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Quarterly Financial Information (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Jan. 02, 2021
Sep. 26, 2020
Jun. 27, 2020
Mar. 28, 2020
Dec. 28, 2019
Sep. 28, 2019
Jun. 29, 2019
Mar. 30, 2019
Jan. 02, 2021
Dec. 28, 2019
Dec. 29, 2018
Interim Period, Costs Not Allocable [Line Items]                      
Net Sales $ 780.5 $ 758.2 $ 634.1 $ 734.2 $ 738.2 $ 772.3 $ 873.7 $ 853.8 $ 2,907.0 $ 3,238.0 $ 3,645.6
Gross Profit 213.5 221.6 170.3 203.3 190.2 201.9 234.0 234.6 808.7 860.7 964.6
Income (Loss) from Operations 74.2 90.0 45.9 70.0 61.7 72.8 96.0 120.6 280.1 351.1 347.0
Net Income 51.5 66.3 29.3 46.7 37.6 50.8 67.4 86.8 193.8 242.6 235.8
Net Income Attributable to Regal Beloit Corporation $ 50.4 $ 65.0 $ 28.1 $ 45.8 $ 36.7 $ 49.7 $ 66.6 $ 85.9 $ 189.3 $ 238.9 $ 231.2
Basic (in dollars per share) $ 1.24 $ 1.60 $ 0.69 $ 1.13 $ 0.90 $ 1.20 $ 1.56 $ 2.01 $ 4.66 $ 5.69 $ 5.30
Assuming Dilution (in dollars per share) $ 1.23 $ 1.60 $ 0.69 $ 1.12 $ 0.89 $ 1.19 $ 1.55 $ 1.99 $ 4.64 $ 5.66 $ 5.26
Basic (in shares) 40.6 40.6 40.5 40.6 40.9 41.5 42.6 42.8 40.6 42.0 43.6
Assuming Dilution (in shares) 40.9 40.8 40.7 40.8 41.1 41.7 43.0 43.1 40.8 42.2 43.9
Gain on Sale of Businesses               $ 41.2 $ 0.1 $ 44.7 $ 0.0
Commercial Systems                      
Interim Period, Costs Not Allocable [Line Items]                      
Net Sales $ 226.4 $ 218.5 $ 175.9 $ 199.4 $ 202.0 $ 214.8 $ 246.3 242.2 820.2 905.3 1,110.9
Gross Profit   61.4 42.3 50.7 48.6 53.6 65.2 65.5   232.9  
Income (Loss) from Operations 22.2 24.6 6.2 12.1 10.9 16.9 19.6 59.4   106.8  
Industrial Systems                      
Interim Period, Costs Not Allocable [Line Items]                      
Net Sales 139.8 138.8 120.6 129.6 138.0 143.8 155.5 138.1 528.8 575.4 671.1
Gross Profit   31.2 24.9 22.6 24.0 23.7 27.8 23.9   99.3  
Income (Loss) from Operations (14.9) 7.3 3.2 (0.1) (4.4) (2.6) (0.1) (5.9)   (13.0)  
Climate Solutions                      
Interim Period, Costs Not Allocable [Line Items]                      
Net Sales 224.5 234.0 178.2 210.1 206.4 230.9 267.9 263.3 846.8 968.5 1,024.8
Income (Loss) from Operations 41.3 39.2 20.0 29.5 35.7 37.6 51.7 38.9      
Power Transmission Solutions                      
Interim Period, Costs Not Allocable [Line Items]                      
Net Sales 189.8 166.9 159.4 195.1 191.8 182.8 204.0 210.2 $ 711.2 $ 788.8 $ 838.8
Income (Loss) from Operations $ 25.6 $ 18.9 $ 16.5 $ 28.5 $ 19.5 $ 20.9 $ 24.8 $ 28.2