RPE to percentage chartand 1RM calculator

The chart below converts between RPE, reps in reserve and percentage of your one-rep max for 1 to 12 reps. The calculator under it estimates your 1RM from a working set using the Epley formula, which is the same formula Fire Your Coach runs internally. It needs no account, sends nothing anywhere, and works with the page open in a gym with no signal.

THE CHART

RPE, reps in reserve, and what they are as a percentage of your 1RM

Percentage of one-rep max by reps completed and RPE. Source: the Reactive Training Systems chart published by Mike Tuchscherer, cross-checked cell by cell against an independently published copy in August 2026. The 70 cells where reps plus reps in reserve total 10 or fewer matched exactly across both copies. The 38 shaded cells past that total did not: published versions drift apart there, by 0.5 of a point at the boundary and by 4.6 points at the far corner, where 12 reps at RPE 6 is given as either 57.2 or 61.8 percent. Use the shaded region as a rough guide, not as a loading target.

Percentage of one-rep max by reps completed and RPE
RepsRPE 10RPE 9.5RPE 9RPE 8.5RPE 8RPE 7.5RPE 7RPE 6.5RPE 6
110097.895.593.992.290.789.287.886.3
295.593.992.290.789.287.886.385.083.7
392.290.789.287.886.385.083.782.481.1
489.287.886.385.083.782.481.179.978.6
586.385.083.782.481.179.978.677.476.2
683.782.481.179.978.677.476.275.173.9
781.179.978.677.476.275.173.972.871.7
878.677.476.275.173.972.871.770.769.6
976.275.173.972.871.770.769.668.667.6
1073.972.871.770.769.668.667.666.665.6
1171.770.769.668.667.666.665.664.763.7
1269.668.667.666.665.664.763.762.861.8

The 38 shaded cells sit past reps-plus-RIR of 10, where published copies of this chart disagree. Read them as a direction, not a loading target.

Values are percentages of one-rep max. Attributed to Reactive Training Systems (Mike Tuchscherer). All 70 cells at reps_to_failure <= 10 matched between two independently published copies of this chart, checked 2026-08-17. The remaining 38 cells sit in a region where published versions diverge, from 0.5 of a percentage point at the boundary to 4.6 points at reps_to_failure 16.

THE EASY HALF

RPE to RIR is a subtraction, not an estimate

RPE and reps in reserve are the same scale read from opposite ends. Unlike the percentage columns, this mapping doesn't vary between lifters, lifts or sources.

RPERIRWhat it means
RPE 100Nothing left. Could not have done another rep.
RPE 9.50.5Might have had one more. Not sure.
RPE 91One more rep was there.
RPE 8.51.5One more for certain, possibly two.
RPE 82Two more reps were there.
RPE 7.52.5Two more for certain, possibly three.
RPE 73Three more reps. Bar speed still deliberate.
RPE 6.53.5Three more for certain, possibly four.
RPE 64Four or more. Warm-up or technique territory.
THE CALCULATOR

Estimate your 1RM from a set you actually did

Arithmetic in the page. No account, no upload, nothing leaves the browser. Enter a set and the numbers appear as you type.

Whatever was on the bar. The formula does not care about units.
Unit
Only affects how the loads below are labelled. The formula is unit-agnostic.
Reps you actually finished, not the ones you were aiming for.
Leave this alone to get exactly what Fire Your Coach stores. Set it to see the chart reading beside it.
The increment for the working-load table below. 2.5 suits a barbell with standard plates; drop to 0.5 for dumbbells or a machine stack.
Estimated 1RM
—
Epley, from weight and reps only. This is the number Fire Your Coach stores against the set.

KEEP THE NUMBERS

You Just Estimated One Set. The App Does This For Every Session.

Fire Your Coach runs this same Epley estimate on every set you log, tracks the trend across blocks, and reads the intensity your plan asked for. The chart above stays free either way.

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THE FORMULA

Epley is a choice. It is not the truth.

estimated 1RM = weight × (1 + reps ÷ 30)

Fire Your Coach estimates a one-rep max with Epley, and this calculator runs the same line of code. That's the whole reason the page exists. If your estimated max here disagrees with the one in your plan, something is broken, and it's not the arithmetic.

But Epley is one of at least four formulas in circulation, and they don't agree. Brzycki divides rather than multiplies. Lombardi raises reps to a fractional power. O'Conner adds a flat 2.5 percent per rep. Feed all four the same set of 100 kg for 3 reps and they return 110, 105.9, 111.6 and 107.5 kg. Same set, a spread of nearly six kilos, and every one of them is a published, cited equation.

Where they drift is worth knowing. Against Lombardi and O'Conner, Epley reads high and the gap widens as reps climb: at 12 reps Epley says 140 kg where O'Conner says 130 and Lombardi says 128.2. Against Brzycki the picture reverses partway. The two cross at exactly 10 reps, both landing on 133.3 kg. Below 10 reps Epley is the higher of the two, above 10 reps Brzycki is, and Brzycki keeps climbing until it breaks entirely near 37 reps.

