Based on 100 kg for 5 reps, your estimated Bench Press 1RM is 116 kg (average across 6 formulas, range: 113–119 kg). Your training max (90%) is 104 kg — this is the number most strength programs like 5/3/1 use for percentage-based programming.
Strength
One-Rep Max Calculator
Estimate your 1RM using Epley, Brzycki, and Lombardi formulas with a practical percentage table.
Estimated 1RM
116 kg
Formula Comparison
6 formulas show the likely range of your true 1RM.
Log your lifts and track progress
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Formulas: Epley (1985), Brzycki (1993), Lombardi (1989), Mayhew et al. (1992), Wathen (1994), Lander (1985).
How to use it
- Enter the weight you lifted and the number of reps completed in your best recent working set. This calculator compares three validated estimation formulas: the Epley formula (1RM = weight x (1 + reps/30)), the Brzycki formula (1RM = weight x 36 / (37 - reps)), and the Lombardi formula (1RM = weight x reps^0.10). Each formula was derived from different study populations and performs differently across rep ranges. The Epley formula, published by Boyd Epley at the University of Nebraska in 1985, remains the most widely used in strength training literature. All three formulas are most accurate between 2 and 10 reps, where they typically agree within 2-3% of each other. At 12+ reps, estimation error increases to 10-15% because muscular endurance begins to influence the set more than peak strength, and the linear relationship between reps and maximal capacity breaks down. For the most reliable estimate, use a weight you can lift for 3-6 reps with good form and full range of motion.
- Use your estimated 1RM to calculate training percentages for different goals. Hypertrophy training typically uses 65-75% of 1RM for sets of 8-12 reps, strength training uses 80-87% for sets of 3-5 reps, and maximal strength peaking uses 90-100% for singles, doubles, and triples. For example, if your estimated bench press 1RM is 100 kg, your hypertrophy working sets would use 65-75 kg, strength sets would use 80-87 kg, and peak sets would use 90-100 kg. The National Strength and Conditioning Association (NSCA) guidelines recommend that only experienced lifters with spotters attempt loads above 90% of 1RM. For most training purposes, an estimated 1RM is safer and more practical than a true tested maximum, because actual 1RM attempts carry meaningful injury risk, especially on compound lifts like squats and deadlifts.
- When you have estimates from multiple rep counts, compare them to identify accuracy. A 5-rep set and a 3-rep set should produce 1RM estimates within 3-5% of each other if both were performed at true maximal effort. If your 10-rep estimate is significantly higher than your 3-rep estimate, the higher-rep set likely was not taken to true failure, or your endurance exceeds your peak strength relative to population averages. In that case, trust the lower-rep estimate because it is closer to the actual neuromuscular output the 1RM represents. Research by Reynolds, Gordon, and Robergs (2006) published in the Journal of Strength and Conditioning Research found that the Brzycki formula slightly outperforms Epley at higher rep ranges, while Epley is more accurate at lower rep ranges, which is why this calculator presents both.
- Track your estimated 1RM over successive training blocks to measure real progress. A 3-5% increase in estimated 1RM over a 4-6 week training block represents solid progress for intermediate lifters who have been training consistently for 1-3 years. Beginners in their first year of training can expect 5-10% gains per block on compound movements due to rapid neuromuscular adaptation. Advanced lifters with 5+ years of training may see only 1-2% improvements per block, and progress is better measured across 12-16 week macrocycles. For context, the Lyle McDonald model of strength progression suggests that a male intermediate lifter can expect approximately 10-15% annual improvement on major lifts, decelerating to 5% for advanced lifters. If your estimated 1RM is stagnant across two consecutive blocks, your programming likely needs a stimulus change such as variation in rep scheme, tempo, or exercise selection.
- Re-test your working sets every 4-6 weeks at the end of a training block. Use the same exercise variation, same range of motion, and similar conditions each time for valid comparison. Do not compare a paused bench press 1RM estimate to a touch-and-go estimate, and do not compare a high-bar squat estimate to a low-bar estimate. The difference between variations can be 5-15% and will mask real progress. If you train using RPE-based programming, your RPE 10 set at a given rep count provides the input needed here without requiring a separate test session. Many coaches in the Reactive Training Systems methodology developed by Mike Tuchscherer use this approach to track 1RM trends without the fatigue cost and injury risk of dedicated max-out sessions.
AI Integrations
Contract, discovery endpoints, and developer notes for agent use.
Always available for agents
AI Integrations
Contract, discovery endpoints, and developer notes for agent use.
Tool contract JSON
https://aifithub.io/contracts/one-rep-max-calculator.jsonStable input and output contract for this exact tool.
Human review
People can use the browser page to sense-check outputs and charts, but agents should still execute against the contract and discovery endpoints.
- /agent-tools.json - machine-readable tool index.
- /llms.txt - human-readable model discovery guide.
- /.well-known/webmcp.json - WebMCP capabilities manifest.
