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Cardio

How To Calculate Target Heart Rate

Target heart rate turns an intensity you can name into a pulse you can check. The arithmetic is short; the interesting part is that almost every input is an estimate.

Quick Answer

Target HR = Resting HR + (Max HR - Resting HR) x Intensity

HRrest
Resting heart rate, taken before getting out of bed
HRmax
Estimated maximum heart rate, usually 220 minus age
reserve
Heart rate reserve, equal to HRmax minus HRrest
intensity
Share of the reserve, written as a decimal
target
Target heart rate in beats per minute

Estimate the maximum as 220 minus age, subtract the resting rate to get the reserve, then add the chosen share of that reserve back to the resting rate. For a 30-year-old with a resting rate of 60 and an intensity of 70 per cent, the maximum is 190, the reserve is 130, and the target is 60 + 130 x 0.7 = 151. The moderate band runs from 50 per cent, giving 125, to 85 per cent, giving 170.5. Taking 70 per cent of the maximum directly gives only 133, so the method behind any figure should always be stated.

What Is Target Heart Rate?

Target heart rate is a training pace expressed as a pulse. It answers one narrow question: at what heart rate should a session be run so that the effort sits inside a chosen band? The number is assembled from two inputs you supply, your age and your resting heart rate, plus an intensity you choose. Nothing about it is measured directly, which is the first thing worth keeping in mind. That distinction sets the tone for everything that follows: the result is a planning estimate, and its accuracy is bounded by the accuracy of the inputs rather than by the arithmetic, which is trivial.

The most common route is the Karvonen method. It begins with heart rate reserve, the gap between your estimated maximum and your resting rate, and then takes a percentage of that gap. Resting rate plus that percentage of the reserve gives the target. The design is deliberate: two people of the same age but different resting rates receive different targets, which matches what actually happens on a treadmill. The subtraction that produces the reserve is the whole trick, because it removes the part of the range a person never uses while awake.

The alternative route takes a percentage of the maximum heart rate directly and ignores the resting rate. It is simpler and older, and for anyone with a low resting pulse it returns a noticeably lower number than Karvonen. Both results are called a target heart rate, so a figure quoted without its method is ambiguous by roughly ten to twenty beats per minute. Whenever you meet a target quoted anywhere, the first useful question is which of the two conventions produced it.

Maximum heart rate is the weak joint in both routes, because it is almost never measured. The familiar 220 minus age is a population average fitted decades ago, and the spread around it is wide, on the order of ten or eleven beats. For any single person it can be wrong by more than that, and every downstream number inherits the error. Treat it as a starting point rather than a reading. A genuine maximum requires a graded exercise test under supervision, which is why most training plans accept the estimate and work with bands rather than single figures.

Heart rate reserve is the quantity that makes the Karvonen version behave sensibly. It is simply maximum minus resting. A large reserve means a large working range, so a fixed percentage of it lands well above resting. Because the reserve shrinks as the resting rate rises, the same percentage produces a lower target for a less fit person of the same age. This is the mechanism that lets the method respond to fitness rather than to age alone.

The bands usually quoted come from a single scale. Fifty per cent of reserve is the bottom of the moderate aerobic range and eighty-five per cent is the top. Below that the work is light; above it you are moving towards the intense range where lactate rises and sustainable duration falls. The exact cut-offs differ between organisations, so they are conventions rather than hard thresholds. What matters practically is consistency: pick one convention and apply it the same way each time, so that sessions remain comparable.

Medication is the clearest limit. Beta blockers blunt the heart rate response, so a person taking them can work hard while the pulse stays low, and the formula then returns a target that is simply wrong. The same applies to some calcium channel blockers and to certain anti-arrhythmic drugs. Anyone in that position needs a clinical opinion rather than an arithmetic one. Because the pulse is chemically suppressed rather than physiologically low, perceived effort becomes a more honest guide than any formula in that setting.