We picked Epley for a boring reason. It's the formula most commonly implemented in the trackers our users import from, so an estimated max that carried over from Strong or Hevy lands close to where it started. A different formula would have been defensible. Silently switching between them wouldn't.

100 120 140 160 180 200 1 3 5 8 10 12 15 20 kg Reps completed with 100 kg Epley at 1 reps: 103.3 kg Epley at 3 reps: 110.0 kg Epley at 5 reps: 116.7 kg Epley at 8 reps: 126.7 kg Epley at 10 reps: 133.3 kg Epley at 12 reps: 140.0 kg Epley at 15 reps: 150.0 kg Epley at 20 reps: 166.7 kg Epley Brzycki at 1 reps: 100.0 kg Brzycki at 3 reps: 105.9 kg Brzycki at 5 reps: 112.5 kg Brzycki at 8 reps: 124.1 kg Brzycki at 10 reps: 133.3 kg Brzycki at 12 reps: 144.0 kg Brzycki at 15 reps: 163.6 kg Brzycki at 20 reps: 211.8 kg Brzycki Lombardi at 1 reps: 100.0 kg Lombardi at 3 reps: 111.6 kg Lombardi at 5 reps: 117.5 kg Lombardi at 8 reps: 123.1 kg Lombardi at 10 reps: 125.9 kg Lombardi at 12 reps: 128.2 kg Lombardi at 15 reps: 131.1 kg Lombardi at 20 reps: 134.9 kg Lombardi O'Conner at 1 reps: 102.5 kg O'Conner at 3 reps: 107.5 kg O'Conner at 5 reps: 112.5 kg O'Conner at 8 reps: 120.0 kg O'Conner at 10 reps: 125.0 kg O'Conner at 12 reps: 130.0 kg O'Conner at 15 reps: 137.5 kg O'Conner at 20 reps: 150.0 kg O'Conner they agree at 10
Estimated 1RM from a 100 kg set, by formula. Computed 2026-08-17 from the four published equations. Values are listed in full in the table below.
RepsEpleyBrzyckiLombardiO'Conner
1103.3100.0100.0102.5
3110.0105.9111.6107.5
5116.7112.5117.5112.5
8126.7124.1123.1120.0
10133.3133.3125.9125.0
12140.0144.0128.2130.0
15150.0163.6131.1137.5
20166.7211.8134.9150.0

Epley and Brzycki meet at exactly 10 reps. Solve w(1 + r/30) = 36w/(37 - r) and you get r = 10, with no other positive root. That crossover is the single most useful fact on this table: below 10 reps the two formulas bracket each other one way, above 10 reps the other.

One thing surprises people. Epley doesn't return the weight for a single. Enter 140 kg for 1 rep and it reports 144.7 kg, because the formula adds a thirtieth of the load per rep and never subtracts the first one. That's a property of the equation rather than a fault in your log, and it's why a genuine one-rep max is worth recording as a max rather than inferring from the estimator.

HOW TO READ IT

The whole chart is one rule, repeated 108 times.

Every cell answers the same question: how many reps you'd have got if you'd kept going. RPE 8 means two were still there. So five reps at RPE 8 and seven reps at RPE 10 are the same set as far as the load is concerned, and the chart gives both of them 81.1 percent.

That's why the numbers run in diagonals rather than down columns. Follow 81.1 percent across the grid and you find 7 reps at RPE 10, 6 at RPE 9, 5 at RPE 8, 4 at RPE 7 and 3 at RPE 6. Five different sets, one number, because they all cost the bar the same thing.

Which means you only need one piece of arithmetic to use any of it: reps to failure equals reps completed plus ten minus your RPE. Find that total in the reps column, read the RPE 10 value, and you've got your percentage. Everything else in the table is the same answer written out for convenience.

Worked through: 140 kg for 5 at RPE 8. Two in reserve makes seven reps to failure. Seven reps is 81.1 percent, so 140 divided by 0.811 puts your max near 172.6 kg. Eighty percent of that is 138 kg, which is roughly the weight already on the bar. That's the point of the exercise. Not a verdict on how strong you are, a number you can load next Tuesday.

RPE AND RIR

One scale, read from opposite ends.

Subtract the RPE from ten and you have the reps in reserve. RPE 10 is 0, RPE 9 is 1, RPE 8 is 2. Half points behave the same way, so RPE 8.5 is one and a half reps left. There's no conversion table required and no source anywhere that disagrees, because this half is a definition rather than a measurement.

The scale that made it usable is the repetitions-in-reserve RPE scale from Zourdos and colleagues in 2016. Its contribution was replacing "how hard did that feel" with "how many more could you have done". The second question has an answer you can check against the next set.

