Organizational Structure and Corporate Information - Additional Information (Details) - USD ($)					12 Months Ended
	Dec. 29, 2021	Jun. 22, 2021	Jun. 15, 2021	Jan. 19, 2021	Dec. 31, 2021	Dec. 31, 2020	Jan. 01, 2021
Summary Of Significant Accounting Policies [Line Items]
Payments made to acquire business					$ 1,500,000	$ 4,070,549
BT Intermediate LLC
Summary Of Significant Accounting Policies [Line Items]
Payments made to acquire business			$ 505,800,000
Business combination, cash consideration			$ 277,500,000
Kontrol LLC
Summary Of Significant Accounting Policies [Line Items]
Payments made to acquire business		$ 7,400,000
Business combination, cash consideration		$ 10,500,000
Payix Holdings Incorporated
Summary Of Significant Accounting Policies [Line Items]
Payments made to acquire business	$ 95,600,000
Business combination, cash consideration	115,000,000.0
Contingent earn-out right to be received	$ 20,000,000.0
2026 Notes
Summary Of Significant Accounting Policies [Line Items]
Aggregate principal amount							$ 440,000,000.0
Notes Offering | 2026 Notes
Summary Of Significant Accounting Policies [Line Items]
Aggregate principal amount				$ 440,000,000.0
Debt Instrument, Interest Rate, Stated Percentage				0.00%
Debt instrument, maturity date				Feb. 01, 2026
Additional Option for Initial Purchasers | 2026 Notes
Summary Of Significant Accounting Policies [Line Items]
Aggregate principal amount				$ 40,000,000.0
Class A Common Stock | BT Intermediate LLC
Summary Of Significant Accounting Policies [Line Items]
Business combination, stock transaction			10,000,000
Business combination, common stock voting power			10.00%
Class A Common Stock | Equity Offering
Summary Of Significant Accounting Policies [Line Items]
Issuance of new shares, shares				6,244,500
Number of shares of common stock sold				814,500
Public offering price				$ 24.00