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Cost-reduction actions - Additional Information (Detail) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Restructuring Cost and Reserve [Line Items]                      
Cost-reduction charges and other costs $ 46.9 $ 13.2 $ 7.9 $ 27.5 $ 23.3 $ 0.2 $ 2.6 $ 2.6 $ 95.5 $ 28.7 $ 19.7
Charges related to work-force reductions                 25.5 22.1 19.0
Other expenses related to the cost-reduction effort                 70.0 6.6  
Employee severance                      
Restructuring Cost and Reserve [Line Items]                      
Cost-reduction charges and other costs                 39.0 25.7 27.7
Charges related to work-force reductions                 39.0 25.7 27.7
Changes in estimates                      
Restructuring Cost and Reserve [Line Items]                      
Charges related to work-force reductions                 (13.5) 3.6 8.7
Foreign currency losses related to exiting foreign countries                      
Restructuring Cost and Reserve [Line Items]                      
Other expenses related to the cost-reduction effort                 32.3    
Asset impairments                      
Restructuring Cost and Reserve [Line Items]                      
Other expenses related to the cost-reduction effort                 24.0    
Other expenses                      
Restructuring Cost and Reserve [Line Items]                      
Other expenses related to the cost-reduction effort                 $ 13.7 0.9  
Lease abandonment costs                      
Restructuring Cost and Reserve [Line Items]                      
Other expenses related to the cost-reduction effort                   4.6  
Asset write-offs                      
Restructuring Cost and Reserve [Line Items]                      
Other expenses related to the cost-reduction effort                   $ 1.1  
Idle leased facilities                      
Restructuring Cost and Reserve [Line Items]                      
Other expenses related to the cost-reduction effort                     $ 0.7