Debt - Narrative (Details) € in Millions					12 Months Ended
	Feb. 28, 2020 USD ($)	Jul. 30, 2018 USD ($)	Aug. 17, 2017 USD ($)	Jun. 30, 2017 USD ($)	Dec. 31, 2020 USD ($)	Dec. 31, 2019 USD ($)	Dec. 31, 2018 USD ($)	Dec. 31, 2020 EUR (€)	Jun. 29, 2020 USD ($)	Feb. 29, 2020 USD ($)	Feb. 28, 2020 EUR (€)	Jun. 28, 2019 USD ($)	Dec. 13, 2018	Dec. 12, 2018	Aug. 17, 2017 EUR (€)	May 31, 2016 USD ($)	Mar. 04, 2016 USD ($)	Mar. 03, 2016 USD ($)	Jul. 30, 2013 USD ($)	Jul. 30, 2013 EUR (€)
Debt Instrument, Senior Secured Credit Facilities [Abstract]
"Change of Control" threshold (as a percent)													50.00%	35.00%
Write-off of unamortized debt issuance costs						$ 200,000
Amortization and Final Maturity [Abstract]
Principal payment of outstanding borrowings					$ 1,619,100,000	32,800,000	$ 337,600,000
Long-term Debt, Fiscal Year Maturity [Abstract]
Debt maturities, next twelve months					40,400,000
Debt maturities, year two					40,500,000
Debt maturities, year three					40,600,000
Debt maturities, year four					40,700,000
Debt maturities, year five					40,800,000
Debt maturities, after year five					$ 3,747,300,000
LIBOR
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					1.00%
Outstanding borrowing					$ 3,204,400,000			€ 596.7
Interest Rate and Fees [Abstract]
Term of variable rate					1 month
Federal Funds Effective Rate
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					0.50%
Base Rate
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					1.00%
Senior Secured Credit Facility
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Aggregate borrowing																			$ 2,825,000,000.0
Interest Rate and Fees [Abstract]
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%
Prepayments [Abstract]
Proportion of annual excess cash flow for prepayment of outstanding loan under restrictive covenants (as a percent)					25.00%
Proportion of the net cash proceeds of all non-ordinary course asset sales for prepayment of outstanding term loan (as a percent)					100.00%
Reduction in proportion of the net cash proceeds of all non-ordinary course asset sales for prepayment of outstanding term loan (as a percent)					50.00%
Proportion of net cash proceeds of any incurrence of debt for prepayment of outstanding term loan (as a percent)					100.00%
Senior Secured Credit Facility | Incremental Term Loans / Revolving Commitments
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Maximum borrowing capacity					$ 1,600,000,000
Proportion of Consolidated EBITDA to determine maximum borrowing capacity (as a percent)					100.00%			100.00%
Receivables Financing Agreement [Abstract]
Aggregate borrowing capacity					$ 1,600,000,000
Senior Secured Credit Facility | Maximum
Interest Rate and Fees [Abstract]
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
Prepayments [Abstract]
Consolidated secured debt to consolidated EBITDA ratio considered for prepayment of outstanding term loan					2.25
Senior Secured Credit Facility | Minimum
Prepayments [Abstract]
Consolidated secured debt to consolidated EBITDA ratio considered for prepayment of outstanding term loan					2.00
Certain Covenants and Events of Default [Abstract]
Proportion of non-cash collateralized letters of credit (as a percent)					40.00%
Senior Secured Credit Facility | Condition One | Maximum
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Consolidated senior secured debt to consolidated EBITDA ratio					4.50
Senior Secured Credit Facility | Condition Two | Maximum
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Consolidated senior secured debt to consolidated EBITDA ratio					5.00
Original Dollar Term Loan Facility
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Aggregate borrowing																			1,900,000,000.0
Maximum borrowing capacity			$ 1,285,500,000
Long-term debt	$ 927,600,000
Original issue discounts	1,200,000
Receivables Financing Agreement [Abstract]
Aggregate borrowing capacity			$ 1,285,500,000
Original Dollar Term Loan Facility | LIBOR
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)			0.00%	1.00%
Euro Term Loan due in 2020
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Aggregate borrowing | €																				€ 400.0
