Skip to main content
Mathovia

Health & Fitness / Exercise & Performance

RPE Calculator

Enter the weight, reps and RPE of a set you just did. The calculator estimates your one-rep max from it and works out the weight for your next set at the reps and RPE you want, rounded to the plates you have. Works in kilograms or pounds.

Estimated one-rep max
123.3
Your set as a % of one-rep max
81.1 %
Reps in reserve (10 − RPE)
2.0
Target set as a % of one-rep max
88.2 %
Target weight
108.8
Target weight, rounded to your plate increment
110.0
  • Target weight108.82 · 88%
  • Below your estimated max14.51 · 12%
Your target weight as a share of your estimated one-rep max.

Reps in reserve (RIR) = 10 − RPE, and effective reps = reps + RIR. The share of one-rep max is 1 ÷ (1 + effective reps ÷ 30), the Epley formula, with a true single (one rep at RPE 10) counted as 100% and values between one and two effective reps interpolated. Estimated one-rep max = weight ÷ that share; target weight = one-rep max × the share for the target reps and RPE.

Source: The RPE scale based on reps in reserve follows Zourdos et al., J Strength Cond Res 2016. The percentage table is Mathovia's own, built from the Epley formula; it lands within about 1–2% of the RPE charts popularised by Reactive Training Systems. Units are whatever you enter — kilograms or pounds.

Written by
MPhil in Mathematics, Founder of Mathovia
Updated

Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work

RPE turns “that felt heavy” into a number you can train with. If you know how many reps you had left in the tank, one hard set is enough to estimate your one-rep max, and from that, what to load for the next set. This calculator does both steps and rounds the answer to the plates on the bar.

RPE formulas: effective reps equal reps plus 10 minus RPE, and estimated one-rep max equals weight times one plus effective reps over 30
From a set and its RPE to an estimated one-rep max

What the RPE numbers mean

In strength training, RPE is rated by reps in reserve (RIR) — how many more good reps you could have done:

RPEReps in reserveWhat it feels like
100Maximal. No more reps, no more weight.
9.50–1No more reps, but a little more weight was possible.
91One more rep was there.
8.51–2Definitely one more, maybe two.
82Two more reps.
73Fast and controlled; three more reps.
64 or moreWarm-up or technique work.

The scale was set out for lifting by Zourdos and colleagues in 2016, and it’s now standard in RPE-based programs.

How the calculator works

Step 1 — effective reps. Add the reps you had left to the reps you did:

Step 2 — share of your max. A set taken to failure with that many reps is a known fraction of your one-rep max. The calculator uses the Epley formula, the same one behind the strength level calculator:

A true single at RPE 10 is counted as 100%, and between one and two effective reps the value is interpolated.

Step 3 — divide and multiply. Your estimated max is the weight divided by that share, and the weight for any other set is the max multiplied by the share for those reps and that RPE.

Worked example: 100 kg × 5 at RPE 8, then 3 at RPE 9

These are the calculator’s default values.

Step 1 — the set you did. Five reps with two in reserve is 7 effective reps:

Step 2 — estimated max.

Step 3 — the next set. Three reps at RPE 9 is 3 + 1 = 4 effective reps, or 88.2% of max:

Rounded to the nearest 2.5 kg that’s 110 kg. If you’d rather err on the light side, 107.5 kg is also fine; the difference is less than half an RPE point, well within the precision of anyone’s rating.

A second example: a back-off set in pounds

You squat 315 lb for 3 reps at RPE 9. That’s 4 effective reps, 88.2% of max, so your estimated max is lb. For back-off sets of 5 at RPE 8 — 7 effective reps, 81.1% — the weight is lb, or 290 lb to the nearest 5.

RPE Calculator worked example diagram
A visual read of the worked example above — the same numbers the calculator returns for its default inputs.

RPE chart

Each cell is the percentage of one-rep max for that many reps at that RPE.

