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Stock-Based Compensation - Assumptions Used to Estimate Fair Value (Details)
12 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Dec. 31, 2019
Stock Options and SARs      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Expected life of options (in years) 6 years 3 months 18 days 6 years 3 months 18 days 6 years 3 months 18 days
Expected dividend rate (as a percent)   0.00% 0.00%
Stock Options and SARs | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Risk-free interest rate (as a percent) 0.90% 0.40% 1.70%
Volatility rate (as a percent) 38.60% 24.60% 24.80%
Expected dividend rate (as a percent) 0.00%    
Stock Options and SARs | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Risk-free interest rate (as a percent) 1.30% 1.50% 2.60%
Volatility rate (as a percent) 39.40% 41.10% 31.80%
Expected dividend rate (as a percent) 0.10%    
Performance Share Units      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Expected life of options (in years) 2 years 10 months 24 days 2 years 9 months 18 days  
Risk-free interest rate (as a percent) 0.20% 0.50%  
Volatility rate (as a percent) 36.90% 35.20%  
Expected dividend rate (as a percent) 0.00% 0.00%  
Ingersoll Rand      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Risk-free interest rate (as a percent) 0.90%    
Volatility rate (as a percent) 34.20%    
Expected dividend rate (as a percent) 0.00%    
Ingersoll Rand | Minimum      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Expected life of options (in years) 2 years    
Ingersoll Rand | Maximum      
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Expected life of options (in years) 3 years 7 months 6 days