Squat 1RM calculator

Calculate the most you can back squat for one rep — from any heavier set you've done.

Your numbers

Unit

Weight lifted
kg
10400
Reps completed
120

Formula

Estimated back squat 1RM
114.8kg
  • Likely range: 112.5 to 117.1 kg.
  • Reliability is HIGH.

Use this number for

  • 103.3 kg— Training max (90%)
  • 97.6 kg— Heavy work, 3–5 reps (85%)
  • 80.4 kg— Volume work, 8–12 reps (70%)
Full % table
Show the math

Per-formula breakdown

Epley

116.7 kg

Brzycki

112.5 kg

Lombardi

117.5 kg

O'Conner

112.5 kg

Reliability HIGH: ≤5 reps. StrengthMath band (~±2%) informed by LeSuer 1997 — the validation study found prediction error stayed low at the ≤5 rep range; the specific ±2% bound is a defensible synthesis, not a published LeSuer figure.

The four published formulas (Epley, Brzycki, Lombardi, O'Conner) return slightly different numbers from the same input. The cross-formula average is the most defensible single number when you don't have a strong reason to prefer one.

FormulaAvg of Epley, Brzycki, Lombardi, O'Conner
Best at≤5 reps (±2%)
VariantBack squat (high or low bar)
ReviewedMay 2026
Full methodology

How to read this number

  • Specific to your variant.Back squat ≠ front squat ≠ box squat. Estimate from the variant you trained — the number isn't cross-convertible.
  • Depth determines the comparison, not the math. Powerlifting-legal depth is the convention most lifters report against; high-box numbers run heavier through a shorter ROM.
  • Use ≤5-rep input. ≤5 reps = HIGH (~±2%); 6–10 MEDIUM; past 10 the estimate is noisy because cardio fatigue starts mixing with strength fatigue.
  • Low-bar usually beats high-bar by 5–15%. Population-level pattern, not a conversion. Estimate from the style you actually used and label the number accordingly.

What this calculator does NOT do

  • Convert across squat variants.Front-to-back, box-to-free, high-bar-to-low-bar — all real differences the math doesn't see.
  • Judge depth. Same weight × reps with shallow depth gives the same estimate as full depth. Your reported 1RM only tracks the depth you actually hit.
  • Account for belted vs raw.A belt typically adds 5–15% to a max squat. Estimate from the equipment you trained with; don't cross-compare belted to raw.
  • Distinguish smith from free squat. Smith-machine back squat removes balance and ROM differential. Don't cross-compare smith numbers to free-bar numbers.
Worked answer

100 kg × 5 reps squat lands at ~115 kg.

Plug in 100 kg × 5 reps. Cross-formula average ≈ 114.8 kg, HIGH ±2% band (112.5–117.1 kg). Math: Epley 116.7 / Brzycki 112.5 / Lombardi 117.5 / O'Conner 112.5. The 5 kg spread across formulas is what a clean ≤5-rep input should look like — narrow, with the average pinned tight to the median.

Don't round up. The 117.5 kg Lombardi number is the highest single-formula estimate, NOT the headline — and Lombardi consistently runs hot at low reps relative to the other three. The cross-formula average is the right take-home; treat individual formula outliers as spread, not as a higher-confidence number.

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Quick answers about StrengthMath's calculators and how the numbers work. Free, no signup. Not coaching or medical advice — for programming work with a qualified strength coach (NSCA CSCS, USAW, or equivalent), and for pain or injury work with a sports-medicine physician or physical therapist.

Hi, I'm the StrengthMath assistant. I answer questions about strength-training math — 1RM estimation, percentage-of-1RM programming, plate loading, dumbbell-vs-barbell comparison, strength-standards reading — and how the calculators on this site work. I'm not a strength coach or sports-medicine professional and can't program for your specific physiology, training history, or competition goals. For programming or pain/injury, work with a qualified strength coach (NSCA CSCS, USAW, equivalent) or a sports-medicine physician.

Squat 1RM math is identical to bench — interpretation isn't

The four prediction formulas are lift-agnostic. Epley, Brzycki, Lombardi, and O'Conner each fit a curve to the load-vs-reps relationship; none of them know which lift you're doing. So a 100 kg × 5 squat and a 100 kg × 5 bench produce the same numerical estimate. The reliability bands from LeSuer 1997 also apply identically (±2% at ≤5 reps, widening past that).

