Weekly 53 pays in a year; or Fortnightly 27 pays in a year

Weekly 53 pays; or Fortnightly 27 pays per year

In most years there are 52 weekly pays, or 26 fortnightly pays.

However, in some years there are one additional payday (the years vary depending on which day is your payday).

Explanation:

The calendar cycle repeats every 28 years (hat dip to the U.S. Govt Accounting Office for that one).

During the cycle there are 7 leap years.

You can work out how many weeks (or fortnights) there are in total.

Divide the result by 28 – the years in the calendar cycle.

The results accumulate until there is an extra payday; the results fit within a possible range.

The one extra payday occurs within the range specified.

Days – Fortnightly Pay

366        365                               Total             Paydays
7                21         Days             Fortnights    per year
2,562    7,665    10,227.0         730.5            26.0893

Excess per year 0.0893, which accumulates.

11 Years = 0.9823 paydays

12 Years = 1.0716 paydays

So, fortnightly paid staff have one additional payday every 11 or 12 years. The long term average (for 10 x 28 year cycles) is 11.2 paydays.

Days – Weekly Pay

366        365                              Total            Paydates
7                21      Days               Weeks         per year
2,562   7,665   10,227.0          1461.0         52.1786

Excess per year = 0.1786, which accumulates

5 Years = 0.893 paydays

6 Years  = 1.072 paydays

Since there are five ocassions this occurs every 28 years the average occurence is every 5.6 years.  Three occasions occur when the payday (eg Wednesday) is the same day as the first and last days of the year (ie both Wednesdays).  Two occasons occur due to the impact of leap years when the last day of the year is the day after the regular payday (ie Thursday for a regular Wednesday payday).

So, weekly paid staff have one additional payday every five or six years. It follows a pattern of: 5-6-5-6-6 years that repeats in the 28 year cycle (but starts differently depending on where you begin counting).

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