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Supplemental balance sheet and cash flow information (intangibles) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jun. 01, 2021
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Dec. 31, 2020
Amortizable intangibles [Line Items]            
Gross carrying amount   $ 1,191,353   $ 1,191,353   $ 834,033
Accumulated amortization   (675,417)   (675,417)   (587,273)
Net carrying amount   515,936   515,936   246,760
Acquired intangibles       $ 357,349    
Acquired intangibles, weighted-average amortization period (in years)       9 years    
Amortization of intangibles   36,570 $ 22,515 $ 88,393 $ 67,555  
Estimated future amortization expense            
Remainder of 2021   41,235   41,235    
2022   130,462   130,462    
2023   101,863   101,863    
2024   62,576   62,576    
2025   46,791   46,791    
First American Payment Systems, L.P. [Member]            
Amortizable intangibles [Line Items]            
Acquired intangibles $ 279,111          
Customer lists/relationships [Member]            
Amortizable intangibles [Line Items]            
Gross carrying amount   495,416   495,416   352,895
Accumulated amortization   (243,817)   (243,817)   (202,428)
Net carrying amount   251,599   251,599   150,467
Acquired intangibles [1]       $ 142,514    
Acquired intangibles, weighted-average amortization period (in years) [1]       8 years    
Customer lists/relationships [Member] | First American Payment Systems, L.P. [Member]            
Amortizable intangibles [Line Items]            
Acquired intangibles $ 118,000          
Acquired intangibles, weighted-average amortization period (in years) 8 years          
Internal-use software [Member]            
Amortizable intangibles [Line Items]            
Gross carrying amount   439,785   $ 439,785   380,144
Accumulated amortization   (337,242)   (337,242)   (303,422)
Net carrying amount   102,543   102,543   76,722
Acquired intangibles       $ 59,429    
Acquired intangibles, weighted-average amortization period (in years)       3 years    
Internal-use software [Member] | First American Payment Systems, L.P. [Member]            
Amortizable intangibles [Line Items]            
Acquired intangibles $ 6,111          
Technology-based intangibles [Member]            
Amortizable intangibles [Line Items]            
Gross carrying amount   99,813   $ 99,813   33,813
Accumulated amortization   (35,013)   (35,013)   (27,613)
Net carrying amount   64,800   64,800   6,200
Acquired intangibles       $ 66,000    
Acquired intangibles, weighted-average amortization period (in years)       8 years    
Technology-based intangibles [Member] | First American Payment Systems, L.P. [Member]            
Amortizable intangibles [Line Items]            
Acquired intangibles 66,000          
Partner relationships [Member]            
Amortizable intangibles [Line Items]            
Gross carrying amount   67,406   $ 67,406   0
Accumulated amortization   (1,525)   (1,525)   0
Net carrying amount   65,881   65,881   0
Acquired intangibles       $ 67,406    
Acquired intangibles, weighted-average amortization period (in years)       15 years    
Partner relationships [Member] | First American Payment Systems, L.P. [Member]            
Amortizable intangibles [Line Items]            
Acquired intangibles 67,000          
Trade names [Member]            
Amortizable intangibles [Line Items]            
Gross carrying amount   52,033   $ 52,033   30,281
Accumulated amortization   (30,766)   (30,766)   (29,926)
Net carrying amount   21,267   21,267   355
Acquired intangibles       $ 22,000    
Acquired intangibles, weighted-average amortization period (in years)       10 years    
Trade names [Member] | First American Payment Systems, L.P. [Member]            
Amortizable intangibles [Line Items]            
Acquired intangibles $ 22,000          
Software to be sold [Member]            
Amortizable intangibles [Line Items]            
Gross carrying amount   36,900   $ 36,900   36,900
Accumulated amortization   (27,054)   (27,054)   (23,884)
Net carrying amount   $ 9,846   $ 9,846   $ 13,016
[1] Included $118,000 acquired via the First American acquisition (Note 6) with a weighted-average useful life of 8 years.