What changes is how to interpret the result against population data and against your own programming. Squat is more variant-sensitive than bench — back vs front vs box, high-bar vs low-bar, belted vs raw, depth conventions, all materially shift what the same external load “means.” A 200 kg low-bar belted squat to a higher box and a 200 kg high-bar raw squat to depth are not the same accomplishment, even though the calculator returns the same 1RM estimate.

A worked example — 140 kg × 3 squat

Run 140 kg × 3 reps on back squat. Same four-formula math as bench:

Cross-formula average ≈ 152.3 kg squat 1RM with a HIGH reliability band of ±2% (~149.3–155.3 kg). Three reps is well inside the high-confidence zone, and the 8 kg spread across formulas is what to expect at this rep count. If you walked away from a set-of-3 thinking 160 kg might have been there, the math says the honest top end is closer to 155.

For programming weights off this number, the percentage-of-1RM calculator surfaces both the NSCA traditional bands and the ACSM 2026 widening — squat tends to respond well to the wider hypertrophy band (load ≥30% with RIR ≤3) more than bench does, but the math is the same either way.

Frequently asked

Is back squat 1RM the same as front squat or high-bar 1RM?

No. Front squat typically lands at 70–85% of back squat for the same lifter, and the gap between high-bar and low-bar back squat usually runs 5–15% (low-bar carries more weight for most). The math here doesn't know which variant you trained — it estimates 1RM from your submax weight and reps. The number is specific to whatever variant you actually performed. Don't cross-compare front squat estimates to back squat numbers without that adjustment.

Should the squat 1RM estimate include depth?

The estimate doesn't know your depth — it computes from weight and reps. Powerlifting-legal depth (hip crease below knee crease) is the assumption most lifters use when reporting squat numbers. If you're squatting to a higher box or stopping at parallel-but-shy, your reported 1RM tracks heavier than a depth-judged number would. The math doesn't care; the comparison to standards does. Same load through a shorter ROM is a different lift.

What rep range gives the most reliable squat 1RM estimate?

≤5 reps is the HIGH reliability band (~±2%) per LeSuer 1997's validation across bench/squat/deadlift. 6–10 reps is MEDIUM (~±5%). Past 10 reps the estimate is a programming hint, not a true 1RM — error widens to ±10% or more. Squat sets to failure at 12+ reps are particularly noisy because cardiovascular limits start mixing with strength limits, and the prediction formulas were never calibrated for that interaction.

Why is my squat 1RM different across the four formulas?

The four formulas (Epley, Brzycki, Lombardi, O'Conner) fit different curve shapes to the rep-weight relationship and disagree more as reps increase. At ≤5 reps they typically agree within 4–5%. At 8 reps the spread can be 8–10%; at 12 reps it can exceed 15%. The cross-formula average smooths the disagreement, but the underlying truth is that nobody's squat 1RM-vs-rep curve perfectly matches any single formula. The four-formula spread on your number is itself useful information about how confident to be in the headline.

Does the formula treat low-bar and high-bar differently?

No. The math is bar-position-agnostic — it takes weight and reps and returns an estimate. Population-level data suggests most experienced lifters back-squat 5–15% more low-bar than high-bar (lower bar position lets the hips contribute more), but that's an interpretive overlay, not a math difference. Estimate from whichever style you trained, and label your reported number accordingly.

What I'd do next

  1. Estimate deadlift 1RM separately

    Don't infer deadlift from squat. Population ratios are loose (deadlift typically 1.0–1.3× squat) and your individual ratio is the only one that matters.

  2. Build squat working weights

    Same %1RM table, applied to your squat number. Strength / hypertrophy bands surface both NSCA traditional + ACSM 2026.

  3. Depth + variant decisions

    What depth and bar-position choices change about the same external load.

Also in this cluster


By Jimmy L Wu. Engine shared with the general 1RM calculator — same four published formulas (Epley 1985, Brzycki 1993, Lombardi 1989, O'Conner et al. 1989), same LeSuer 1997-grounded reliability bands. Squat-variant ratios (front:back ~70–85%, low-bar:high-bar +5–15%, belted:raw +5–15%) are training-population observations, not conversion factors — track your own ratio over time rather than calculating off published averages. Engine logic in lib/strength/oneRepMax.ts. Not medical advice — for max attempts, work with a qualified strength coach.