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Summary of Significant Accounting Policies - Change in Accounting Principle (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2023
Oct. 01, 2023
Jul. 02, 2023
Apr. 02, 2023
Jan. 01, 2023
Oct. 02, 2022
Jul. 03, 2022
Apr. 03, 2022
Dec. 31, 2023
Jan. 01, 2023
Jan. 02, 2022
Jan. 04, 2021
Jan. 03, 2021
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Loss on asset sales and sales of businesses, net                 $ 0.4 $ 105.4 $ 0.0    
Operating income $ 108.3 $ 125.2 $ 120.3 $ 112.6 $ 108.7 $ 113.2 $ 17.2 $ 77.0 466.4 316.1 117.6    
Nonoperating retirement benefit income (expense)                 (79.7) 138.4 260.0    
Income (loss) before income taxes                 295.2 354.6 233.4    
Income tax provision (benefit)                 (128.2) 15.5 26.8    
Net income 149.2 94.1 93.5 86.6 197.3 80.2 10.4 51.2 423.4 339.1 206.6    
Net loss (gain) from sales of businesses                 0.6 112.2 (13.8)    
Net income attributable to ATI $ 145.7 $ 90.2 $ 90.4 $ 84.5 $ 193.0 $ 76.9 $ 6.7 $ 46.9 $ 410.8 $ 323.5 $ 184.6    
Basic net income (loss) attributable to ATI per common share (in dollars per share) $ 1.15 $ 0.70 $ 0.70 $ 0.66 $ 1.49 $ 0.59 $ 0.05 $ 0.37 $ 3.21 $ 2.54 $ 1.45    
Diluted net income (loss) attributable to ATI per common share (in dollars per share) $ 0.99 $ 0.62 $ 0.62 $ 0.58 $ 1.30 $ 0.53 $ 0.05 $ 0.33 $ 2.81 $ 2.23 $ 1.32    
Amortization of net actuarial loss                 $ 6.0 $ 13.2 $ 13.9    
Net loss arising during the period                 (3.8) 54.7 8.7    
Settlement loss (gain) included in net income (loss)                 1.1 0.7 (21.9)    
Income taxes on postretirement benefit plans                 0.3 0.0 (15.5)    
Total                 2.4 68.1 14.4    
Other comprehensive income (loss), net of tax                 (16.2) 55.6 13.9    
Retained loss $ (70.1)       $ (480.9)       (70.1) (480.9) (777.7)    
Accumulated other comprehensive loss, net of tax (83.2)       (67.4)       (83.2) (67.4) (141.3)   $ (1,223.6)
Deferred taxes                 (138.2) (0.1) 1.0    
Retirement benefits                 53.8 (159.2) (261.9)    
Stockholders' equity, including portion attributable to noncontrolling interest 1,480.5       1,157.2       1,480.5 1,157.2 832.7   641.4
Change in Accounting Principle, Other                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Stockholders' equity, including portion attributable to noncontrolling interest                         0.0
Retained Earnings                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Net income                 410.8 323.5 184.6    
Stockholders' equity, including portion attributable to noncontrolling interest (70.1)       (480.9)       (70.1) (480.9) (777.7)   106.5
Retained Earnings | Change in Accounting Principle, Other                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Stockholders' equity, including portion attributable to noncontrolling interest                       $ (1,073.2) (1,073.2)
Retained Earnings | Accounting Standards Update 2020-06                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Stockholders' equity, including portion attributable to noncontrolling interest                         4.4
Accumulated Other Comprehensive Income (Loss)                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Other comprehensive income (loss), net of tax                 (15.8) 73.9 9.1    
Stockholders' equity, including portion attributable to noncontrolling interest (83.2)       (67.4)       (83.2) (67.4) (141.3)   (1,223.6)
Accumulated Other Comprehensive Income (Loss) | Change in Accounting Principle, Other                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Stockholders' equity, including portion attributable to noncontrolling interest                       1,073.2 $ 1,073.2
Reported Under The Previous Policy                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Loss on asset sales and sales of businesses, net                   134.2      
Operating income                   287.3      
Nonoperating retirement benefit income (expense)                 (1,036.6) (25.4)      
Income (loss) before income taxes                 (661.7) 162.0      
Income tax provision (benefit)                 (342.5)        
Net income                 (319.2) 146.5      
Net loss (gain) from sales of businesses                   141.0      