The same study carries the caveat worth keeping. Experienced squatters rated their sets more accurately than novices did. If you've been under a bar for a decade, your RPE 8 is probably an RPE 8. If you started in March, your RPE 8 is often nearer a 6, and every percentage downstream of it inherits that error quietly.

Fire Your Coach reads both dialects because coaches write in both. A prescription arriving as RPE 8, as 2 RIR, as 75 percent or as Zone 2 is parsed into a stored intensity kind, so what your coach wrote is what you see. When readiness is poor the app eases the effort target rather than guessing at a new weight: it adds a rep to your reserve on strength work, and drops a protocol's RPE target by two points. Same scale, used as a control surface.

PROVENANCE

A starting estimate. Never a prescription.

The percentage columns come from the Reactive Training Systems chart published by Mike Tuchscherer, which is why RPE became a loading language in strength sport rather than a private feeling. It's an average of many lifters. It was never a law about any one of them.

Three things move it, and they move it by more than the chart's own precision. The lift: a five-rep squat and a five-rep deadlift aren't the same fraction of their respective maxes for most people. The lifter: training history and how comfortable you are near a true limit both change how many reps you own at a given percentage. And the distance from a single, because the further out you go the more the estimate is doing on its own.

There's evidence for the first one. LeSuer and colleagues tested seven prediction equations across the bench press, squat and deadlift in 1997. Correlations were high across the board, above 0.95, and every single equation still understated the deadlift. One number doesn't travel across three lifts, which is a limit of the method rather than a flaw in any particular table.

The published charts also disagree with each other. Checking three copies of "the RPE chart" in August 2026 returned three answers for ten reps at RPE 10: 73.9 percent, 75 percent and 77.5 percent. On a 140 kg lift that spread is about five kilos. So pick one chart and stay on it. Which table you chose matters far less than whether last month's session and this one were read off the same one.

That disagreement is worst in the shaded corner of our own table, which is why it's shaded. Everything at ten reps to failure or fewer is solid and every published version agrees on it. Past that, the versions drift, and at the very corner one chart calls 12 reps at RPE 6 a 57.2 percent effort while another calls it 61.8. Both cannot be right and we have not been able to find out which is. Those cells are there because a chart that stops early is annoying, not because we would program from them.

Use it to choose a starting load, then let the set correct you. If the chart says 81 percent and 81 percent came up at RPE 9.5, the chart was wrong about you. That's not a failure of the method. That's the method working.

WHERE THEY DISAGREE

The chart and the formula give different answers.

Both the chart and Epley claim to give you a one-rep max, and they don't match. This is the part most calculators leave out, so here it is with numbers.

Take reps to failure and ask each method what it implies. At seven reps they agree almost exactly, Epley landing within 0.02 percent of the chart. Below seven Epley reads high, peaking at 3.3 percent over at a single. Above seven it reads low, and by twelve reps it's 2.6 percent under. Neither is drifting because it's broken. They were fitted to different data and they cross where the data overlapped.

The practical consequence is small and worth knowing anyway. If you log heavy singles and doubles, your Epley estimate flatters you slightly. If you log sets of ten, it undersells you slightly. Since Fire Your Coach applies the same formula to every set you've ever logged, the bias is constant and the trend across a block is still clean. A number that's consistently 2 percent low is a perfectly good measuring stick. A number that changes formula halfway through isn't.

WHEN IT DOES NOT HELP

Four places this chart will lie to you.

Conditioning work. A percentage of a one-rep max means nothing in an interval session, an EMOM or a sled push, because what limits you there is pace and recovery rather than load. The RPE half still travels perfectly well and Fire Your Coach uses it on protocols too. The percentage half doesn't, and forcing it produces a number with no referent.

Machines and small isolation work. Cable stacks, pin-loaded machines and lateral raises all have rep-max curves of their own, and they aren't the barbell's. The chart was built on squat, bench and deadlift. A 20-rep leg extension isn't 61.8 percent of anything you would want to attempt for a single.

Sets past about twelve reps. Every formula on this page is extrapolating up there and they stop agreeing, sometimes by ten percent or more. The calculator will still give you an answer above twelve reps, with a caution attached, because refusing outright is unhelpful. Treat it as a direction.

Your first weeks back. After time off, your RPE calibration is the thing that decayed fastest. Ratings come back within a few sessions, but until they do, the chart is faithfully converting an input that's wrong.

WHERE FIRE YOUR COACH FITS

The chart is a lookup. A plan is a decision.

Everything above is a conversion. It tells you what a number means today, and it'll still be right in a year with no account and nothing to sign up for. Bookmark it and use it.

What it can't do is remember. It doesn't know your estimated max was climbing for six weeks and then stalled, that the stall started when you moved to a different squat variation, or that you've run the same top set at RPE 9 for three blocks and the reps haven't moved. Those questions need a record with reasoning attached, and that's a different tool.

