Your 1-rep max (1RM) is the maximum weight you can lift for a single repetition with correct form. Knowing it lets you set training weights as a percentage of your maximum — a method used in strength and power programming. This estimator uses two published prediction formulas (Epley 1985 and Brzycki 1993) to derive an estimate from a submaximal set you've already done.
The formulas
Epley (1985):
1RM = weight × (1 + reps / 30)
Brzycki (1993):
1RM = weight × (36 / (37 − reps))
Where weight is the load you lifted and reps is the number of repetitions completed. Both formulas are most accurate at 1–6 reps and become progressively less reliable above 10 reps.
Practical examples
Example 1 — Estimating from a 5-rep set: You bench pressed 185 lbs for 5 reps.
- Epley: 185 × (1 + 5/30) = 185 × 1.167 = 215.8 lbs
- Brzycki: 185 × (36 / 32) = 185 × 1.125 = 208.1 lbs A reasonable working estimate is 208–216 lbs.
Example 2 — Programming from the estimate: With an estimated 1RM of 215 lbs, 80% = 172 lbs (a typical hypertrophy load for 6–10 reps).
Example 3 — Using kilograms: You squatted 100 kg for 3 reps.
- Epley: 100 × (1 + 3/30) = 100 × 1.1 = 110 kg
- Brzycki: 100 × (36 / 34) = 100 × 1.059 = 105.9 kg
Common mistakes
Testing above 10 reps and trusting the result. Both formulas are derived from data at low rep ranges. At 12–15 reps, the estimates diverge more from true 1RM because muscular endurance becomes a larger factor than maximal strength.
Treating the estimate as a guaranteed maximum. The formulas give a statistical average, not a personal guarantee. Individual variation in fiber type, fatigue, technique, and rest time all affect where your actual 1RM falls.
Using bodyweight-dependent exercises. Push-ups, pull-ups, and dips involve your bodyweight. These formulas are designed for barbell or machine lifts where the load is fixed and measurable.
Testing every session. You do not need to know your 1RM precisely to train. Many strength programs use training percentages based on a training max — typically 90% of an estimated 1RM — to keep intensity manageable and technique safe.
International and regional variations
| Formula | Origin | Notes |
|---|---|---|
| Epley (1985) | University of Nebraska, USA | Widely used; slightly overestimates at higher rep ranges |
| Brzycki (1993) | Princeton University, USA | More conservative; mathematically undefined above 36 reps |
| Lombardi (1989) | USA | 1RM = weight × reps^0.10; tends to underestimate at low reps |
| O'Conner et al. (1989) | USA | 1RM = weight × (1 + 0.025 × reps); linear, less sensitive |
Quick reference — percentage of 1RM
| % of 1RM | Typical reps | Training goal |
|---|---|---|
| 95–100% | 1 | Maximal strength testing |
| 85–94% | 2–5 | Strength development |
| 75–84% | 6–8 | Strength-hypertrophy overlap |
| 65–74% | 9–12 | Hypertrophy |
| 50–64% | 13–20+ | Muscular endurance |
For a reference covering body fat percentage ranges by sex and measurement method accuracy, see the Body Fat Percentage Reference Chart →.