Debt - Senior Secured Credit Facilities (Details) € in Millions, $ in Millions			3 Months Ended	12 Months Ended
	Feb. 28, 2020 USD ($)	Aug. 17, 2017	Mar. 31, 2021 USD ($)	Dec. 31, 2014	Mar. 31, 2021 EUR (€)	Dec. 31, 2020 USD ($)	Jun. 29, 2020 USD ($)	Feb. 29, 2020 USD ($)	Feb. 28, 2020 EUR (€)
LIBOR
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Outstanding borrowings			$ 3,196.4		€ 595.1
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			1.00%
Term of variable rate			1 month
Federal Funds Effective Rate
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			0.50%
Base Rate
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			1.00%
Original Dollar Term Loan Facility
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt	$ 927.6
Original issue discounts	1.2
Dollar Term Loan, due 2024
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
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			1.75%
Dollar Term Loan, due 2024 | Base Rate
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			0.75%
Dollar Term Loan B, due 2027
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt			$ 1,879.0			$ 1,883.7		$ 1,900.0
Original issue discounts			$ 2.0					2.4
Dollar Term Loan B, due 2027 | LIBOR
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			1.75%
Dollar Term Loan B, due 2027 | Base Rate
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			0.75%
Senior Secured Credit Facility
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 (as a percent)				50.00%
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 | 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%
Euro Term Loan due in 2020
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt | €									€ 601.2
Original issue discounts | €									€ 0.8
Write-off of unamortized debt issuance costs	$ 2.0
Euro Term Loan due in 2020 | LIBOR
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			2.00%
Revolving Credit Facility
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt			$ 1,100.0
Letters of credit outstanding			105.4
Increase in debt instrument			100.0
Outstanding borrowings			0.0
Unused borrowing capacity			$ 994.6
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)		0.00%
Revolving Credit Facility | LIBOR
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			2.00%
Revolving Credit Facility | Base Rate
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			1.00%
Revolving Credit Facility | Maximum
Interest Rate and Fees [Abstract]
Consolidated senior secured debt to consolidated EBITDA ratio			6.25
Revolving Credit Facility | Ingersoll Rand
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt								1,000.0
Letters of credit outstanding								$ 400.0
Dollar Term Loan Series A, due 2027
Debt Instrument, Senior Secured Credit Facilities [Abstract]
Long-term debt			$ 391.7			$ 392.4	$ 400.0
Original issue discounts			$ 5.3				$ 6.0
Prepayments [Abstract]
Proportion of prepayment premium of principal amount (as a percent)			1.00%
Dollar Term Loan Series A, due 2027 | LIBOR
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			2.75%
Dollar Term Loan Series A, due 2027 | Base Rate
Interest Rate and Fees [Abstract]
Basis spread on variable rate (as a percent)			1.75%