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Inventories (Tables) | 12 Months Ended
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Dec. 31, 2021
Inventories |
Schedule of inventories | ​
​ | ​ | ​ | ​ | ​ | ​
​ | December 31, | ​ | December 31,
​ | 2021 |  | 2020
​ | (in millions)
LIFO inventories - cost on FIFO method | $ | 2,498.2 | ​ | $ | 1,226.0
Cost on FIFO method higher than LIFO value | ​ | (820.4) | ​ | ​ | (115.6)
Inventories - stated on LIFO method | ​ | 1,677.8 | ​ | ​ | 1,110.4
Inventories - stated on FIFO method | ​ | 387.2 | ​ | ​ | 310.0
​ | $ | 2,065.0 | ​ | $ | 1,420.4
Schedule of changes in the LIFO valuation reserve | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ | Year Ended December 31,
​ | 2021 | ​ | 2020 | ​ | 2019
​ | (in millions)
LIFO inventory valuation reserve expense (income) | $ | 704.8 | ​ | $ | (22.0) | ​ | $ | (156.0)
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​

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