A one-rep max (1RM) is the heaviest load you can lift once with good form, and most training programmes are written as percentages of it — but testing a true max is tiring and, for beginners, risky. The two classic estimators infer it from a submaximal set instead. Epley's formula, 1RM = w × (1 + reps/30), grows linearly: every extra rep adds a thirtieth of the weight lifted. Brzycki's formula, 1RM = w × 36/(37 − reps), curves upward instead, which is why the two agree closely on moderate sets — both give 106.67 from an 80 kg set of 10 — and drift apart at the extremes. This page shows both plus their average, so the spread between them is visible rather than hidden.
Accuracy is a property of the set you feed in. Both formulas were fitted on sets in roughly the 2–10 rep range; below that they are nearly exact, and above 10 reps muscular endurance starts to dominate and both estimates inflate — Brzycki faster than Epley, as the 100 kg × 12 comparison (Epley 140.0, Brzycki 144.0) shows. Brzycki is undefined at 37 reps, where its denominator reaches zero, and this calculator says so rather than printing a nonsense number.
The percentage table turns the estimate into working weights: 100% down to 50% of the chosen 1RM in 5% steps, each row paired with the reps that load typically allows — 1 at 100%, around 5–6 at 85%, around 25–30 at 50%. Those rep guidelines are the standard published pairing, a planning aid rather than a guarantee, since they vary by lift and lifter. An estimate is not an attempt: never load a bar to a predicted max without a warm-up progression and a spotter for free-weight lifts.