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Share-based Payments (Tables)
 12 Months Ended
Dec. 31, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Compensation costs related to share-based payments
Share-based payments consist of the following compensation costs:
Year ended December 31,202320222021
Selling, general and administrative:
Stock option compensation expense$7.7 $12.2 $8.4 
Equity-classified share units32.0 22.0 12.6 
Liability-classified share units2.5 — (0.6)
Employee share purchase plan4.7 2.8 2.7 
46.9 37.0 23.1 
Acquisition-related and integration costs:
Acceleration of share-based payments expense6.8 — — 
Share-based continuing employment costs3.8 7.5 10.8 
10.6 7.5 10.8 
$57.5 $44.5 $33.9 
Summary of stock option activity
Stock option activity is presented below:
Stock optionsPremium-priced stock options
Common
shares under
option		WA
exercise
price		WA
remaining
contractual
life (in years)		Aggregate
intrinsic
value		Common
shares under
option		WA
exercise
price		WA
remaining
contractual
life (in years)		Aggregate
intrinsic
value
Outstanding, December 31, 20201,985,754$34.95 7.7$68.7 —$— — $— 
Granted758,25656.29 — — 1,017,06491.24 — — 
Exercised(495,021)32.83 — 14.1 —— — — 
Forfeited(40,932)45.86 — — —— — — 
Outstanding, December 31, 20212,208,057$42.55 7.7$41.9 1,017,064$91.24 5.7$— 
Granted710,84758.08 — — 119,15791.37 — — 
Exercised(159,920)36.72 — 4.5 —— — — 
Forfeited(28,689)48.09 — — (17,789)90.93 — — 
Outstanding, December 31, 20222,730,295$46.88 7.3$31.2 1,118,432$91.26 4.7$— 
Granted262,72558.09 — — —— — — 
Assumed in acquisition (note 4)187,72750.96 — — —— — — 
Exercised(721,503)47.67 — 10.3 —— — — 
Forfeited(140,162)53.84 — — (225,765)91.26 — — 
Outstanding, December 31, 20232,319,082$47.82 6.3$44.5 892,667$91.26 3.6$— 
Exercisable, December 31, 20231,462,603$42.15 5.1$36.3 86,206$91.37 2.8$— 
ESPP valuation assumptions
The significant assumptions used to estimate the fair value of ESPP awards granted in 2023 are presented in the following table on a weighted average basis:
December 31, 2023
Risk free interest rate5.3 %
Expected dividend yield1.81 %
Expected lives of the ESPP8 months
Expected volatility28.1 %
Schedule of shares issuance activity
Share unit activity is presented below:
Equity-classified awardsLiability-classified awards
PSUsPSUs with Market ConditionsRSUsDSUs
NumberWA grant
date fair
value		NumberWA grant
date fair
value		NumberWA grant
 date fair
value		NumberWA grant
date fair
value
Outstanding, December 31, 2020542,676$38.09 —$— 134,937$39.14 137,514$32.06 
Granted160,71357.67 88,30565.45 46,67560.98 19,07558.48 
Vested and settled(161,248)31.14 —— (93,426)35.04 —— 
Forfeited(18,523)47.58 —— (9,074)55.81 —— 
Outstanding, December 31, 2021523,618$45.90 88,305$65.45 79,112$54.96 156,589$35.28 
Granted236,85558.53 14,57469.92 34,49557.71 21,82458.24 
Vested and settled(93,241)36.42 —— (37,714)50.29 (70,048)36.13 
Forfeited(4,598)51.76 —— (7,869)60.30 —— 
Outstanding at December 31, 2022662,634$51.71 102,879$66.08 68,024$58.32 108,365$39.35 
Granted94,72958.04 80,39885.33 425,30953.35 24,57355.49 
Assumed in IAA acquisition—— —— 366,37952.79 —— 
Vested and settled(283,086)42.23 —— (309,102)53.22 (32,378)54.68 
Forfeited(58,848)60.62 (9,017)68.59 (10,939)55.06 —— 
Outstanding at December 31, 2023415,429$58.35 174,260$74.83 539,671$53.64 100,560$38.36 
Stock options  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock options valuation assumptions
The significant assumptions used to estimate the fair value of stock options granted are presented in the following table on a weighted average basis:
December 31, 2023December 31, 2022December 31, 2021
Risk free interest rate4.2 %2.2 %0.5 %
Expected dividend yield1.84 %1.74 %1.64 %
Expected lives of the stock options4 years4 years4 years
Expected volatility35.8 %31.8 %32.3 %
Premium-priced stock options  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock options valuation assumptions
The significant assumptions used to estimate the fair values were as follows:
December 31, 2022December 31, 2021
Risk free interest rate3.0 %1.1 %
Expected dividend yield1.63 %1.59 %
Expected lives of the stock options4 years5 years
Expected volatility30.2 %30.6 %
PSU  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock options valuation assumptions
The significant assumptions used to estimate the fair value are presented in the following table:
December 31, 2023December 31, 2022
Risk free interest rate4.5 %2.7 %
Expected dividend yield— %1.63 %
Expected lives of the PSUs2 years2 years
Expected volatility32.7 %33.4 %
Average expected volatility of comparable companies48.6 %34.4 %
IAA | Stock options  
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]  
Stock options valuation assumptions The significant assumptions used to estimate the fair value of these assumed stock options are presented in the following table on a weighted average basis:
December 31, 2023
Risk free interest rate3.9 %
Expected dividend yield2.05 %
Expected lives of the stock options2 years
Expected volatility33.3 %