Article — Days to Months Converter
Days to months: convert with the average-month divisor
To convert days into months, divide by 30.4375. That number is the average length of a calendar month — 365.25 days spread across 12 months. A "1 month" period is not a fixed thing in the Gregorian calendar; the months range from 28 to 31 days. The average is the only divisor that gives consistent answers.
The calculator above does the math in either direction. The text below covers where 30.4375 comes from, why pregnancy is "9 months" in Western reckoning but "10 months" in Japanese tradition, and why a "90-day" contract clause is not the same as a "3-month" one.
The divisor: 30.4375
30.4375 is 365.25 divided by 12. The 365.25 accounts for leap years: three regular years of 365 days plus one leap year of 366 days, averaged out (1461 / 4 = 365.25). Divide that across 12 months and you get the average calendar month: 30 days, 10 hours, 30 minutes.
This is the Julian-year value. The Gregorian calendar (in use since 1582) tightens leap years slightly — century years are leap only if divisible by 400. The Gregorian year is 365.2425 days, or 30.4369 days per month on average. The difference between Julian and Gregorian works out to about 1 second per year. For any conversion outside professional astronomy, 30.4375 is exact enough.
The decimal 30.4375 corresponds to 30 days, 10 hours, 30 minutes. NASA's Goddard Space Flight Center uses the same value in its calendar-calculation reference for converting day counts to month estimates in mission planning. Mars day-counts use a different divisor — a Martian "month" doesn't exist in any formal sense, so most space agencies report Mars time in sols (Martian solar days) instead.
Why months are unequal lengths
The 28-to-31-day variation is a fossil of Roman calendar politics. Before Julius Caesar's reform in 45 BC, the Roman year was a chaotic 355-day affair, with priests inserting extra days when it suited them politically. Caesar fixed it by adopting the Egyptian solar year of 365.25 days and dividing it into 12 months.
His scheme alternated 30- and 31-day months, with February as the short one (29 or 30 days). After his death the month Quintilis was renamed July in his honour. When Augustus later took the throne, the month Sextilis was renamed August — and tradition has it that he extended August to 31 days to match July, stealing a day from February. Modern scholars suspect August already had 31 days, but the result is the calendar we still use: 11 months of 30 or 31 days, plus a stunted February.
Common day-to-month conversions
The values people search for most, computed at the 30.4375 divisor:
- 30 days = 0.99 months (basically 1 month)
- 60 days = 1.97 months (just under 2)
- 90 days = 2.96 months (a quarter, almost exactly 3)
- 120 days = 3.94 months (just under 4)
- 180 days = 5.91 months (just under half a year)
- 280 days = 9.20 months (full-term pregnancy)
- 365 days = 11.99 months (one calendar year)
- 730 days = 23.98 months (two years)
- 1095 days = 35.97 months (three years)
Pregnancy: 9 months or 10?
A full-term human pregnancy lasts 280 days from the last menstrual period. At 30.4375 days per month, that is 9.20 months — close to "9 months" but not exact. The medical convention is to count in weeks (40 of them), which is why pregnancy apps and obstetric records use week numbers.
In Japanese and traditional Chinese reckoning, pregnancy is "10 months." The discrepancy is the unit. East Asian tradition counts lunar months of 28 days. 280 days divided by 28 is exactly 10. The Japanese expression tōtsuki tōka (十月十日, "ten months and ten days") is the classical phrasing for a pregnancy. Both numbers — 9 Western months and 10 lunar months — describe the same biological period.
Legal "90 days" vs. "3 months"
Contracts treat day-counts and month-counts as different things. A "90-day" deadline means exactly 90 calendar days from the start date. A "3-month" deadline means the same date number three months later — which can be 89 to 92 days depending on which months are involved.
Start on January 1 and the "3-month" deadline is April 1 — exactly 90 days in a normal year, 91 in a leap year. Start on December 1 and the "3-month" deadline is March 1 — 90 days (or 91 in a leap year). Start on August 1 and the deadline is November 1 — 92 days. The gap between "90 days" and "3 months" can be two days, and in legal proceedings two days matters.
"Within 90 days" and "within 3 months" are different terms in most legal systems. Court filing deadlines, return windows, insurance claim periods and visa overstay penalties all count days, not months. If a contract says "30 days" it means 30, even when the calendar month involved is 28 or 31 days long.
Prison sentences and prescription supplies
The US federal Bureau of Prisons uses a fixed 30-day month and 365-day year for sentence calculation. An "18-month" sentence is exactly 540 days. Good-conduct credits subtract up to 54 days per year served, so the effective sentence is around 85% of the imposed term.
Pharmacy supply windows use the same fixed-30 convention. A "90-day supply" is 90 calendar days of medication, not three calendar months. Mail-order pharmacies typically allow refills at 75% of the supply window — 67 days into a 90-day prescription, not the 1st of the third month.
Calendar average 30.4375 days/monthFederal sentencing (US) 30 days/month, 365/yr30/360 bonds 30 days/month, 360/yrLunar (East Asian) 28 days/monthPregnancy (medical) 7 days/week, 40 weeksMental math shortcuts
Divide by 30 for a quick estimate. 90 ÷ 30 = 3. The real value is 2.957 — the 30-divisor overstates by 1.5%. Good enough for everyday conversation.
Use 30.4 for more precision. 180 ÷ 30.4 = 5.92 months (true: 5.9136). Three significant figures, no calculator.
Going the other way: months × 30 ≈ days, then add 1.5%. 6 months × 30 = 180, true value 182.6. Or multiply months × 30.4 for closer-to-exact: 6 × 30.4 = 182.4.
For pregnancy week-counting: 4 weeks ≈ 1 month, so 40 weeks ≈ 10 lunar months ≈ 9 calendar months. The shorthand "X weeks pregnant" is unambiguous; the shorthand "X months pregnant" is not — always ask what divisor the speaker has in mind.
Common mistakes
Assuming 30 days = 1 month. 30 days is actually 0.985 months on the average-month divisor. The error is small (1.5%) but compounds for long periods. A "12-month" period is 365.25 days, not 360.
Confusing business days with calendar days. "90 business days" is roughly 126 calendar days (90 / 5 × 7), or 4.14 average months. Federal regulations often specify "business days" explicitly for filing deadlines.
Ignoring leap years. Year-long contracts in 2024 (a leap year) covered 366 days; in 2025 they cover 365. Subscription billing periods that pro-rate by day get this right; periods that pro-rate by month treat the two years as identical.
Mixing month conventions in finance. The 30/360 day-count (used for many US bonds) treats every month as 30 days and the year as 360 days. Interest calculations using this convention give slightly different results from actual/365 (used for most consumer loans). Always check which day-count the contract specifies.