How the 1RM is estimated
Your headline number is the average of the two most widely used equations, where w is the weight lifted and r the reps completed:
Epley: 1RM = w × (1 + r ÷ 30) Brzycki: 1RM = w × 36 ÷ (37 − r)
Epley's equation comes from his 1985 coaching charts at the University of Nebraska1; Brzycki published his in 1993.2 The two agree closely around 10 reps; below that, Epley reads slightly higher. The calculator also shows four other published equations for comparison:
| Formula | Equation |
|---|---|
| Epley | w × (1 + r / 30) |
| Brzycki | w × 36 / (37 − r) |
| Lander | 100w / (101.3 − 2.67123r) |
| Lombardi | w × r^0.10 |
| Mayhew | 100w / (52.2 + 41.9e^(−0.055r)) |
| Wathan | 100w / (48.8 + 53.8e^(−0.075r)) |
Accuracy drops as reps rise and differs between lifts, so estimates from more than 10 reps are flagged.3
Adding reps in reserve (RPE)
Reps used = reps completed + (10 − RPE)
The repetitions-in-reserve RPE scale validated by Zourdos and colleagues lets a set stopped short of failure count as the set it would have been.4 Five reps at RPE 8 are treated as seven reps to failure.
Worked example
225 lb for 5 reps on the bench press:
Epley: 225 × (1 + 5 ÷ 30) = 262.5 lb Brzycki: 225 × 36 ÷ 32 = 253.1 lb Estimated 1RM: (262.5 + 253.1) ÷ 2 = 257.8 lb, about 260 lb
| % of 1RM | Load | Max reps |
|---|---|---|
| 100% | 260 lb | 1 |
| 95% | 245 lb | 2 |
| 90% | 230 lb | 3 |
| 85% | 220 lb | 5 |
| 80% | 205 lb | 8 |
| 75% | 195 lb | 10 |
| 70% | 180 lb | 13 |
Loads are rounded to the nearest 5 lb or 2.5 kg so you can load them with standard plates.
Using percentages to plan training
- Strength work usually sits at 80 to 90% for sets of 2 to 5, leaving one or two reps in reserve.
- Muscle-building work works across a wide range; 65 to 80% for sets of 6 to 12 is common and easy to recover from.
- The ACSM recommends progressing load by about 2 to 10% once you can exceed your target reps for one or two sessions.5
Strength and body composition go together: see the protein calculator for the intake that supports muscle gain, and the exercise library for technique on every lift.