 71.09
Granted, Weighted average grant date fair value (per share)
Vested, Weighted average grant date fair value (per share)	71.09
Forfeited, Weighted average grant date fair value (per share)		71.09
Outstanding ending balance, Weighted average grant date fair value (per share)	$ 71.09	$ 71.09

Equity and dividends (Schedul_2

Equity and dividends (Schedule of Quarterly Dividends Declared and Paid) (Details) - USD ($) $ / shares in Units, $ in Thousands	9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Fourth quarter 2021
Dividends Payable [Line Items]
Dividend per share	$ 0.2500
Total dividends	$ 27,659
Fourth quarter 2020
Dividends Payable [Line Items]
Dividend per share		$ 0.2200
Total dividends		$ 24,181
First quarter 2022
Dividends Payable [Line Items]
Dividend per share	$ 0.2500
Total dividends	$ 27,693
First Quarter 2021
Dividends Payable [Line Items]
Dividend per share		$ 0.2200
Total dividends		$ 24,279
Second quarter 2022
Dividends Payable [Line Items]
Dividend per share	$ 0.2700
Total dividends	$ 29,932
Second quarter 2021
Dividends Payable [Line Items]
Dividend per share		$ 0.2500
Total dividends		$ 27,607

Share-based payments (Narrative

Share-based payments (Narrative) (Details) - USD ($)	1 Months Ended			3 Months Ended	9 Months Ended	12 Months Ended
	Sep. 30, 2022	Nov. 30, 2021	Aug. 31, 2021	Sep. 30, 2022	Sep. 30, 2022	Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Maximum employee contribution, percentage					4%
Granted, Shares
Minimum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Employer matching contribution, percentage					50%
Maximum [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Employer matching contribution, percentage					100%
Performance Share Unit Plans [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Market value of shares vested and released					$ 0	$ 0
Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock options granted (in shares)					697,536
Unrecognized compensation costs	$ 9,400,000			$ 9,400,000	$ 9,400,000
Unrecognized compensation costs, period for recognition					2 years 2 months 12 days
Premium Priced Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Weighted average grant date fair value of options granted				$ 8
Stock options granted (in shares)				0	119,157
Unrecognized compensation costs	6,400,000			$ 6,400,000	$ 6,400,000
Unrecognized compensation costs, period for recognition					2 years 1 month 6 days
Performance Share Units [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation costs	$ 17,800,000			$ 17,800,000	$ 17,800,000
Unrecognized compensation costs, period for recognition					1 year 10 months 24 days
Performance Share Units With Market Conditions [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock options granted (in shares)				0
Weighted average grant-date fair value of awards				$ 69.92
Performance period	2 years	3 years	3 years
Award holding period				1 year
Discount value				$ 5.34
Effective tax rate				35%
Unrecognized compensation costs	$ 4,500,000			$ 4,500,000	$ 4,500,000
Unrecognized compensation costs, period for recognition					1 year 10 months 24 days
Restricted Share Units [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation costs	2,100,000			2,100,000	$ 2,100,000
Unrecognized compensation costs, period for recognition					1 year 6 months
Deferred Share Units [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation costs	0			0	$ 0
Share unit liability	$ 11,300,000			$ 11,300,000	$ 11,300,000	$ 10,100,000

Share-based payments (Compensat

Share-based payments (Compensation Costs) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Total compensation costs related to share based payments	$ 10,669	$ 8,334	$ 33,908	$ 24,883
Selling, General and Administrative Expenses [Member]
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Stock option compensation expense	3,249	2,133	8,871	5,903
Equity-classified share units	4,759	2,283	16,450	9,840
Liability-classified share units	108	527	427	(862)
Employee share purchase plan - employer contributions	690	684	2,085	2,064
Total compensation costs related to share based payments	8,806	5,627	27,833	16,945
Acquisition-related Costs [Member]
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Share based continuing employment costs	1,863	2,707	6,075	7,938
Total compensation costs related to share based payments	$ 1,863	$ 2,707	$ 6,075	$ 7,938

