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260 days is arrived at by multiplying a five-day working week by 52 weeks, this can be used to calculate the number of working days in a year. This figure can then be used to calculate daily (and then hourly) rates of pay and entitlements for employees. For weekly paid employees this division of the year in this way will match pay periods.
It is important to note that there are not a whole number of weeks in a year; an alternative is to use 261-day accounting which uses 52.2 weeks per year (365 days in a year / 7 days in a week).