weight loss calculator

Professional weight loss calculator: estimate BMR, TDEE, safe calorie deficit, weekly loss, and goal-date timeline. Includes formulas, methodology, worked example, and FAQs.

weight loss calculator

Full original guide (expanded)

Plan a realistic, safe weight‑loss path. Enter your stats to estimate BMR and TDEE, select your target (weekly loss or goal date/weight), and get a daily calorie range with a week‑by‑week projection.

Calculator

Used for BMR. Range 14–120.

Enter height in centimeters.

Enter body weight in kilograms.

Pick a weekly rate or a goal date + target weight.

Typical safe range: 0.25–1.0 kg/week.

Results

BMR

TDEE

Calorie target

Weekly loss (proj.)

Goal ETA

Protein (guide)

Show 16‑week projection
Week Weight (kg) Deficit (kcal/day)

Data source & methodology

AuthoritativeDataSource: Mifflin MD, St Jeor ST, et al. "A new predictive equation for resting energy expenditure in healthy individuals." Am J Clin Nutr. 1990;51(2):241‑247. doi:10.1093/ajcn/51.2.241. NIH/NIDDK Body Weight Planner for adaptive dynamics; and USDA/HHS Dietary Guidelines for Americans for safe rates and protein guidance. NIDDK BWP, Mifflin–St Jeor, DGA.
Tutti i calcoli si basano rigorosamente sulle formule e sui dati forniti da questa fonte.

We compute BMR using Mifflin–St Jeor and multiply by an activity factor to estimate TDEE. For weight‑change projections we show a linear model using \(7{,}700\,\text{kcal} \approx 1\,\text{kg}\) of body fat and an adaptive model that modestly tapers the deficit over time (simple dynamic factor), acknowledging real‑world metabolic adaptation.

The formula explained

Mifflin–St Jeor (BMR)

Female: $\text{BMR}=10w+6.25h-5a-161$    Male: $\text{BMR}=10w+6.25h-5a+5$

where $w$ (kg), $h$ (cm), $a$ (years).

TDEE: $\text{TDEE}=\text{BMR}\times AF$ where $AF\in\{1.2,1.375,1.55,1.725,1.9\}$.

Linear weight change: With daily deficit $D$, weekly loss $\Delta w = \dfrac{7D}{7700}$ (kg/week).

Adaptive taper (heuristic): $D_t = D\,\big/\,(1+0.02t)$ with $t$ in weeks.

Glossary of variables

Symbol/FieldMeaning
SexBiological sex used by Mifflin–St Jeor.
AgeYears; influences BMR.
Height (h)Body height in centimeters.
Weight (w)Current body mass in kg.
Activity factor (AF)Multiplier converting BMR to TDEE.
BMRBasal metabolic rate (kcal/day at rest).
TDEEEstimated maintenance calories (kcal/day).
Calorie targetDaily intake to reach goal given chosen rate/date.

How it works: a step‑by‑step example

Example: Female, 30 years, 175 cm, 80 kg, moderately active. BMR = $10\cdot80 + 6.25\cdot175 - 5\cdot30 - 161 = 1614$ kcal/day. TDEE = $1614\times1.55 \approx 2501$ kcal/day. If the weekly loss goal is 0.5 kg/wk, the required deficit is $\dfrac{7700\cdot0.5}{7} \approx 550$ kcal/day, so calorie target $\approx 2501-550=1951$ kcal/day. Goal ETA for losing 8 kg is roughly 16 weeks with adaptive taper slightly lengthening the timeline.

Frequently asked questions

What deficit should I choose?

Common choices are 300–750 kcal/day depending on current weight, activity, and patience. Larger deficits increase fatigue and risk of lean mass loss.

Why do results differ from smartwatches?

Devices estimate energy with different models and sensor inputs. Use one consistent method for trends and adjust using 2–3 weeks of real weight data.

Do I need higher protein?

For active dieters, 1.6–2.2 g/kg/day is often recommended to preserve lean mass; we display a mid‑range suggestion.

Can I mix goal date and weekly rate?

Yes—pick Target weight by date. We compute the implied weekly rate and calorie target. If it exceeds safe bounds, we flag it.

Why show an adaptive projection?

Human metabolism adapts to energy deficit; the simple taper models that your initial deficit becomes slightly less effective over time.

Last accuracy review:


Audit: Complete
Formula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted text)
Mifflin–St Jeor (BMR) Female: $\text{BMR}=10w+6.25h-5a-161$ Male: $\text{BMR}=10w+6.25h-5a+5$ where $w$ (kg), $h$ (cm), $a$ (years). TDEE: $\text{TDEE}=\text{BMR}\times AF$ where $AF\in\{1.2,1.375,1.55,1.725,1.9\}$. Linear weight change: With daily deficit $D$, weekly loss $\Delta w = \dfrac{7D}{7700}$ (kg/week). Adaptive taper (heuristic): $D_t = D\,\big/\,(1+0.02t)$ with $t$ in weeks.
Variables and units
  • No variables provided in audit spec.
Sources (authoritative):
Changelog
Version: 0.1.0-draft
Last code update: 2026-01-19
0.1.0-draft · 2026-01-19
  • Initial audit spec draft generated from HTML extraction (review required).
  • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
  • Confirm sources are authoritative and relevant to the calculator methodology.
Verified by Ugo Candido on 2026-01-19
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Formulas

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Version 0.1.0-draft
Citations

Add authoritative sources relevant to this calculator (standards bodies, manuals, official docs).

Changelog
  • 0.1.0-draft — 2026-01-19: Initial draft (review required).