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Quarterly Financial Information (Details) - USD ($)
$ / shares in Units, shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Jan. 01, 2022
Oct. 02, 2021
Jul. 03, 2021
Apr. 03, 2021
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. 01, 2022
Jan. 02, 2021
Dec. 28, 2019
Interim Period, Costs Not Allocable [Line Items]                              
Net Sales $ 1,216.6 $ 892.7 $ 886.9 $ 814.1 $ 780.5 $ 758.2 $ 634.1 $ 734.2         $ 3,810.3 $ 2,907.0 $ 3,238.0
Gross Profit 334.2 254.6 251.5 245.4 213.5 221.6 170.3 203.3         1,085.7 808.7 860.7
Income (Loss) from Operations 18.9 107.4 109.0 97.1 74.2 90.0 45.9 70.0         332.4 280.1 351.1
Net Income (3.2) 71.1 81.2 67.0 51.5 66.3 29.3 46.7         216.1 193.8 242.6
Net Income Attributable to Regal Beloit Corporation $ (4.8) $ 69.5 $ 79.6 $ 65.6 $ 50.4 $ 65.0 $ 28.1 $ 45.8         $ 209.9 $ 189.3 $ 238.9
Basic (in dollars per share) $ (0.07) $ 1.71 $ 1.96 $ 1.62 $ 1.24 $ 1.60 $ 0.69 $ 1.13         $ 4.44 $ 4.66 $ 5.69
Assuming Dilution (in dollars per share) $ (0.07) $ 1.70 $ 1.94 $ 1.60 $ 1.23 $ 1.60 $ 0.69 $ 1.12         $ 4.40 $ 4.64 $ 5.66
Basic (in shares) 67.1 40.7 40.7 40.6 40.6 40.6 40.5 40.6         47.3 40.6 42.0
Assuming Dilution (in shares) 67.7 41.0 41.0 41.0 40.9 40.8 40.7 40.8         47.7 40.8 42.2
Commercial Systems                              
Interim Period, Costs Not Allocable [Line Items]                              
Net Sales $ 257.1 $ 268.7 $ 269.3 $ 237.0 $ 226.4 $ 218.5 $ 175.9 $ 199.4         $ 1,032.1 $ 820.2 $ 905.3
Gross Profit           61.4 42.3 50.7 $ 48.6 $ 53.6 $ 65.2 $ 65.5     232.9
Income (Loss) from Operations 16.2 30.4 25.4 27.5 22.2 24.6 6.2 12.1              
Industrial Systems                              
Interim Period, Costs Not Allocable [Line Items]                              
Net Sales 146.7 148.0 145.2 136.4 139.8 138.8 120.6 129.6         576.3 528.8 575.4
Gross Profit           31.2 24.9 22.6 $ 24.0 $ 23.7 $ 27.8 $ 23.9     99.3
Income (Loss) from Operations (27.3) 6.4 3.1 3.7 (14.9) 7.3 3.2 (0.1)              
Climate Solutions                              
Interim Period, Costs Not Allocable [Line Items]                              
Net Sales 265.8 268.4 257.3 239.1 224.5 234.0 178.2 210.1         $ 1,030.6 $ 846.8 $ 968.5
Income (Loss) from Operations 47.2 52.1 46.5 43.3 41.3 39.2 20.0 29.5              
Motion Control Solutions                              
Interim Period, Costs Not Allocable [Line Items]                              
Net Sales 547.0 207.6 215.1 201.6 189.8 166.9 159.4 195.1              
Income (Loss) from Operations $ (17.2) $ 18.5 $ 34.0 $ 22.6 $ 25.6 $ 18.9 $ 16.5 $ 28.5