Share-based payments (Summary o

Share-based payments (Summary of Stock Option Activity) (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended	9 Months Ended	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2022	Dec. 31, 2021
Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding beginning balance, Common shares under option		2,208,057
Granted, Common shares under option		697,536
Exercised, Common shares under option		(155,694)
Forfeited, Common shares under option		(20,662)
Outstanding ending balance, Common shares under option	2,729,237	2,729,237	2,208,057
Exercisable, Common shares under option	1,280,995	1,280,995
Outstanding beginning balance, Weighted average exercise price (per share)		$ 42.55
Granted, Weighted average exercise price (per share)		58.14
Exercised, Weighted average exercise price (per share)		37.02
Forfeited, Weighted average exercise price (per share)		47.96
Outstanding ending balance, Weighted average exercise price (per share)	$ 46.81	46.81	$ 42.55
Exercisable, Weighted average exercise price (per share)	$ 37.62	$ 37.62
Outstanding, Weighted average remaining contractual life (in years)		7 years 7 months 6 days	7 years 8 months 12 days
Exercisable, Weighted average remaining contractual life (in years)		6 years 3 months 18 days
Outstanding beginning balance, Aggregate intrinsic value		$ 41,884
Exercised, Aggregate intrinsic value		4,359
Outstanding ending balance, Aggregate intrinsic value	$ 43,405	43,405	$ 41,884
Exercisable, Aggregate intrinsic value	$ 31,859	$ 31,859
Premium Priced Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding beginning balance, Common shares under option		1,017,064
Granted, Common shares under option	0	119,157
Forfeited, Common shares under option		(17,789)
Outstanding ending balance, Common shares under option	1,118,432	1,118,432	1,017,064
Outstanding beginning balance, Weighted average exercise price (per share)		$ 91.24
Granted, Weighted average exercise price (per share)		91.37
Forfeited, Weighted average exercise price (per share)		90.93
Outstanding ending balance, Weighted average exercise price (per share)	$ 91.26	$ 91.26	$ 91.24
Outstanding, Weighted average remaining contractual life (in years)		4 years 10 months 24 days	5 years 8 months 12 days

Share-based payments (Summary_2

Share-based payments (Summary of Stock Option Pricing Assumptions) (Details)	9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Stock Options [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Risk free interest rate	2.20%	0.50%
Expected dividend yield	1.74%	1.66%
Expected lives of the stock options	4 years	4 years
Expected volatility	31.80%	32.30%
Premium Priced Stock Options [Member] | Stock Option Plan [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Risk free interest rate	3%	1%
Expected dividend yield	1.63%	1.66%
Expected lives of the stock options	4 years	5 years
Expected volatility	30.20%	30.60%
Performance Share Units With Market Conditions [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Risk free interest rate	2.70%	0.50%
Expected dividend yield	1.63%	1.63%
Expected lives of the stock options	2 years	3 years
Expected volatility	33.40%	31%
Average expected volatility of comparable companies	34.40%	38.60%

Share-based payments (Summary_3

Share-based payments (Summary of Share Unit Activity) (Details) - $ / shares	9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding beginning balance, Shares	253,636	312,193
Granted, Shares
Vested, Shares	(32,452)
Forfeited, Shares		(55,510)
Outstanding ending balance, Shares	221,184	256,683
Outstanding beginning balance, Weighted average grant date fair value (per share)	$ 70.41	$ 71.09
Granted, Weighted average grant date fair value (per share)
Forfeited, Weighted average grant date fair value (per share)		71.09
Outstanding ending balance, Weighted average grant date fair value (per share)	$ 70.31	$ 71.09
Performance Share Units [Member] | Equity Securities [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding beginning balance, Shares	523,618
Granted, Shares	230,122
Vested, Shares	(93,241)
Forfeited, Shares	(3,503)
Outstanding ending balance, Shares	656,996
Outstanding beginning balance, Weighted average grant date fair value (per share)	$ 45.90
Granted, Weighted average grant date fair value (per share)	58.68
Vested and settled, Weighted average grant date fair value (per share)	36.42
Forfeited, Weighted average grant date fair value (per share)	50.97
Outstanding ending balance, Weighted average grant date fair value (per share)	$ 51.70
Performance Share Units With Market Conditions [Member] | Equity Securities [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding beginning balance, Shares	88,305
Granted, Shares	14,574
Outstanding ending balance, Shares	102,879
Outstanding beginning balance, Weighted average grant date fair value (per share)	$ 65.45
Granted, Weighted average grant date fair value (per share)	69.92
Outstanding ending balance, Weighted average grant date fair value (per share)	$ 66.08
Restricted Share Units [Member] | Equity Securities [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding beginning balance, Shares	79,112
Granted, Shares	34,135
Vested, Shares	(27,850)
Forfeited, Shares	(6,070)
Outstanding ending balance, Shares	79,327
Outstanding beginning balance, Weighted average grant date fair value (per share)	$ 54.96
Granted, Weighted average grant date fair value (per share)	57.70
Vested and settled, Weighted average grant date fair value (per share)	44.02
Forfeited, Weighted average grant date fair value (per share)	59.67
Outstanding ending balance, Weighted average grant date fair value (per share)	$ 59.62
Deferred Share Units [Member] | Debt securities
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding beginning balance, Shares	156,589
Granted, Shares	16,182
Outstanding ending balance, Shares	172,771
Outstanding beginning balance, Weighted average grant date fair value (per share)	$ 35.28
Granted, Weighted average grant date fair value (per share)	59.57
Outstanding ending balance, Weighted average grant date fair value (per share)	$ 37.55

