Goodwill and Other Intangible Assets - Goodwill by Acquisition (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2020	Dec. 31, 2019
Business Combination, Goodwill [Abstract]
Goodwill acquired	$ 4,904.6	$ 8.3
Ingersoll Rand Industrial
Business Combination, Goodwill [Abstract]
Goodwill acquired	4,885.9
Albin Pump SAS
Business Combination, Goodwill [Abstract]
Goodwill acquired	3.2
Other acquisitions
Business Combination, Goodwill [Abstract]
Goodwill acquired	15.5
Oina
Business Combination, Goodwill [Abstract]
Goodwill acquired		2.0
ACBN
Business Combination, Goodwill [Abstract]
Goodwill acquired		6.3
Industrial Technologies and Services
Business Combination, Goodwill [Abstract]
Goodwill acquired	3,213.5	6.3
Industrial Technologies and Services | Ingersoll Rand Industrial
Business Combination, Goodwill [Abstract]
Goodwill acquired	3,198.0
Industrial Technologies and Services | Albin Pump SAS
Business Combination, Goodwill [Abstract]
Goodwill acquired	0.0
Industrial Technologies and Services | Other acquisitions
Business Combination, Goodwill [Abstract]
Goodwill acquired	15.5
Industrial Technologies and Services | Oina
Business Combination, Goodwill [Abstract]
Goodwill acquired		0.0
Industrial Technologies and Services | ACBN
Business Combination, Goodwill [Abstract]
Goodwill acquired		6.3
Precision and Science Technologies
Business Combination, Goodwill [Abstract]
Goodwill acquired	1,165.5	2.0
Precision and Science Technologies | Ingersoll Rand Industrial
Business Combination, Goodwill [Abstract]
Goodwill acquired	1,162.3
Precision and Science Technologies | Albin Pump SAS
Business Combination, Goodwill [Abstract]
Goodwill acquired	3.2
Precision and Science Technologies | Other acquisitions
Business Combination, Goodwill [Abstract]
Goodwill acquired	0.0
Precision and Science Technologies | Oina
Business Combination, Goodwill [Abstract]
Goodwill acquired		2.0
Precision and Science Technologies | ACBN
Business Combination, Goodwill [Abstract]
Goodwill acquired		0.0
Specialty Vehicle Technologies
Business Combination, Goodwill [Abstract]
Goodwill acquired	525.6	0.0
Specialty Vehicle Technologies | Ingersoll Rand Industrial
Business Combination, Goodwill [Abstract]
Goodwill acquired	525.6
Specialty Vehicle Technologies | Albin Pump SAS
Business Combination, Goodwill [Abstract]
Goodwill acquired	0.0
Specialty Vehicle Technologies | Other acquisitions
Business Combination, Goodwill [Abstract]
Goodwill acquired	0.0
Specialty Vehicle Technologies | Oina
Business Combination, Goodwill [Abstract]
Goodwill acquired		0.0
Specialty Vehicle Technologies | ACBN
Business Combination, Goodwill [Abstract]
Goodwill acquired		0.0
High Pressure Solutions
Business Combination, Goodwill [Abstract]
Goodwill acquired	0.0	0.0
High Pressure Solutions | Ingersoll Rand Industrial
Business Combination, Goodwill [Abstract]
Goodwill acquired	0.0
High Pressure Solutions | Albin Pump SAS
Business Combination, Goodwill [Abstract]
Goodwill acquired	0.0
High Pressure Solutions | Other acquisitions
Business Combination, Goodwill [Abstract]
Goodwill acquired	$ 0.0
High Pressure Solutions | Oina
Business Combination, Goodwill [Abstract]
Goodwill acquired		0.0
High Pressure Solutions | ACBN
Business Combination, Goodwill [Abstract]
Goodwill acquired		$ 0.0