- /.well-known/ai-plugin.json - plugin-style discovery manifest.
{
"tool": "one_rep_max",
"weight_kg": 100,
"reps": 5,
"formula": "brzycki"
} Expand developer notes
Agent playbook
- Resolve One-Rep Max Calculator from /agent-tools.json and open its contract before execution.
- Validate inputs against the contract schema instead of scraping labels from the page UI.
- Open the browser page only when a person wants to review charts, assumptions, or related tools.
Agent FAQ
Should ChatGPT, Claude, or another agent click through the UI?
No. Start with /agent-tools.json, then follow the tool's contract URL. The page UI is for human review, not parameter discovery.
When do tools show Quick and Advanced?
Every tool opens in Quick Start first. Advanced Controls keeps the same scenario, reveals more assumptions or diagnostics, and every tool keeps AI integrations inline below the instructions.
When should an agent still open the browser page?
Open it when a human wants to sense-check the output, review the chart, or keep exploring related tools after the calculation finishes.
Questions people usually ask
What formulas does this calculator use and how do they differ?
This calculator compares three validated formulas: Epley (1RM = weight x (1 + reps/30)), Brzycki (1RM = weight x 36 / (37 - reps)), and Lombardi (1RM = weight x reps^0.10). The Epley formula, published by Boyd Epley at the University of Nebraska in 1985, is the most widely cited in strength training literature. Brzycki tends to produce slightly lower estimates at higher rep counts (8-12 reps), making it more conservative. Lombardi uses an exponential model rather than linear. All three agree within 2-3% for sets of 3-6 reps but diverge at 10+ reps. The calculator presents all three so you can see the range and use the most conservative estimate for safety.
How accurate are 1RM estimates compared to actual tested maximums?
Research by Reynolds, Gordon, and Robergs (2006) in the Journal of Strength and Conditioning Research found that estimation accuracy is highest for sets of 2-6 reps, where predictions typically fall within 3-5% of a tested 1RM. At 7-10 reps, accuracy drops to within 5-8%. Above 10 reps, estimates can overpredict by 10-15% because muscular endurance becomes a larger factor and the linear relationship between reps and maximal capacity breaks down. For the most reliable estimate, use a recent set of 3-5 reps performed at true maximal effort with good form.
Should I actually test my one-rep max in the gym?
For most training purposes, an estimated 1RM is safer and more practical than a true tested maximum. Actual 1RM attempts carry meaningful injury risk, particularly on compound lifts like squats and deadlifts, and produce significant central nervous system fatigue that can impair training for several days afterward. The NSCA recommends that only experienced lifters with spotters and proper equipment attempt true 1RM testing. For programming purposes, an estimated 1RM derived from a 3-5 rep set provides sufficient accuracy to set training loads.
Why does my estimated 1RM differ between exercises?
Different exercises have different rep-to-max relationships based on muscle groups involved and movement patterns. Isolation exercises and machine movements tend to allow more reps at a given percentage of 1RM than compound barbell movements. Deadlifts often produce lower rep-to-max ratios than squats because grip fatigue and spinal loading accumulate faster. The formulas were primarily validated on compound barbell movements, so they are most accurate for squat, bench press, deadlift, and overhead press.
How often should I update my estimated 1RM?
Update your estimated 1RM every 4-6 weeks, typically at the end of a training block before starting a new cycle. Intermediate lifters can expect 3-5% improvements per block on major lifts, while beginners may see 5-10% gains. If your estimated 1RM has not improved across two consecutive training blocks (8-12 weeks), your programming likely needs adjustment in volume, intensity, exercise selection, or recovery management.
What is the difference between a training max and a true 1RM?
A training max is typically set at 85-90% of your estimated true 1RM and is used as the reference point for calculating working weights in many popular programs like 5/3/1 by Jim Wendler. Using a training max instead of a true 1RM provides a built-in buffer that reduces injury risk and allows for productive training even on suboptimal days. If your estimated 1RM is 150 kg, your training max at 90% would be 135 kg, and your working sets would be calculated from that lower number.
Does the formula account for body weight or training experience?
No. The Epley, Brzycki, and Lombardi formulas are purely mathematical relationships between weight lifted and reps completed. They do not account for body weight, training age, sex, or exercise type. The accuracy remains consistent across these variables for sets of 2-10 reps. For bodyweight-relative strength comparison, use the result in the Strength Percentile Calculator.
Can I use Smith machine or machine exercise numbers?
You can, but the estimate will not transfer directly to free-weight equivalents. Smith machine movements remove stabilization demands, typically allowing 10-15% more weight than the free-weight version. If you estimate a Smith machine bench press 1RM of 100 kg, your free-weight bench press 1RM is likely 85-90 kg. Use this calculator with the exercise variation you actually train and program for.
Is this tool free and private to use?
Yes. AI Fit Hub tools are free, no-signup browser tools. All calculations run locally in your browser and no data is sent to any server.
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