Net income attributable to ATI                 $ (331.8) $ 130.9      
Basic net income (loss) attributable to ATI per common share (in dollars per share)                 $ (2.59) $ 1.03      
Diluted net income (loss) attributable to ATI per common share (in dollars per share)                 $ (2.59) $ 0.96      
Amortization of net actuarial loss                 $ 55.7 $ 76.7      
Net loss arising during the period                 (71.4) 155.0      
Settlement loss (gain) included in net income (loss)                 975.9 29.5      
Income taxes on postretirement benefit plans                 214.6        
Total                 745.0 260.7      
Other comprehensive income (loss), net of tax                 726.4 248.2      
Retained loss (154.9)       176.9       (154.9) 176.9      
Accumulated other comprehensive loss, net of tax 1.6       (725.2)       1.6 (725.2)      
Deferred taxes                 (352.5)        
Retirement benefits                 1,010.7 4.6      
Reported Under The Previous Policy | Retained Earnings                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Net income                 (331.8) 130.9      
Stockholders' equity, including portion attributable to noncontrolling interest (154.9)       176.9       (154.9) 176.9      
Reported Under The Previous Policy | Accumulated Other Comprehensive Income (Loss)                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Other comprehensive income (loss), net of tax                 726.8 266.5      
Stockholders' equity, including portion attributable to noncontrolling interest 1.6       (725.2)       1.6 (725.2)      
Revision of Prior Period, Change in Accounting Principle, Adjustment                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Loss on asset sales and sales of businesses, net                   (28.8)      
Operating income                   28.8      
Nonoperating retirement benefit income (expense)                 956.9 163.8      
Income (loss) before income taxes                 956.9 192.6      
Income tax provision (benefit)                 214.3        
Net income                 742.6 192.6      
Net loss (gain) from sales of businesses                   (28.8)      
Net income attributable to ATI                 $ 742.6 $ 192.6      
Basic net income (loss) attributable to ATI per common share (in dollars per share)                 $ 5.80 $ 1.51      
Diluted net income (loss) attributable to ATI per common share (in dollars per share)                 $ 5.40 $ 1.27      
Amortization of net actuarial loss                 $ (49.7) $ (63.5)      
Net loss arising during the period                 67.6 (100.3)      
Settlement loss (gain) included in net income (loss)                 (974.8) (28.8)      
Income taxes on postretirement benefit plans                 (214.3)        
Total                 (742.6) (192.6)      
Other comprehensive income (loss), net of tax                 (742.6) (192.6)      
Retained loss 84.8       (657.8)       84.8 (657.8)      
Accumulated other comprehensive loss, net of tax (84.8)       657.8       (84.8) 657.8      
Deferred taxes                 214.3        
Retirement benefits                 (956.9) (163.8)      
Revision of Prior Period, Change in Accounting Principle, Adjustment | Retained Earnings                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Net income                 742.6 192.6      
Stockholders' equity, including portion attributable to noncontrolling interest 84.8       (657.8)       84.8 (657.8)      
Revision of Prior Period, Change in Accounting Principle, Adjustment | Accumulated Other Comprehensive Income (Loss)                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Other comprehensive income (loss), net of tax                 (742.6) (192.6)      
Stockholders' equity, including portion attributable to noncontrolling interest (84.8)       657.8       $ (84.8) $ 657.8      
As Computed Under Previous Policy                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Operating income             $ (11.6)            
Nonoperating retirement benefit income (expense)                     37.2    
Income (loss) before income taxes                     10.6    
Net income (550.1) $ 79.6 $ 79.1 $ 72.2 81.2 $ 64.4 (34.3) $ 35.2     (16.2)    
Net income attributable to ATI $ (553.6) $ 75.7 $ 76.0 $ 70.1 $ 76.9 $ 61.1 $ (38.0) $ 30.9     $ (38.2)    
