The program calls for 80% of 1RM on squats but the client hasn't done a max test. They completed 8 reps at 100 kg last session. You need estimated 1RM and a full percentage table before next week's sets are written.
Epley: W × (1 + R/30)
Brzycki: W ÷ (1.0278 − 0.0278 × R)
Training zones: 90–100% 1RM = max strength · 75–85% = hypertrophy · 60–75% = strength-enduranceMost accurate at 3–8 reps. Accuracy drops significantly above 10 reps.
1 What this calculator does
Estimates one rep maximum (1RM) from a submaximal lift -- weight and reps performed. Uses four validated formulas (Epley, Brzycki, Lander, Lombardi) and outputs a full percentage table from 50% to 100% of estimated 1RM.
2 Formula & professional reasoning
Epley (1985): 1RM = Weight x (1 + Reps/30)
Brzycki (1993): 1RM = Weight / (1.0278 - 0.0278 x Reps)
Lander (1985): 1RM = (100 x Weight) / (101.3 - 2.67123 x Reps)
Lombardi (1989): 1RM = Weight x Reps^0.10
Most accurate range: 3-8 reps
1RM estimation formulas allow training percentage calculations without the injury risk of frequent max testing. All formulas become less accurate above 10 reps because high-rep sets are influenced by muscular endurance more than pure strength. Brzycki is often most accurate for 1-10 reps; Epley performs better across a broader range. Using multiple formulas and taking the average improves accuracy.
3 Worked examples
⚠️ Illustrative example only — not clinical or professional instruction.
1RM = 120 x (1 + 5/30) = 120 x 1.1671RM = 100 / (1.0278 - 0.0278 x 8) = 100 / 0.8054Epley: 90 x (1+6/30) = 108 | Brzycki: 90/(1.0278-0.1668) = 104.5 | Lander: (100x90)/(101.3-16.03) = 105.5 | Average: ~1064 Sanity check
5 Common errors
| Error | Cause | Consequence | Fix |
|---|---|---|---|
| Using a high-rep set (15+ reps) for 1RM estimation | No low-rep lift available to use | 1RM estimate unreliable -- may be off by 15-25% | For accurate 1RM estimation use a set of 3-8 reps performed to near failure (1-2 reps in reserve). Sets of 3-5 reps are the most accurate. |
| Programming exact 1RM percentages without safety margin | Treating estimated 1RM as exact | Inability to complete programmed sets, missed reps, possible injury | Round estimated 1RM down by 5% for initial programming. Test a true 1RM properly every 6-8 weeks. |
| Using same estimated 1RM for all exercises | Assuming formula accuracy is consistent across movements | 1RM accuracy varies by exercise | Calculate 1RM separately for each major lift. Lombardi tends to perform better for isolation exercises; Brzycki for compound lifts. |
| Using a fatigued set for the estimation | Performing estimation set late in the workout | Underestimation of true 1RM | Perform the estimation set early in the workout after a thorough warm-up. A fatigued set will underestimate the 1RM. |
6 Reference & regulatory links
7 Professional workflow
Common tools used alongside this one: