Strength Training Formula

RPE to Percentage Formula (Tuchscherer)

RPE (Rate of Perceived Exertion) maps subjective effort to a percentage of one-rep max. Mike Tuchscherer's table is the powerlifting standard: RPE 10 = absolute max (no reps left in tank), each whole-RPE drop ≈ 2-3% drop in load relative to 1RM. The formula is intentionally non-linear: gaps tighten near max, widen at lower intensities.

3 VARIABLESPublished May 14, 2026Live Content

By Orbyd Editorial · AI Fit Hub Team

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RPE to Percentage Converter

Convert RPE and reps to percentage of 1RM with a full interactive RPE chart based on the Tuchscherer table.

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On This Page

Formula 3 variables Worked example Variations

Education · Not medical advice. Output is deterministic math from your inputs.Editorial standards Sponsor disclosure Corrections

Formula

Copy the exact expression or work through it step by step below.

 %1RM = base_at_RPE10 − (10 − RPE) × Δ_per_rpe
   where Δ_per_rpe ≈ 2.5% (rep-dependent)
   See Tuchscherer chart for exact reps×RPE mapping.

Variables

%1RM

Percentage of one-rep max

Load expressed as a fraction of true 1RM. 0.85 = 85% 1RM.

RPE

Rate of Perceived Exertion

Subjective rating 1-10 of how many reps in reserve (RIR). RPE 10 = 0 RIR (failure), RPE 9 = 1 RIR, RPE 8 = 2 RIR, RPE 7 = 3 RIR.

reps

Reps per set

Required input because RPE→% varies by rep count. Example: 1 rep at RPE 10 = 100%; 3 reps at RPE 10 = ~93%; 8 reps at RPE 10 = ~80%.

Step By Step

1

Identify rep target and target RPE for the working set.

Programmed: 5 reps at RPE 8 on squat.
2

Look up the Tuchscherer chart cell: reps × RPE → %1RM.

5 reps at RPE 8 = ~80% 1RM (chart value).
3

Apply percentage to current 1RM estimate.

Squat 1RM = 180 kg. 80% = 144 kg. Use plate-rounded weight: 145 kg (3 × 20 + 2 × 2.5).
4

Auto-regulate: if first warm-up at planned weight feels heavier than expected, drop 5%. If lighter, add 2-3%.

First top set feels RPE 9 instead of planned 8 → drop to 138 kg next set.

Worked Example

Intermediate powerlifter, 180 kg squat 1RM, running an RPE-based program

Current 1RM

180 kg

Programmed reps

Programmed RPE

8 (2 reps in reserve)

5 reps at RPE 8 → 80% 1RM (Tuchscherer) 180 kg × 0.80 = 144 kg Plate-rounded to 145 kg

145 kg × 5 at RPE 8 is the prescribed top set. If actual exertion lands at RPE 9, deload 5% (~138 kg) next session — the bar is heavier than the formula thinks, likely accumulated fatigue.

Common Variations

Eric Helms ROIR (Reps in Reserve) scale: RPE 10 = 0 RIR, RPE 9 = 1 RIR, etc. Same numerical mapping as Tuchscherer but framed in 'how many more reps could you do' language — easier to teach beginners.

Brzycki formula: %1RM = 1 / (1.0278 − 0.0278 × reps). Gives RPE-10-equivalent percentages only. Doesn't model sub-RPE-10 sets.

Velocity-Based Training (VBT) thresholds replace RPE entirely: bar speed in m/s at the concentric peak predicts 1RM proximity. Less subjective but requires a tracker (~$1.5K).

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Sources & References

Reactive Training Manual (Mike Tuchscherer, 2008) — Reactive Training Systems — original publication of the RPE chart
The Reactive Training Systems Manual, 2nd ed. (2014) — Reactive Training Systems — refined chart + autoregulation framework
Helms et al. (2016). Recommendations for natural bodybuilding contest preparation. — Journal of Sports Medicine and Physical Fitness — RIR/RPE for hypertrophy
González-Badillo & Sánchez-Medina (2010). Movement velocity as a measure of loading intensity in resistance training. — International Journal of Sports Medicine — VBT alternative to RPE