Fire Your Coach computes this same estimate from every set you log, tracks it per lift across blocks, and keeps the intent behind each prescription so the next block starts from what happened rather than from a blank page.

THE DIFFERENCE
Every Calculator Uses A Different Formula. This One Matches Your Plan.
READ NEXT
SOURCES

Where This Comes From.

The papers behind the empirical claims on this page, with the population each one studied. Where we could confirm only what a study set out to measure and not the size of what it found, the note says so rather than borrowing the paper's authority for a number nobody read.

  1. Michael C Zourdos et al. (2016). Novel Resistance Training-Specific Rating of Perceived Exertion Scale Measuring Repetitions in Reserve. Journal of Strength and Conditioning Research.

    The stated primary aim was to compare RPE values measuring repetitions in reserve at particular percentages of 1RM in experienced versus novice squatters.

    29 individuals, mean age 24.0 +/- 3.4 years, experienced and novice squatters.
  2. Jerry L Mayhew et al. (2007). Using absolute and relative muscle endurance to estimate maximal strength in young athletes. International Journal of Sports Physiology and Performance 2(3): 305-314.

    All 7-to-10-RM prediction equations correlated with actual 1RM at r > .98, higher than the absolute-load equation at r = .95. Despite those correlations, only 3 of 11 equations produced predicted values that were not significantly different from actual 1RM.

    High school male athletes. Bench press only.
  3. D A LeSuer et al. (1997). The accuracy of prediction equations for estimating 1-RM performance in the bench press, squat, and deadlift. Journal of Strength and Conditioning Research 11(4): 211-213.

    Correlations above 0.95 across the equations tested, and all tested equations significantly underestimated the deadlift.

    67 untrained college students. This limit matters and the page carries it.
  4. Michael J Ormsbee et al. (2019). Efficacy of the Repetitions in Reserve-Based Rating of Perceived Exertion for the Bench Press in Experienced and Novice Benchers. Journal of Strength and Conditioning Research 33(2): 337-345.

    Extends the RIR-based RPE question from the squat to the bench press, again splitting experienced from novice lifters. Journal, volume and page range are self-cited in the abstract.

    Experienced and novice male bench pressers, university setting.
FREQUENTLY ASKED

Questions From The Floor.

It depends entirely on how many reps you did. RPE 8 means two reps in reserve, so a set of 3 at RPE 8 is 86.3 percent of your one-rep max, a set of 5 is 81.1 percent, and a set of 10 is 69.6 percent. There's no single percentage for RPE 8, which is why the chart is a grid rather than a list. Find your rep count in the left column and read across to the RPE 8 column.

Subtract the RPE from 10. RPE 10 is 0 reps in reserve, RPE 9 is 1, RPE 8 is 2, RPE 7 is 3 and RPE 6 is 4. Half points work the same way, so RPE 8.5 is 1.5 reps in reserve. This mapping is a definition rather than an estimate, so unlike the percentage columns it doesn't vary between lifters, between lifts, or between sources.

None of them is accurate in the way that word usually means. Epley, Brzycki, Lombardi and O'Conner all fit a curve to averaged data and they disagree with each other on the same set. Given 100 kg for 3 reps they return 110, 105.9, 111.6 and 107.5 kg. LeSuer and colleagues tested seven equations in 1997 and found every one of them understated the deadlift despite high correlations. What matters more than the choice is making the same choice every time, so a trend across months measures your training rather than your formula.

Because it's almost certainly running a different formula, and it probably doesn't tell you which. Fire Your Coach uses Epley, which is weight multiplied by one plus reps divided by 30, and this calculator runs exactly that line of code. If your other app uses Brzycki, the two will agree at 10 reps and separate on either side of it. Neither is wrong. They're different estimates of a number nobody measured.

Use the RPE half of it, not the percentage half. A percentage of a one-rep max has no meaning in an interval session, an EMOM or a Hyrox station, because the limiting factor there is pace and recovery rather than load. Effort still needs a word, so RPE and reps in reserve carry over fine and Fire Your Coach uses them on protocols too. The percentage columns are for loaded strength work with a rep target.

No. The estimate is computed from the weight and reps you logged, with any RPE stored alongside rather than folded in. So if you stopped a set with reps in reserve, the estimate reads low on purpose. A set of 5 at 140 kg returns 163.3 kg whether you called it RPE 8 or RPE 10. The RPE adjusted figure this calculator shows is a separate second reading you can compare against it, not what the app files.

STOP CONVERTING BY HAND

Fire Your Coach Reads The Intensity Your Plan Already Wrote.

RPE, RIR, percentage or zone: the parser keeps whichever your program used and shows it on the set, so you are not translating between three scales in a notebook mid-session.

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