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Supplementary Financial Data (Unaudited) - Selected Unaudited Consolidated Financial Results (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands | 3 Months Ended | 12 Months Ended
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Sep. 30, 2019 | Jun. 30, 2019 | Mar. 31, 2019 | Dec. 31, 2018 | Sep. 30, 2018 | Jun. 30, 2018 | Mar. 31, 2018 | Dec. 31, 2017 | Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017
Quarterly Financial Information Disclosure [Abstract] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenues | $ 305,344 |  | $ 314,249 |  | $ 278,234 |  | $ 262,256 |  | $ 256,532 |  | $ 254,993 |  | $ 256,260 |  | $ 232,361 |  |  |  |
Cost of revenues | 87,996 | [1] | 87,215 | [1] | 85,568 | [1] | 76,066 | [1] | 79,962 | [1] | 79,011 | [1] | 79,493 | [1] | 74,432 | [1] | $ 336,845 | $ 312,898 | $ 287,607
Gross profit | 217,348 |  | 227,034 |  | 192,666 |  | 186,190 |  | 176,570 |  | 175,982 |  | 176,767 |  | 157,929 |  |  |  |
Net income | $ 54,584 |  | $ 64,152 |  | $ 33,381 |  | $ 40,007 |  | $ 32,713 |  | $ 29,721 |  | $ 31,169 |  | $ 32,879 |  | $ 192,124 | $ 126,482 | $ 133,414
Earnings per share: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Basic earnings per share (in dollars per share) | $ 1.89 | [2] | $ 2.21 | [2] | $ 1.15 | [2] | $ 1.38 | [2] | $ 1.13 | [2] | $ 1.00 | [2] | $ 1.04 | [2] | $ 1.09 | [2] | $ 6.63 | $ 4.26 | $ 4.32
Diluted earnings per share (in dollars per share) | $ 1.80 | [2] | $ 2.12 | [2] | $ 1.10 | [2] | $ 1.32 | [2] | $ 1.07 | [2] | $ 0.95 | [2] | $ 1.00 | [2] | $ 1.04 | [2] | $ 6.34 | $ 4.06 | $ 4.14
Shares used in computing earnings per share: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Basic weighted-average shares (in shares) | 28,918 |  | 28,967 |  | 29,074 |  | 28,961 |  | 29,077 |  | 29,708 |  | 29,985 |  | 30,078 |  | 28,980 | 29,711 | 30,862
Diluted (in shares) | 30,290 |  | 30,292 |  | 30,259 |  | 30,336 |  | 30,702 |  | 31,161 |  | 31,300 |  | 31,561 |  | 30,294 | 31,180 | 32,245
[1] | Cost of revenues excludes amortization expense of $0.5 million, $0.5 million, $0.5 million, $0.5 million, $0.5 million, $0.6 million, $0.6 million and $0.7 million for the quarters ended September 30, 2019, June 30, 2019, March 31, 2019, December 31, 2018, September 30, 2018, June 30, 2018, March 31, 2018 and December 31, 2017, respectively.
[2] | Earnings per share is computed independently for each of the quarters presented. Therefore, the sum of the quarterly per share amounts may not equal the totals for the respective years.

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