Debt - Senior Secured Credit Facilities (Details) € in Millions					1 Months Ended	12 Months Ended
	Sep. 30, 2021 USD ($)	Feb. 28, 2020 USD ($)	Aug. 17, 2017 USD ($)	Jun. 30, 2017	Aug. 31, 2023 USD ($)	Dec. 31, 2023 USD ($)	Dec. 31, 2022 USD ($)	Dec. 31, 2021 USD ($)	Apr. 21, 2023 USD ($)	Mar. 31, 2023 USD ($)	Jun. 29, 2020 USD ($)	Feb. 29, 2020 USD ($)	Feb. 28, 2020 EUR (€)	Jun. 28, 2019 USD ($)	Dec. 13, 2018	Dec. 12, 2018	Jul. 30, 2018 USD ($)	Aug. 17, 2017 EUR (€)	Mar. 04, 2016 USD ($)	Mar. 03, 2016 USD ($)	Jul. 30, 2013 USD ($)	Jul. 30, 2013 EUR (€)
Debt Instrument [Line Items]
"Change of Control" threshold (as a percent)															50.00%	35.00%
Unamortized discounts						$ 9,900,000	$ 2,100,000
Loss on extinguishment of debt	$ 9,000,000					$ 13,500,000	1,100,000	$ 9,000,000.0
Federal Funds Effective Rate
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						0.50%
SOFR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						1.00%
Term of variable rate						1 month
Base Rate
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						1.00%
Senior Secured Credit Facility
Debt Instrument [Line Items]
Aggregate principal amount																					$ 2,825,000,000
Commitment fee (as a percent)						0.375%
Commitment fee upon achievement of Level 1 status (as a percent)						0.25%
Commitment fee upon achievement of Level 2 status (as a percent)						0.125%
Senior Secured Credit Facility | Maximum
Debt Instrument [Line Items]
Consolidated senior secured debt to consolidated EBITDA ratio at Level 1 status						1.75
Consolidated senior secured debt to consolidated EBITDA ratio at Level 2 status						1.50
Senior Secured Credit Facility | Incremental Term Loans / Revolving Commitments
Debt Instrument [Line Items]
Maximum borrowing capacity						$ 1,600,000,000
Proportion of Consolidated EBITDA to determine maximum borrowing capacity (as a percent)						100.00%
Senior Secured Credit Facility | Condition One | Maximum
Debt Instrument [Line Items]
Consolidated senior secured debt to consolidated EBITDA ratio						4.50
Senior Secured Credit Facility | Condition Two | Maximum
Debt Instrument [Line Items]
Consolidated senior secured debt to consolidated EBITDA ratio						5.00
Original Dollar Term Loan Facility
Debt Instrument [Line Items]
Aggregate principal amount																					1,900,000,000
Maximum borrowing capacity			$ 1,285,500,000
Long-term debt		$ 927,600,000
Unamortized discounts		1,200,000
Original Dollar Term Loan Facility | LIBOR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)			0.00%	1.00%
Euro Term Loan due in 2020
Debt Instrument [Line Items]
Aggregate principal amount | €																						€ 400.0
Maximum borrowing capacity | €																		€ 615.0
Long-term debt | €													€ 601.2
Unamortized discounts | €													€ 0.8
Write-off of unamortized debt issuance costs		$ 2,000,000
Euro Term Loan due in 2020 | LIBOR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)			0.00%	1.00%
Euro Term Loan due in 2020 | SOFR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						2.00%
Revolving credit facility, due 2020
Debt Instrument [Line Items]
Maximum borrowing capacity																	$ 269,900,000		$ 360,000,000		400,000,000
Decrease in borrowing capacity																			40,000,000
Minimum aggregate principal amount for extension amendments																			$ 35,000,000	$ 50,000,000
Long-term debt						$ 1,100,000,000
Increase (decrease) in debt instrument						100,000,000
Revolving credit facility, due 2020 | Ingersoll Rand
Debt Instrument [Line Items]
Aggregate principal amount						2,000,000,000
Letters of credit outstanding						$ 400,000,000
Revolving credit facility, due 2020 | SOFR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						2.00%
Revolving credit facility, due 2020 | Base Rate
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						1.00%
Revolving credit facility, due 2020 | EURIBOR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						2.00%
Revolving credit facility, due 2020 | SONIA
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						2.00%
Revolving credit facility, due 2024
Debt Instrument [Line Items]
Aggregate principal amount														$ 450,000,000
Basis spread on variable rate (as a percent)			0.00%
Letters of credit outstanding						$ 0
Long-term debt obligations						0
Unused borrowing capacity						$ 2,000,000,000
Revolving credit facility, due 2024 | Ingersoll Rand
Debt Instrument [Line Items]
Long-term debt												$ 1,000,000,000
Letters of credit outstanding												400,000,000
Revolving credit facility, due 2024 | EURIBOR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						0.00%
Revolving credit facility, due 2024 | SONIA
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						0.00%
Revolving credit facility, due 2024 | Letter of Credit
Debt Instrument [Line Items]
Maximum borrowing capacity														$ 200,000,000							$ 200,000,000
Dollar Term Loan B, due 2027
Debt Instrument [Line Items]
Long-term debt						$ 347,700,000	1,846,300,000					1,900,000,000
Unamortized discounts												$ 2,400,000
Write-off of unamortized debt issuance costs					$ 12,600,000
Dollar Term Loan B, due 2027 | SOFR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						1.75%
Dollar Term Loan B, due 2027 | Base Rate
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						0.75%
Dollar Term Loan Series A, due 2027
Debt Instrument [Line Items]
Long-term debt											$ 400,000,000
Unamortized discounts											$ 6,000,000
Dollar Term Loan, due 2027
Debt Instrument [Line Items]
Long-term debt						$ 892,300,000	$ 901,400,000
Repayments of debt	$ 396,000,000
Dollar Term Loan, due 2024 | SOFR
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						1.75%
Dollar Term Loan, due 2024 | Base Rate
Debt Instrument [Line Items]
Basis spread on variable rate (as a percent)						0.75%
Revolving Credit Facility
Debt Instrument [Line Items]
Write-off of unamortized debt issuance costs						$ 900,000
Unused borrowing capacity									$ 2,000,000,000	$ 1,100,000,000