1RM (One Rep Max) — the maximum weight you could lift for a single rep. Estimated from a submaximal set to avoid the risk of testing your actual 1RM.
Training Percentages
| % of 1RM | Reps | Goal | kg |
|---|---|---|---|
| 95% | 2-3 | Max strength | 95.3 kg |
| 90% | 3-4 | Max strength | 90.3 kg |
| 85% | 5-6 | Strength | 85.3 kg |
| 80% | 7-8 | Heavy hypertrophy | 80.2 kg |
| 75% | 8-10 | Hypertrophy | 75.2 kg |
| 70% | 10-12 | Hypertrophy | 70.2 kg |
| 65% | 12-14 | Endurance | 65.2 kg |
| 60% | 14-16 | Muscular endurance | 60.2 kg |
For informational purposes only. Not a substitute for professional medical advice. Consult a healthcare provider before making health decisions.
1RM Calculator — Epley & Brzycki 1RM Estimator with Training Percentages
Enter the weight you lifted and the number of reps you completed to estimate your one-rep max (1RM). The page calculates two values: Epley (1985) — 1RM = W × (1 + reps/30), assuming a roughly linear rep-to-percentage relationship and tending to over-estimate at high reps — and Brzycki (1993) — an exponential curve that becomes increasingly steep as reps approach the theoretical 37-rep ceiling. The arithmetic mean of the two is shown alongside as a conservative compromise. A training-percentages table maps the resulting 1RM into rep zones aligned with NSCA strength-and-conditioning guidelines: 85-100% for max-strength work (1-5 reps), 67-85% for hypertrophy (6-12 reps), 50-67% for muscular endurance (12-20 reps), 30-50% for power-and-speed work. Submaximal estimation is preferred to actual 1RM testing for most athletes because true-max attempts have higher injury risk and require a qualified spotter — the literature shows estimation accuracy ±2-3% with 2-5 reps, ±5-8% with 5-10 reps, and >10% error above 10 reps. RPE-based prescription (Zourdos et al. 2016) is an alternative when 1RM testing is contraindicated.
About 1RM
Boyd Epley published the original 1RM estimation chart in 1985 (Poundage Chart, Boyd Epley Workout, Body Enterprises, Lincoln NE) — a linear formula derived empirically from collegiate strength data: 1RM = W × (1 + reps/30). Matt Brzycki's 1993 alternative (Journal of Physical Education, Recreation & Dance, 64(1):88-90) uses an exponential function: 1RM = W × 36 / (37 − reps) — a function that diverges toward infinity as reps approach 37, naturally compressing high-rep estimates. Both formulas have been validated in peer-reviewed studies (Mayhew et al. 1992, Journal of Applied Sport Science Research 6:200-206); accuracy degrades non-linearly with rep count. Training percentages from the NSCA Essentials of Strength Training and Conditioning (Haff & Triplett 2016, 4th ed): max-strength loads 85-100% of 1RM with 1-5 reps and long rest (3-5 min) optimize neural drive and intramuscular coordination. Hypertrophy loads 67-85% with 6-12 reps and moderate rest (1-2 min) maximize mechanical tension and metabolic stress. Endurance loads 50-67% with 12-20 reps and short rest (≤30 s) emphasize muscular stamina. Power loads 30-50% with explosive intent develop rate of force development. For training contexts where actual 1RM testing is contraindicated (rehabilitation, novice lifters, post-injury return-to-play), the Zourdos et al. 2016 RPE-based scale (J Strength Cond Res 30(1):267-275) lets a coach prescribe load by 'reps in reserve' rather than percentage — a 7 RPE means 3 reps in reserve, an 8 RPE means 2, and so on. This is a planning tool — bar-velocity drop, technique breakdown, or pain are all signals to terminate a set regardless of formula prediction.
- Epley (1985) formula: 1RM = W × (1 + reps/30) — linear empirical
- Brzycki (1993) formula: 1RM = W × 36 / (37 − reps) — exponential
- Arithmetic mean shown alongside as conservative compromise
- Training percentages table per NSCA: strength 85-100%, hypertrophy 67-85%, endurance 50-67%, power 30-50%
- Accuracy notes: ±2-3% with 2-5 reps, ±5-8% with 5-10 reps, >10% error above 10 reps
- Metric and imperial weight inputs
- Reactive — recalcs as you change weight or reps
- RPE-based alternative referenced (Zourdos 2016) for rehab / novice / injury contexts
- Pure client-side math — no upload
- Educational tool — bar-velocity drop or technique breakdown override formula prediction
Free. No signup. Your inputs stay in your browser. Ads via Google AdSense (consent required).
Frequently asked questions
Should I actually test my 1RM or just calculate it?