Maximum borrowing capacity | €															€ 615.0
Long-term debt | €											€ 601.2
Write-off of unamortized debt issuance costs	$ 2,000,000.0
Original issue discounts | €											€ 0.8
Receivables Financing Agreement [Abstract]
Aggregate borrowing capacity | €															€ 615.0
Euro Term Loan due in 2020 | LIBOR
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)			0.00%	1.00%	2.00%
Revolving Credit Facility due 2020
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Maximum borrowing capacity																	$ 360,000,000.0		400,000,000.0
Decrease in borrowing capacity																	40,000,000.0
Increase (decrease) in debt instrument		$ (269,900,000)			$ 100,000,000.0
Minimum aggregate principal amount for extension amendments																	35,000,000.0	$ 50,000,000.0
Basis spread on variable rate (as a percent)			0.00%		0.00%
Long-term debt					$ 1,100,000,000.0
Receivables Financing Agreement [Abstract]
Aggregate borrowing capacity																	$ 360,000,000.0		$ 400,000,000.0
Revolving Credit Facility due 2020 | Ingersoll Rand
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Aggregate borrowing					1,100,000,000.0
Letters of credit outstanding					$ 400,000,000.0
Revolving Credit Facility due 2020 | LIBOR
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					2.00%
Revolving Credit Facility due 2020 | Base Rate
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					1.00%
Revolving Credit Facility due 2020 | Maximum
Certain Covenants and Events of Default [Abstract]
Consolidated senior secured debt to consolidated EBITDA ratio					6.25
New Revolving Credit Facility
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Aggregate borrowing												$ 450,000,000.0
Letters of credit outstanding					$ 101,900,000
Outstanding borrowing					0
Unused borrowing capacity					998,100,000
New Revolving Credit Facility | Ingersoll Rand
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt										$ 1,000,000,000.0
Letters of credit outstanding										400,000,000.0
New Revolving Credit Facility | Letter of Credit
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Maximum borrowing capacity												200,000,000.0
Receivables Financing Agreement [Abstract]
Aggregate borrowing capacity												$ 200,000,000.0
Dollar Term Loan B, due 2027
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt					1,883,700,000	0				1,900,000,000.0
Original issue discounts					$ 2,100,000					$ 2,400,000
Dollar Term Loan B, due 2027 | LIBOR
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					1.75%
Dollar Term Loan B, due 2027 | Base Rate
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					0.75%
Dollar Term Loan Series A, due 2027
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt					$ 392,400,000	0			$ 400,000,000.0
Original issue discounts					$ 5,600,000				$ 6,000,000.0
Prepayments [Abstract]
Proportion of prepayment premium of principal amount (as a percent)					1.00%
Dollar Term Loan Series A, due 2027 | LIBOR
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					2.75%
Dollar Term Loan Series A, due 2027 | Base Rate
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					1.75%
Dollar Term Loan, due 2024
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt					$ 0	$ 927,600,000
Prepayments [Abstract]
Proportion of prepayment premium of principal amount (as a percent)					1.00%
Amortization and Final Maturity [Abstract]
Proportion of original principal amount for quarterly installment payment of debt amortization (as a percent)					1.00%
Dollar Term Loan, due 2024 | LIBOR
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					1.75%
Dollar Term Loan, due 2024 | Base Rate
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Basis spread on variable rate (as a percent)					0.75%
Receivables Financing Agreement
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Maximum borrowing capacity				$ 125,000,000.0												$ 75,000,000.0
Receivables Financing Agreement [Abstract]
Aggregate borrowing capacity				125,000,000.0												$ 75,000,000.0
Increase in aggregate borrowing capacity				$ 50,000,000.0