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Stock Based Compensation (Tables)
 12 Months Ended
Dec. 31, 2022
Share-Based Payment Arrangement [Abstract]  
Schedule of Components of Equity-Based Compensation
The following table sets forth our stock-based compensation and expected tax benefit related to the plans in effect during the respective year:
Year Ended December 31,
202220212020
Stock-based compensation expense:
Restricted stock and restricted stock units (1)
$53.7 $18.7 $3.1 
Stock options9.9 3.0 23.0 
Incentive units2.4 11.6 19.0 
Total compensation expense$66.0 $33.3 $45.1 
Expected tax benefit:
Restricted stock and restricted stock units$0.5 $3.4 $0.5 
Stock options6.8 0.2 5.9 
Total compensation expense$7.3 $3.6 $6.4 
(1)Higher expense for restricted stock and restricted stock units in 2022 and 2021 compared to the respective prior year was primarily due to the additions of grants and the expense recognition associated with accelerated shares.
Schedule of Share-Based Payment Award, Stock Options, Valuation Assumptions
The following weighted average assumptions were used for options granted:

Year Ended December 31,
202220212020
Expected dividend yield (1)
1.29 %N/A— %
Expected stock price volatility (2)
33 %N/A28 %
Risk-free interest rate (3)
2.77 %N/A0.23 %
Expected life of options (in years) (4)
4.5N/A4.0
Weighted average grant date fair value$5.42N/A$4.99
(1)For the 2022 grants, the expected dividend yield was based on our quarterly dividend divided by the three-month average stock price as of the grant date, annualized and continuously compounded. The company did not pay dividends for the years ended December 31, 2021 and 2020.
(2)For 2022 grants, expected stock price volatility was calculated based 50% on D&B’s historical volatility and 50% on the leverage-adjusted volatility of our peer companies. For the 2020 grants, expected stock price volatility was derived from the historical volatility of companies in our peer group.
(3)Risk free interest rate was based on the term-matched, zero-coupon risk-free rate from the Treasury Constant Maturity yield curve, continuously compounded.
(4)For the 2022 grants, the expected term was based on the midpoint between the time of hurdle achievement and the expiration date. For the 2020 grants, the expected term was calculated using the simplified method
Schedule of Stock Options, Restricted Stock and Restricted Stock Units Activity
The following table summarize the stock options activity for the year ended December 31, 2022:

Stock options
Number of
options		Weighted-average
exercise price		Weighted average remaining contractual term (in years)Aggregate intrinsic value (in millions)
Balances, December 31, 20216,380,000 $22.005.5$—
Granted4,914,868 $15.89
Forfeited(200,000)$22.00
Exercised— $—
Balances, December 31, 202211,094,868 $19.296.8$—
Expected to vest as of December 31, 20225,588,205 $16.639.0$—
Exercisable as of December 31, 20225,506,663 $22.004.5$—
The following table summarize the restricted stock and restricted stock units activity for the year ended December 31, 2022:
Restricted stock and Restricted stock units
Number of
shares		Weighted-average
grant date
fair value		Weighted average remaining contractual term (in years)Aggregate intrinsic value
Balances, December 31, 20212,757,839 $21.611.2$56.5
Granted5,814,164 $16.18
Forfeited(572,278)$18.63
Vested(992,042)$21.95
Balances, December 31, 20227,007,683 $17.281.2$85.9
The following table summarizes the activities for common units and restricted shares for the year ended December 31, 2022.

Number of
common units/restricted shares		Weighted-average
grant date
fair value		Weighted average remaining contractual term (in years)Aggregate intrinsic value (in millions)
Outstanding, December 31, 20213,826,569 $2.950.24$78.4
Distribution(3,812,866)$2.95
Forfeited(13,703)$2.59
Outstanding, December 31, 2022— $0.00.00$0.0
Expected to vest, December 31, 2022— $0.00.00$0.0
Schedule of Restricted Stock and Restricted Stock Units and Restricted Stock and Common Stock Activity
The following table summarizes information relating to the vesting of restricted stock and restricted stock units:

Year ended December 31,
202220212020
Fair value of shares vested$15.8 $6.8 N/A
Tax benefit realized upon vesting$2.4 $0.9 N/A
The following table summarizes information relating to the vesting of common units/restricted shares:

Year Ended December 31,
202220212020
Fair value of shares vested$60.1 $96.7 $147.3 
Tax benefit realized upon vesting$— $— $—