Calculate, except for advanced lifters with experienced spotters. Real 1RM testing involves multiple progressively-heavier attempts to find the maximum load you can lift once with valid technique — the protocol in NSCA Essentials (Haff & Triplett 2016) requires warm-up sets, a qualified spotter, and a staircase of attempts at 90-100-105% of estimated max. The injury risk is real (failed attempts under heavy load), the time cost is substantial, and the value over a Brzycki-or-Epley estimate from a 3-5 rep set is small for most training contexts. Estimation accuracy at ±2-3% with low reps suffices for programming.
Why do Epley and Brzycki give different numbers?
The two formulas come from different empirical fits. Epley (1985) assumed a linear rep-to-percentage relationship: 1RM = W × (1 + reps/30) — over-estimates at high reps (e.g., a 20-rep set predicts 167% of weight as 1RM, often unrealistic). Brzycki (1993) used an exponential function: 1RM = W × 36/(37 − reps), which compresses high-rep estimates and diverges as reps approach 37. The two values converge at low reps (1-5) and diverge at higher reps. Showing both plus the average gives a useful range — neither formula is universally right; the actual relationship varies by exercise and individual.
Why is my real lift different from the formula prediction?
Three reasons. First, the formulas are derived from cohort averages — your individual rep-to-max curve depends on muscle fiber type composition, exercise selection, and training experience. Second, accuracy degrades non-linearly with rep count: ±2-3% with 2-5 reps, ±5-8% with 5-10 reps, >10% above 10 reps per the broad validation literature (Mayhew et al. 1992 reported r=0.98 with SEE ±4.8 kg in college men/women bench press; subsequent studies extend the pattern). Third, the formulas assume the rep-out set was a true mechanical failure with valid technique; if you stopped early or technique broke down, the prediction is off. For best accuracy, base the estimate on a 3-5 rep top set with a coach watching form.
How do I use the training-percentages table?
The percentages map your estimated 1RM to load prescriptions per training goal, following NSCA Essentials guidelines. Max strength: 85-100% of 1RM, 1-5 reps, 3-5 minute rest periods, 3-5 sets — develops neural drive, intramuscular coordination, and tendon stiffness. Hypertrophy: 67-85%, 6-12 reps, 1-2 minute rest, 3-6 sets — maximizes mechanical tension and metabolic stress. Endurance: 50-67%, 12-20 reps, ≤30 second rest, 2-3 sets. Power/speed: 30-50%, 3-5 reps with explosive intent, full rest. Periodization typically rotates between these zones over weeks rather than mixing them within a single session.
Can I use this for any exercise — squat, bench, deadlift, curl?
The formulas were originally validated on the bench press (Mayhew et al. 1992) and have been replicated across squat, deadlift, and other compound lifts with broadly similar accuracy. Isolation movements (bicep curl, lateral raise, leg extension) produce more variable estimates because the muscles fatigue faster, the technique tolerance is narrower, and the relevant rep-to-percentage curve has not been studied as extensively. Best practice: use the calculator confidently for compound barbell lifts; treat estimates for isolation work as rough planning numbers and verify with actual top-set performance.
Sources (5)
- Epley, B. (1985). Poundage Chart (in Boyd Epley Workout) — original 1RM linear estimation: 1RM = W × (1 + reps/30). Body Enterprises, Lincoln, NE.
- Brzycki, M. (1993). Strength Testing — Predicting a One-Rep Max from Reps-to-Fatigue (exponential curve: 1RM = W × 36 / (37 − reps), theoretical ceiling at 37 reps). Journal of Physical Education, Recreation & Dance, 64(1), 88–90.
- Mayhew, J. L., Ball, T. E., Arnold, M. D., & Bowen, J. C. (1992). Relative muscular endurance performance as a predictor of bench press strength in college men and women. Journal of Applied Sport Science Research, 6, 200–206 — empirical validation of rep-to-1RM accuracy degradation with rep count (journal renamed to Journal of Strength and Conditioning Research in 1993).
- Haff, G. G., & Triplett, N. T. (Eds.) (2016). Essentials of Strength Training and Conditioning, 4th edition. National Strength and Conditioning Association (NSCA); Human Kinetics, Champaign, IL — strength testing protocols + training percentages by goal (strength 85-100%, hypertrophy 67-85%, endurance 50-67%, power 30-50%).
- Zourdos, M. C., Klemp, A., Dolan, C., Quiles, J. M., Schau, K. A., Jo, E., Helms, E., Esgro, B., Duncan, S., Garcia Merino, S., & Blanco, R. (2016). Novel Resistance Training-Specific Rating of Perceived Exertion Scale Measuring Repetitions in Reserve. Journal of Strength and Conditioning Research, 30(1), 267–275 — RPE-based load prescription (RIR) as alternative to percentage-based 1RM testing.
These are the original publications the formulas in this tool are based on. Locate them by journal name and year on Google Scholar or PubMed.
By Marco B. ·