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Every twenty-year period that begins after the 28th of February 1900 and before the 29th of February 2080 includes five leap year days. Each calendar date advances one weekday for every year plus an additional weekday for every leap year day, because every regular year consists of 52 weeks plus one day, and every leap year consists of 52 weeks plus two days. So for every date during the period specified in the first sentence, the weekday twenty years later will be the 25th weekday after the original date (20 for the number of years plus 5 for the number of leap year days equals 25).

For every Saturday after the 29th of February 2080 and before the 1st of March 2100, the weekday twenty years later is Tuesday, because every twenty-year period that begins between those dates includes four leap year days (2100 is not a leap year).

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Q: Why does a given calendar date which fell on a Saturday always fall on a Wednesday twenty years later?
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