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Summary of Significant Accounting Policies - Schedule of Impact of Topic 606 (Details) - USD ($) $ / shares in Units, $ in Thousands | 3 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 31, 2018 | Sep. 30, 2018 | Jun. 30, 2018 | Mar. 31, 2018 | Dec. 31, 2017 | Sep. 30, 2017 | Jun. 30, 2017 | Mar. 31, 2017 | Dec. 31, 2018 | Dec. 31, 2017 | Dec. 31, 2016
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenues, net |  | $ 643,422 | $ 619,586 | $ 584,985 | $ 585,500 | $ 609,991 | $ 577,877 | $ 541,237 | $ 520,433 | $ 2,433,492 | [1] | $ 2,249,538 |  | $ 1,831,546 |
Expenses: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Merchant commissions |  |  |  |  |  |  |  |  |  | 0 | [1] | 113,133 |  | 104,345 |
Processing |  |  |  |  |  |  |  |  |  | 487,695 | [1] | 429,613 |  | 355,414 |
Selling |  |  |  |  |  |  |  |  |  | 182,593 | [1] | 170,717 |  | 131,443 |
General and administrative |  |  |  |  |  |  |  |  |  | 389,172 | [1] | 387,694 |  | 283,625 |
Depreciation and amortization |  |  |  |  |  |  |  |  |  | 274,609 | [1] | 264,560 |  | 203,256 |
Other operating expense (income), net |  |  |  |  |  |  |  |  |  | 8,725 | [1] | 61 |  | (690) |
Operating income |  | 284,738 | 281,090 | 264,783 | 260,087 | 240,012 | 232,637 | 216,043 | 195,068 | 1,090,698 | [1] | 883,760 |  | 754,153 |
Total other (income) expense |  |  |  |  |  |  |  |  |  | (4,427) | [1] | (9,830) |  | 111,234 |
Income before income taxes |  |  |  |  |  |  |  |  |  | 1,095,125 | [1] | 893,590 |  | 642,919 |
Provision for income taxes |  |  |  |  |  |  |  |  |  | 283,642 | [1] | 153,390 |  | 190,534 |
Net income |  | $ 302,000 | $ 157,694 | $ 176,852 | $ 174,937 | $ 282,696 | $ 202,823 | $ 130,987 | $ 123,693 | $ 811,483 | [1],[2] | $ 740,200 | [2] | $ 452,385 | [2]
Basic earnings per share (in usd per share) |  | $ 3.45 | $ 1.78 | $ 1.98 | $ 1.95 | $ 3.15 | $ 2.23 | $ 1.42 | $ 1.34 | $ 9.14 | [1] | $ 8.12 |  | $ 4.89 |
Diluted earnings per share (in usd per share) |  | $ 3.33 | $ 1.71 | $ 1.91 | $ 1.88 | $ 3.05 | $ 2.18 | $ 1.39 | $ 1.31 | $ 8.81 | [1] | $ 7.91 |  | $ 4.75 |
Calculated under Revenue Guidance in Effect before Topic 606 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenues, net | [1] |  |  |  |  |  |  |  |  | $ 2,545,449 |  |  |  |  |
Expenses: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Merchant commissions | [1] |  |  |  |  |  |  |  |  | 126,849 |  |  |  |  |
Processing | [1] |  |  |  |  |  |  |  |  | 474,732 |  |  |  |  |
Selling | [1] |  |  |  |  |  |  |  |  | 187,912 |  |  |  |  |
General and administrative | [1] |  |  |  |  |  |  |  |  | 389,172 |  |  |  |  |
Depreciation and amortization | [1] |  |  |  |  |  |  |  |  | 274,609 |  |  |  |  |
Other operating expense (income), net | [1] |  |  |  |  |  |  |  |  | 8,725 |  |  |  |  |
Operating income | [1] |  |  |  |  |  |  |  |  | 1,083,450 |  |  |  |  |
Total other (income) expense | [1] |  |  |  |  |  |  |  |  | (4,427) |  |  |  |  |
Income before income taxes | [1] |  |  |  |  |  |  |  |  | 1,087,877 |  |  |  |  |
Provision for income taxes | [1] |  |  |  |  |  |  |  |  | 281,599 |  |  |  |  |
Net income | [1] |  |  |  |  |  |  |  |  | $ 806,278 |  |  |  |  |
Basic earnings per share (in usd per share) | [1] |  |  |  |  |  |  |  |  | $ 9.08 |  |  |  |  |
Diluted earnings per share (in usd per share) | [1] |  |  |  |  |  |  |  |  | $ 8.75 |  |  |  |  |
Accounting Standards Update 2014-09 | Impact of ASC 606 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
New Accounting Pronouncements or Change in Accounting Principle [Line Items] |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Revenues, net | [1] |  |  |  |  |  |  |  |  | $ 111,957 |  |  |  |  |
Expenses: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Merchant commissions | [1] |  |  |  |  |  |  |  |  | 126,849 |  |  |  |  |
Processing | [1] |  |  |  |  |  |  |  |  | (12,963) |  |  |  |  |
Selling | [1] |  |  |  |  |  |  |  |  | 5,319 |  |  |  |  |
General and administrative | [1] |  |  |  |  |  |  |  |  | 0 |  |  |  |  |
Depreciation and amortization | [1] |  |  |  |  |  |  |  |  | 0 |  |  |  |  |
Other operating expense (income), net | [1] |  |  |  |  |  |  |  |  | 0 |  |  |  |  |
Operating income | [1] |  |  |  |  |  |  |  |  | (7,248) |  |  |  |  |
Total other (income) expense | [1] |  |  |  |  |  |  |  |  | 0 |  |  |  |  |
Income before income taxes | [1] |  |  |  |  |  |  |  |  | (7,248) |  |  |  |  |
Provision for income taxes | [1] |  |  |  |  |  |  |  |  | (2,043) |  |  |  |  |
Net income | [1] |  |  |  |  |  |  |  |  | $ (5,205) |  |  |  |  |
[1] | Reflects the impact of the Company's adoption of Accounting Standards Update 2014-09, Revenue from Contracts with Customers (Topic 606) ("ASC 606") and related cost capitalization guidance, which was adopted by the Company on January 1, 2018 using the modified retrospective transition method. The adoption of ASC 606 resulted in an adjustment to retained earnings in our consolidated balance sheet for the cumulative effect of applying the standard, which included costs incurred to obtain a contract, as well as presentation changes in our statements of income, including the classification of certain amounts previously classified as merchant commissions and processing expense net with revenues. As a result of the application of the modified retrospective transition method, the Company's prior period results within its Form 10-K and quarterly reports on Form 10-Q will not be restated to reflect ASC 606.
[2] | Reflects the impact of the Company's adoption of Accounting Standards Update 2016-18, Statement of Cash Flows (Topic 230), which was adopted by the Company on January 1, 2018 and applied retrospectively to results for 2017. The adoption of Topic 230 resulted in the statement of cash flows presenting the changes in the total of cash, cash equivalents and restricted cash. As a result, the Company will no longer present transfers between cash and cash equivalents and restricted cash in the statement of cash flows.

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