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Recurring Rate per Year, Day, Hour & Second

Convert an average count or signed quantity per time unit between years, months, weeks, days, hours, minutes and seconds.

  • Formula & worked example
  • Private in your browser
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Calculator inputs

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How to use this calculator

  1. Enter the known values in the units shown. Results update as you type.
  2. Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
  3. Use the worked example to check the method. Reset restores the starting fields.

Private by default

Inputs and results stay in this browser tab. Bookify does not upload or store the values you enter.

Formula and method

An average rate of one event per day is seven per week, 30.4375 per modeled month and 365.25 per modeled year. The month and year are fixed-duration units.

Converted rate = original rate × seconds in target time unit ÷ seconds in original time unit

Worked example

Enter these known values and leave the other values blank.

Rate comparison 4
1 / days
Rate comparison 1
365.25 / yrs
Rate comparison 2
30.4375 / mos
Rate comparison 3
7 / wks
Rate comparison 5
0.0416667 / hrs
Rate comparison 6
0.000694444 / min
Rate comparison 7
0.00001157407 / sec

Assumptions and limitations

  • The optional year is a fixed 365.25 days, and a month is one twelfth of that year: 30.4375 days. These units do not count calendar months, leap days or clock changes.
  • Each field is a quantity per the selected time unit, not a duration between individual events. The default columns start with years through seconds; changing a selector changes that comparison scale.
  • Rates are assumed constant on average. Fractional event counts represent averages, not a promise of a partial event or a particular event schedule.
  • Zero is supported. Signed values can represent a net flow; use nonnegative values when describing a physical event frequency.

Common questions

Why does a rate get larger when converted from per day to per year?

The longer denominator interval contains more days. At one per day, a fixed 365.25-day year contains an average 365.25 events.

Can this generate dates for recurring events?

No. It converts an average rate using fixed time units. Scheduling a particular day of each calendar month requires calendar rules.

References

The calculation equations, inverse formulas, units, and input rules were imported from this source. Bookify provides the interface and equation solver.

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