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SHARE-BASED COMPENSATION (Tables)
12 Months Ended
Dec. 31, 2020
Share-based Payment Arrangement [Abstract]  
Summary of weighted average assumptions used for options granted
The following weighted average assumptions were used for options granted:
 Years Ended December 31,
 202020192018
Expected life (in years)5.06.06.0
Expected volatility27.0 %26.6 %26.7 %
Risk-free interest rate0.4 %1.8 %2.7 %
Expected forfeiture rate— %— %— %
Summarizes restricted stock unit and performance share activity
The following table summarizes restricted stock unit and performance stock unit activity during fiscal year 2020 (shares in thousands):
 Number of SharesWeighted Average Grant Date Fair Value per Share
Unvested at January 1, 2019334 $221.25 
Granted256 241.19 
Vested(76)221.15 
Forfeited(14)229.75 
Unvested at December 31, 2019500 231.57 
Granted204 379.94 
Vested(110)232.59 
Forfeited(7)266.94 
Unvested at December 31, 2020587 $282.45 
Summary of stock option activity
Options granted, exercised, forfeited and expired are summarized as follows:
 Number of
Shares
Weighted
Average Exercise
Price
Weighted
Average
Remaining
Contractual Life
(Years)
Aggregate
Intrinsic Value
Outstanding at December 31, 20174,817 $107.91   
Granted432 208.21   
Exercised(1,126)66.53   
Forfeited(31)158.80   
Outstanding at December 31, 20184,092 129.51   
Granted162 251.58   
Exercised(999)96.92   
Forfeited(29)174.54   
Outstanding at December 31, 20193,226 145.27   
Granted128 403.99   
Exercised(1,174)105.97   
Forfeited(3)165.93   
Outstanding at December 31, 20202,177 $181.63 6$554,709 
Exercisable at December 31, 20201,424 $155.06 6$400,814 
Other information pertaining to option activity was as follows during the twelve months ended December 31:
 202020192018
Weighted average grant-date fair value of stock options granted$98.69 $74.54 $66.52 
Total intrinsic value of stock options exercised$292,394 $155,899 $176,716 
Summary of share-based compensation expense related to share-based awards
The following table summarizes share-based compensation expense related to share-based awards which is recorded in the consolidated statements of comprehensive income:
 Years Ended December 31,
 202020192018
Cost of subscriptions, software services and maintenance $18,125 $15,002 $13,588 
Selling, general and administrative expenses49,240 44,965 39,152 
Total share-based compensation expenses67,365 59,967 52,740 
Excess tax benefit(60,190)(29,819)(32,487)
Net decrease in net income$7,175 $30,148 $20,253