RPE12345678910
10100.093.890.988.285.783.381.178.976.975.0
9.596.992.389.687.084.582.280.077.975.974.1
993.890.988.285.783.381.178.976.975.073.2
8.592.389.687.084.582.280.077.975.974.172.3
890.988.285.783.381.178.976.975.073.271.4
7.589.687.084.582.280.077.975.974.172.370.6
788.285.783.381.178.976.975.073.271.469.8
6.587.084.582.280.077.975.974.172.370.669.0
685.783.381.178.976.975.073.271.469.868.2
Colour-coded RPE chart of percentage of one-rep max for 1 to 10 reps at RPE 6 to 10, with the worked example cells highlighted
The same chart, shaded from light loads to heavy — the worked example is outlined

Notice the diagonals. Moving one column right and two rows up (one full RPE point) gives the same number, because one more rep done and one fewer rep in reserve add up to the same effort. Five at RPE 8 and seven at RPE 10 are both 81.1%.

Using RPE in a training session

  • Top set, then back-offs. Work up to one set at the planned RPE, estimate your max from it, and use that to set the weight for the rest of the session.
  • Track your estimated max. An e1RM that rises week to week at the same RPE is progress, without ever testing a true max.
  • Let the day decide. Poor sleep or a stressful week shows up as a lower estimate, and the loads follow it down automatically.

Common mistakes

  • Rating easy sets. Estimates from RPE 6 or 7 are much less reliable than from sets at RPE 8 to 10.
  • Counting grinders as clean reps. RPE assumes the reps you had left would have been good reps.
  • Using high-rep sets. Past about 10 reps, formulas like Epley lose accuracy.
  • Chasing a precise number. The rating is a judgement. Treat the output as a starting point and adjust from the bar speed of the first set.

Sources and assumptions

This calculator assumes:

  • RPE is based on reps in reserve: RPE 10 means no reps left, RPE 9 means one.
  • The percentage-of-max chart is an average; individual lifters vary.

Sources:

  • Zourdos, M. C. et al., Novel resistance training-specific rating of perceived exertion scale measuring repetitions in reserve, J Strength Cond Res 30(1):267–275 (2016)

Figures last reviewed: . Educational estimates, not professional advice.

About the formula: Reps in reserve (RIR) = 10 − RPE, and effective reps = reps + RIR. The share of one-rep max is 1 ÷ (1 + effective reps ÷ 30), the Epley formula, with a true single (one rep at RPE 10) counted as 100% and values between one and two effective reps interpolated. Estimated one-rep max = weight ÷ that share; target weight = one-rep max × the share for the target reps and RPE.

Frequently Asked Questions

What is RPE in lifting?+

RPE stands for rating of perceived exertion. In strength training it is scored by reps in reserve: RPE 10 means you could not have done another rep, RPE 9 means one more was left, RPE 8 means two more, and so on. Half steps such as 8.5 mean you might have had two left, and certainly had one.

How do you calculate one-rep max from RPE?+

Add the reps in reserve to the reps you did to get effective reps, turn that into a percentage of your max, and divide. 100 kg for 5 reps at RPE 8 is 5 + 2 = 7 effective reps, about 81.1% of max, so your estimated one-rep max is 100 ÷ 0.811 = 123.3 kg.

What does RPE 8 mean?+

RPE 8 means you finished the set with about two good reps left in the tank. It is the most common working intensity in RPE-based programs because it is hard enough to drive progress while leaving room for good technique.

What is the difference between RPE and RIR?+

They are two ways of stating the same thing. RIR, reps in reserve, is how many more reps you could have done; RPE is 10 minus that. A set with two reps in reserve is an RPE 8.

How accurate is an RPE estimate of one-rep max?+

It is usually within a few percent, and gets better with experience and closer to failure. Research on the reps-in-reserve scale found lifters rate hard sets more accurately than easy ones, so estimates from sets at RPE 8 to 10 are more reliable than from RPE 6.

Why is this RPE chart slightly different from others?+

There is no single official chart. The widely shared ones come from coaches' own data. This calculator uses a published formula (Epley) applied to reps plus reps in reserve, which keeps the numbers consistent and lands within about 1–2% of the common charts.

Should I use RPE or percentages?+

Many programs use both: percentages to plan, RPE to adjust on the day. RPE automatically accounts for sleep, stress and fatigue, while percentages keep you honest if you tend to rate sets too easy or too hard.

Related calculators