BAC Calculator
Estimate blood alcohol content from standard drinks, body weight and time using the Widmark formula — an educational estimate, not a substitute for a breath or blood test.
How to use this calculator
- 1Enter your weight and sex — together these set the Widmark distribution ratio.
- 2Enter how many standard drinks you had. One standard US drink is about 14 g of alcohol — see the help text for common examples.
- 3Enter how many hours have passed since your first drink, not your last, then read the estimate alongside its limitations below.
How the calculation works
BAC (%) = [alcohol consumed (g) ÷ (body weight (g) × r)] × 100 − (0.015 × hours)- alcohol consumed
- Standard drinks × 14 g of pure alcohol per drink
- body weight
- In grams
- r
- Widmark distribution ratio: 0.68 for men, 0.55 for women
- hours
- Time elapsed since the first drink
- 0.015
- The average rate the body eliminates alcohol, in %BAC per hour
This is Widmark's equation, published in 1932 and still the basis of most BAC estimation — consumer and forensic alike — in use today.
r approximates the fraction of body weight alcohol distributes into, which is mostly body water. It is why the same amount of alcohol produces a lower estimated BAC in someone heavier, and why the typical constant differs between men and women.
Worked example
80 kg, male, 4 drinks, 2 hours
- 1.4 drinks × 14 g = 56 g of alcohol consumed.
- 2.80 kg × 1,000 = 80,000 g body weight; × r (0.68 for men) = 54,400 g of effective distribution.
- 3.56 ÷ 54,400 × 100 = 0.103% peak BAC, before accounting for elimination.
- 4.Elimination over 2 hours: 0.015 × 2 = 0.030%. 0.103% − 0.030% = 0.073%.
Result: 0.073% BAC, roughly 4.9 hours from zero
What blood alcohol content actually measures
Blood alcohol content (BAC) is the concentration of alcohol in a person’s bloodstream, expressed as a percentage — a BAC of 0.08%, for example, means roughly 0.08 grams of alcohol per 100 millilitres of blood. It is the standard, widely recognised way of describing how much alcohol is currently circulating in someone’s body, rather than how much they drank, because the same amount of alcohol produces very different concentrations depending on body size, sex, and how much time has passed.
A true BAC can only be established directly, with a calibrated breath, blood or urine test administered under controlled conditions. Everything a formula like the one behind this calculator produces is a population-average estimate, built from body chemistry that varies meaningfully from person to person — a distinction worth stating plainly, because it materially changes how the resulting number should be read.
How the Widmark formula estimates it
This calculator uses Widmark’s formula, developed by the Swedish physician and forensic scientist Erik Widmark and published in 1932, which remains the conceptual basis for most BAC estimation used today, from consumer calculators to forensic reconstruction. It treats the body as if alcohol distributes evenly through a single fluid compartment: grams of alcohol consumed, divided by body weight scaled by a distribution ratio that approximates how much of that weight behaves like the water alcohol actually dissolves into.
- Alcohol consumed — estimated from standard drinks, where one standard US drink is defined as about 14 grams of pure alcohol, regardless of whether it came from beer, wine or spirits.
- Body weight — a heavier body has more fluid for the same amount of alcohol to distribute into, which is why the same number of drinks produces a lower estimated BAC in a larger person.
- Distribution ratio (r) — a constant approximating the fraction of body weight that behaves like the fluid compartment alcohol spreads through, set differently for men and women because average body composition differs between the two.
- Elimination rate — the body metabolises alcohol at a roughly constant rate over time rather than in proportion to how much is present, so the formula simply subtracts a fixed percentage per hour once drinking stops.
Why an estimate is not a measurement
Widmark’s own published analysis of the formula’s accuracy put individual variation at roughly ±20%, even when every input — weight, sex, drinks and time — is entered correctly. That uncertainty exists because the formula only has room for a handful of variables, while a real BAC is also shaped by factors it cannot see at all: how much food was in the stomach, how quickly the drinks were consumed, real differences in liver enzyme activity, medication interactions, and individual body composition that a single sex-based ratio only roughly approximates.
The formula also assumes all the alcohol consumed has already finished absorbing into the bloodstream, when in reality that process typically takes somewhere around thirty to ninety minutes after a drink. In the window right after drinking, a real BAC can still be rising even while a formula that assumes absorption is complete would suggest it is already falling.
What BAC estimation is used for
Outside of casual curiosity, BAC estimation of this kind is used in alcohol education and as a teaching tool for understanding how weight, sex, drink count and time interact — not as a substitute for a real reading in any situation where the actual number matters. Forensic toxicologists who apply Widmark-style reasoning professionally do so with far more case-specific data, tighter error bounds, and an explicit acknowledgement of the same underlying uncertainty this calculator states plainly.
The single number this or any BAC formula produces is best understood as a rough, educational midpoint of a real range that only a calibrated instrument can narrow down — never as a precise reading of what is actually happening in a specific person’s bloodstream at a specific moment.
What this assumes, and where it stops
Assumptions
- Alcohol is assumed fully absorbed already — the model does not separately account for the roughly 30–90 minute absorption window right after drinking, when a real BAC is still rising.
- One standard drink is treated as exactly 14 g of pure alcohol, the US definition. Drinks poured stronger, weaker, or measured under a different national standard will contain more or less.
Limitations
- Widmark's own published uncertainty analysis puts individual error at roughly ±20%, two standard deviations, even when every input is accurate.
- This is not breath or blood test evidence and must never be used to decide whether it is safe or legal to drive, operate machinery, or that you have "sobered up."
- Legal limits vary by jurisdiction and circumstance. Commercial drivers, drivers under 21, and many countries outside the US all use lower limits than the 0.08% shown for reference, and some use zero tolerance.
- Not valid for estimating a BAC used in a legal, medical or insurance proceeding — those require an actual measurement, not a population-average formula.
Common questions
Is this accurate enough to know if I can drive?
No. It is a population-average estimate with roughly ±20% error even under ideal conditions, and it cannot see your absorption rate, food intake, medications or liver function. The only way to know an actual BAC is a calibrated breath or blood test — treat this as an educational estimate only.
Why does sex affect the result?
The Widmark r constant approximates the fraction of body weight alcohol distributes into, which is mostly water. Men average a higher proportion of body water than women at the same weight, so the same alcohol intake produces a somewhat lower estimate using the male constant. Individual body composition varies this more than sex alone does.
What counts as one standard drink?
In the US, about 14 grams of pure alcohol: a 12 oz beer at 5% ABV, a 5 oz glass of wine at 12% ABV, or a 1.5 oz shot of 40%-ABV spirits. A pint of strong craft beer or a generously poured cocktail is often two standard drinks or more.
Sources
- Widmark's Equation — Washington State Patrol Breath Test Program
- What Is A Standard Drink? — National Institute on Alcohol Abuse and Alcoholism (NIH)
Formula and content last reviewed on .
Results are estimates for information only, not professional advice.
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