Body Recomposition Formula
Recomposition is fat loss and muscle gain in the same period. It's slower than dedicated cuts or bulks but possible when calories are at maintenance ± 10%, protein is high, and resistance training is consistent.
Formula
Copy the exact expression or work through it step by step below.
target_scale_weight = lean_mass / (1 − target_body_fat_fraction)
weekly_fat_loss = (current_weight − target_weight) / weeks_available
daily_deficit_required = weekly_fat_loss × 7,700 / 7 Variables
lean_mass
Lean body mass
Kilograms of fat-free mass. From a Boer estimate, DXA, or LBM = mass × (1 − BF%/100). Recomp assumes lean mass holds or grows.
target_body_fat_fraction
Target body-fat fraction
Decimal. 0.15 = 15%. Realistic 12-week targets typically drop body fat by 3–6 percentage points.
weeks
Timeline
Honest planning horizon. Recomposition pace is slow: 0.25–0.5 kg fat loss per week with retained lean mass.
daily_deficit_required
Required daily deficit
Calories below maintenance. Recomp deficits live at the conservative end (10–15% below TDEE) to protect lean mass.
Step By Step
- 1
Estimate current lean body mass via Boer, DXA, or known body-fat percentage.
Weight 84 kg, body fat 24% → LBM = 84 × 0.76 = 63.84 kg.
- 2
Compute target scale weight that holds lean mass constant.
Target 18% body fat: target weight = 63.84 / (1 − 0.18) = 63.84 / 0.82 = 77.85 kg.
- 3
Pick an honest timeline. Recomp pace: 0.25–0.5 kg per week.
Drop 6.15 kg fat at 0.5 kg/week = 12.3 weeks. Round to 14 weeks for margin.
- 4
Compute the daily deficit needed.
0.5 kg × 7,700 / 7 = 550 cal/day deficit. Anchor protein at 2.2 g/kg LBM, hold resistance training 3–4×/week.
Worked Example
84 kg, 24% body fat, target 18%, 14 weeks
Current weight (kg)
84
Body fat (%)
24
Target body fat (%)
18
Weeks
14
LBM = 63.84. Target weight = 63.84 / 0.82 = 77.85 kg. Fat to lose = 6.15 kg. Weekly = 0.44 kg. Daily deficit ≈ 483 cal.
Target ~78 kg in 14 weeks at a 483 cal/day deficit. Protein floor 140 g/day, 3–4 resistance sessions/week, weight weekly average tracking.
Common Variations
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Sources & References
- Barakat C et al. Body recomposition: can trained individuals build muscle and lose fat at the same time? — Strength and Conditioning Journal (2020)
- Helms ER et al. Recommendations for natural bodybuilding contest preparation — Journal of the International Society of Sports Nutrition