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Stock-Based Employee Benefit Plans - Summary of Option Activity (Details)
$ / shares in Units, shares in Thousands, $ in Thousands
12 Months Ended
Sep. 30, 2019
USD ($)
$ / shares
shares
Shares  
Outstanding at October 1, 2017 (in shares) | shares 996
Granted (in shares) | shares 81
Exercised (in shares) | shares (456)
Forfeited (in shares) | shares (5)
Outstanding at September 30, 2018 (in shares) | shares 616
Options exercisable at September 30, 2018 (in shares) | shares 533
Vested and expected to vest at September 30, 2018 (in shares) | shares 613
Weighted- average Exercise Price  
Outstanding at October 1, 2017 (in dollars per share) | $ / shares $ 63.13
Granted (in dollars per share) | $ / shares 196.43
Exercised (in dollars per share) | $ / shares 50.03
Forfeited (in dollars per share) | $ / shares 178.09
Outstanding at September 30, 2018 (in dollars per share) | $ / shares 89.36
Options exercisable at September 30, 2018 (in dollars per share) | $ / shares 73.89
Vested and expected to vest at September 30, 2018 (in dollars per share) | $ / shares $ 88.84
Weighted- average Remaining Contractual Term  
Outstanding at September 30, 2019 2 years 9 months 3 days
Exercisable at September 30, 2019 2 years 3 months
Vested and expected to vest at September 30, 2018 2 years 8 months 26 days
Aggregate Intrinsic Value  
Outstanding at September 30, 2019 | $ $ 131,921
Exercisable at September 30, 2019 | $ 122,381
Vested and expected to vest at September 30, 2017 | $ $ 131,509