Basic net income (loss) attributable to ATI per common share (in dollars per share) $ (4.35) $ 0.59 $ 0.59 $ 0.55 $ 0.60 $ 0.47 $ (0.31) $ 0.24     $ (0.30)    
Diluted net income (loss) attributable to ATI per common share (in dollars per share) $ (4.35) $ 0.52 $ 0.52 $ 0.48 $ 0.53 $ 0.42 $ (0.31) $ 0.23     $ (0.30)    
Amortization of net actuarial loss                     $ 89.5    
Net loss arising during the period                     155.9    
Total                     237.2    
Other comprehensive income (loss), net of tax                     236.7    
Retained loss                     72.7    
Accumulated other comprehensive loss, net of tax                     (991.7)    
Retirement benefits                     (39.1)    
As Computed Under Previous Policy | Retained Earnings                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Net income                     (38.2)    
Stockholders' equity, including portion attributable to noncontrolling interest                     72.7    
As Computed Under Previous Policy | Retained Earnings | Change in Accounting Principle, Other                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Stockholders' equity, including portion attributable to noncontrolling interest                       0.0  
As Computed Under Previous Policy | Accumulated Other Comprehensive Income (Loss)                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Other comprehensive income (loss), net of tax                     231.9    
Stockholders' equity, including portion attributable to noncontrolling interest                     (991.7)    
As Computed Under Previous Policy | Accumulated Other Comprehensive Income (Loss) | Change in Accounting Principle, Other                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Stockholders' equity, including portion attributable to noncontrolling interest                       0.0  
Effect of Accounting Change                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Operating income             $ 28.8            
Nonoperating retirement benefit income (expense)                     222.8    
Income (loss) before income taxes                     222.8    
Net income $ 699.3 $ 14.5 $ 14.4 $ 14.4 $ 116.1 $ 15.8 44.7 $ 16.0     222.8    
Net income attributable to ATI $ 699.3 $ 14.5 $ 14.4 $ 14.4 $ 116.1 $ 15.8 $ 44.7 $ 16.0     $ 222.8    
Basic net income (loss) attributable to ATI per common share (in dollars per share) $ 5.50 $ 0.11 $ 0.11 $ 0.11 $ 0.89 $ 0.12 $ 0.36 $ 0.13     $ 1.75    
Diluted net income (loss) attributable to ATI per common share (in dollars per share) $ 5.34 $ 0.10 $ 0.10 $ 0.10 $ 0.77 $ 0.11 $ 0.36 $ 0.10     $ 1.62    
Amortization of net actuarial loss                     $ (75.6)    
Net loss arising during the period                     (147.2)    
Total                     (222.8)    
Other comprehensive income (loss), net of tax                     (222.8)    
Retained loss                     (850.4) 1,070.0  
Accumulated other comprehensive loss, net of tax                     850.4    
Retirement benefits                     (222.8)    
Effect of Accounting Change | Retained Earnings                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Net income                     222.8    
Stockholders' equity, including portion attributable to noncontrolling interest                     (850.4)    
Effect of Accounting Change | Retained Earnings | Change in Accounting Principle, Other                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Stockholders' equity, including portion attributable to noncontrolling interest                       (1,073.2)  
Effect of Accounting Change | Accumulated Other Comprehensive Income (Loss)                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Other comprehensive income (loss), net of tax                     (222.8)    
Stockholders' equity, including portion attributable to noncontrolling interest                     $ 850.4    
Effect of Accounting Change | Accumulated Other Comprehensive Income (Loss) | Change in Accounting Principle, Other                          
New Accounting Pronouncements or Change in Accounting Principle [Line Items]                          
Stockholders' equity, including portion attributable to noncontrolling interest                       $ 1,073.2