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Stock Based Compensation (Tables)
6 Months Ended
Jun. 30, 2019
Share-based Payment Arrangement [Abstract]  
Stock Based Compensation Expense
The following table provides information regarding the Company’s stock-based compensation expense:
 
Three months ended June 30,
 
Six months ended June 30,
 
2019
 
2018
 
2019
 
2018
Stock-based compensation
$
29.0

 
$
28.0

 
$
54.3

 
$
54.0

Tax effect recognized in net earnings
6.1

 
5.9

 
11.4

 
11.3


Weighted Average Assumptions Used to Value Option Grants The following weighted average assumptions were used to estimate the fair value of options granted during current and prior year periods using the Black-Scholes option-pricing model:
 
Six months ended June 30,
 
2019
 
2018
Risk-free interest rate (%)
2.42
 
2.63
Expected option life (years)
5.41
 
5.32
Expected volatility (%)
19.23
 
18.02
Expected dividend yield (%)
0.58
 
0.59