Leases (Narrative) (Details)

Leases (Narrative) (Details) $ in Thousands, £ in Millions				9 Months Ended
	Sep. 28, 2022 USD ($)	Sep. 28, 2022 GBP (£)	Mar. 17, 2022 USD ($)	Sep. 30, 2022 USD ($)	Sep. 30, 2021 USD ($)	Jun. 30, 2022 USD ($)	Mar. 31, 2022 USD ($)	Dec. 31, 2021 USD ($)
Lessee, Lease, Description [Line Items]
Operating lease fixed term			2 years
Initial lease term			2 years
Recognized gain on disposition of property, plant and equipment			$ 169,100
Renewal term			1 year
Right-of-use assets				$ 116,566				$ 114,414
Operating lease liability			$ 4,500	103,824				$ 109,882
Operating lease, additional leases term			2 years
Property purchased				$ 26,279	$ 6,984
Bolton Properties Sale Leaseback Transaction [Member]
Lessee, Lease, Description [Line Items]
Operating leases, remaining life				28 months
Right-of-use assets			$ 16,600				$ 16,600
Minimum [Member]
Lessee, Lease, Description [Line Items]
Operating leases, remaining life				1 month
Finance leases, remaining life				1 month
Maximum [Member]
Lessee, Lease, Description [Line Items]
Operating leases, remaining life				18 years
Finance leases, remaining life				6 years
Maltby auction site
Lessee, Lease, Description [Line Items]
Right-of-use assets						$ 9,000
Operating lease liability						$ 9,000
Property purchased	$ 13,500	£ 12.6

Leases (Breakdown of Lease Expe

Leases (Breakdown of Lease Expense) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2022	Sep. 30, 2021
Leases
Operating lease cost	$ 6,135	$ 4,592	$ 17,075	$ 13,584
Amortization of leased assets	2,457	2,693	7,705	8,096
Interest on lease liabilities	202	196	562	622
Short-term lease cost	2,818	2,845	9,182	7,428
Sublease income		(15)		(45)
Lease expense	$ 11,612	$ 10,311	$ 34,524	$ 29,685

Commitments (Details)

Commitments (Details) $ in Millions		9 Months Ended
	Jun. 01, 2021 USD ($) item	Sep. 30, 2022 USD ($) item
Commitments
Contract period for inventory purchase	2 years
Number of one year renewal options | item	3
Period for options to extend contract period	1 year
Purchase commitment quantity | item	600,000	328,685
Purchase commitment | $	$ 77
Purchase commitment amount purchased | $		$ 71.6

Contingencies (Details)

Contingencies (Details) - USD ($) $ in Millions	9 Months Ended	12 Months Ended
	Sep. 30, 2022	Dec. 31, 2021
Contingencies
Assets guaranteed under contract	$ 41.2	$ 43.5
Percentage of assets expected to be sold	80%	61%

Subsequent events (Details)

Subsequent events (Details) - Subsequent Event [Member] - Forecast [Member] $ / shares in Units, $ in Millions	Nov. 07, 2022 USD ($) $ / shares
Backstop Revolving Facility | Maximum [Member]
Business combinations
Principal amount	$ 750
Bridge Loan Facility | Maximum [Member]
Business combinations
Principal amount	2,800
IAA
Business combinations
Total consideration	7,300
Assumption of debt	$ 1,000
Right to receive, ratio of common shares of the Company	0.5804
Right to receive in cash (per share), without interest | $ / shares	$ 10
Ownership percentage of the common shares of the combined entities	59%
IAA stockholders | IAA
Business combinations
Ownership percentage of the common shares of the combined entities	41%