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Does anyone know what the consumption number refers to? Daily? Weekly? Yearly?
Yearly. See the tooltips in table headers.
Annual consumption, it declares so when you hover over it.
Germany: stored 239.64, consumption per year 905.30 ⇒ 239×12/903 ≃ 3.17 months

Spain: stored 32.99, consumption per year 338.99 ⇒ 32×12/338 ≃ 1.17 months

However, the “Stock/Cons” column, annotated with “Filling level compared to annual consumption”, shows this:

Germany: 26.47 ⇒ 26.47×12 ≃ 317.64 months

Spain: 9.73 ⇒ 9.73×12 ≃ 116.76 months

What did I misunderstand?

Stock/Cons is in percent, if you divide your 317 months by 100 you get the expected result.
Ah, thanks! I thought it was a ratio. I should have noticed the % symbol in the column header.