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Business Acquisitions and Divestiture - Acquisitions (Details) - USD ($) $ in Thousands |  |  |  |  |  |  |  |  | 1 Months Ended |  |  |
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Aug. 28, 2017 | May 02, 2017 | Mar. 23, 2016 | Feb. 05, 2016 | Jan. 12, 2016 | Nov. 30, 2015 | Sep. 01, 2015 | Mar. 31, 2015 | Feb. 03, 2016 | Dec. 30, 2017 | Dec. 31, 2016 | Dec. 26, 2015
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition allocated initial goodwill amount |  |  |  |  |  |  |  |  |  | $ 2,301,331 | $ 2,019,740 | $ 1,907,593
Southern Anesthesia and Surgical Inc [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity |  | $ 72,000 |  |  |  |  |  |  |  |  |  |
Business acquisition allocated initial goodwill amount |  | $ 76,500 |  |  |  |  |  |  |  |  |  |
Merritt Veterinary Supplies Inc [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity | $ 115,000 |  |  |  |  |  |  |  |  |  |  |
Business acquisition allocated initial goodwill amount | $ 33,400 |  |  |  |  |  |  |  |  |  |  |
Vetstreet, Inc [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Acquired equity interest (as a percent) |  |  |  |  | 80.10% |  |  |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity |  |  |  |  | $ 40,000 |  |  |  |  |  |  |
Business acquisition allocated initial goodwill amount |  |  |  |  | $ 17,900 |  |  |  |  |  |  |
Rxworks Inc [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity |  |  |  |  |  |  |  |  | $ 7,000 |  |  |
Business acquisition allocated initial goodwill amount |  |  |  |  |  |  |  |  | $ 4,200 |  |  |
Dental Cremer S.A. [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity |  |  |  | $ 70,000 |  |  |  |  |  |  |  |
Business acquisition allocated initial goodwill amount |  |  |  | $ 37,500 |  |  |  |  |  |  |  |
Series of Individually Immaterial Business Acquisitions [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition allocated initial goodwill amount |  |  |  |  |  |  |  |  |  | $ 43,900 | $ 69,900 | $ 27,100
J Marita [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Acquired equity interest (as a percent) |  |  | 50.00% |  |  |  |  |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity |  |  | $ 125,000 |  |  |  |  |  |  |  |  |
scil animal care company GmbH [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity |  |  |  |  |  |  |  | $ 83,000 |  |  |  |
Business acquisition allocated initial goodwill amount |  |  |  |  |  |  |  | $ 3,500 |  |  |  |
Jorgen Kruuse A/S [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Acquired equity interest (as a percent) |  |  |  |  |  |  | 85.00% |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity |  |  |  |  |  |  | $ 90,000 |  |  |  |  |
Business acquisition allocated initial goodwill amount |  |  |  |  |  |  | $ 20,700 |  |  |  |  |
Dental Trey (S.R.L.) [Member] |  |  |  |  |  |  |  |  |  |  |  |
Business Acquisition [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Business acquisition, approximate annual sales of acquired entity |  |  |  |  |  | $ 49,000 |  |  |  |  |  |
Business acquisition allocated initial goodwill amount |  |  |  |  |  | $ 8,500 |  |  |  |  |  |

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