Individual variation is the other limit. Age formulas perform poorly for children, whose maximums are high and variable, and for trained endurance athletes, whose resting rates can sit in the forties. Heat, altitude, caffeine, illness and fatigue all shift the pulse on any given day. A single number cannot represent all of that, and it was never intended to. The sensible response is to compare readings against your own recent history rather than against a published table.

Finally, the calculation is a planning tool rather than a medical test. It tells you roughly where a training band sits; it does not diagnose anything, and it cannot tell you whether exercise is safe for you. If you have a heart condition, symptoms on exertion, or a family history that concerns you, the number worth seeking is a clinician's rather than a formula's. Used within those limits, the arithmetic is genuinely useful: it turns a vague intention to train moderately into a figure you can check in ten seconds.

Formula

Target = Resting + (Max - Resting) x Intensity

The reserve-based method. Take the share of the reserve first, then add the resting rate back as the baseline.

SymbolMeaning
HRrestResting heart rate
HRmaxEstimated maximum heart rate
ITraining intensity

Max = 220 - Age (Tanaka: Max = 208 - 0.7 x Age)

A population average, not an individual measurement. The Tanaka variant is flatter and gives a lower figure at younger ages.

SymbolMeaning
ageAge in years
220Intercept of the classic estimate
HRmaxEstimated maximum heart rate

Target = Max x Intensity

The simpler convention. It ignores the resting rate entirely, so it sits lower than Karvonen whenever resting rate is below roughly a fifth of the maximum.

SymbolMeaning
HRmaxEstimated maximum heart rate
ITraining intensity
HRtargetTarget heart rate

How To Calculate Target Heart Rate

  1. 1

    Measure the resting heart rate properly

    Take the pulse for a full minute while still lying in bed, before coffee or movement. A rate taken after climbing stairs is not a resting rate, and using one inflates the reserve and shifts every later figure. Averaging several mornings gives a more stable number than any single reading.

  2. 2

    Estimate the maximum from age

    220 minus age gives a working figure; the Tanaka version, 208 minus 0.7 times age, gives another. They disagree, so record which one you used, because the choice moves the final target.

  3. 3

    Subtract resting from maximum to get the reserve

    For 30 years and a resting rate of 60 the estimate is 190 and the reserve is 190 - 60 = 130. This reserve, not the maximum, is what the intensity percentage applies to.

  4. 4

    Apply the intensity to the reserve and add it back

    Seventy per cent of 130 is 91, and 60 + 91 = 151. Adding the resting rate back is what distinguishes Karvonen from a plain percentage of the maximum.

  5. 5

    Compare with the band and sanity-check

    The same reserve gives 125 at 50 per cent and 170.5 at 85 per cent, so a target of 151 sits comfortably inside the moderate range. If a figure falls outside the band, recheck the units before trusting it. Bands are more forgiving than a single point, which is precisely why they are quoted as ranges.

Examples

Example 1: A 30-year-old at 70 per cent of reserve

Age
30
Resting heart rate
60
Intensity
70 per cent
StepCalculationResult
Estimated maximum heart rate220 - 30190
Heart rate reserve190 - 60130
Target heart rate, Karvonen60 + 130 x 0.7151

Result: 151 beats per minute at 70 per cent of reserve, built from an estimated maximum of 190 and a reserve of 130.

Example 2: Karvonen against percentage of maximum

Age
30
Resting heart rate
60
Intensity
70 per cent
StepCalculationResult
Karvonen target60 + (190 - 60) x 0.7151
Percentage-of-maximum target190 x 0.7133
Gap between the two151 - 13318

Result: The two conventions disagree by 18 beats per minute: Karvonen gives 151, while taking 70 per cent of the maximum gives 133.

Example 3: Two estimates of the same maximum

Age
30
StepCalculationResult
Classic age estimate220 - 30190
Tanaka estimate208 - 0.7 x 30187
Difference between them190 - 1873

Result: At 30 the two estimates sit 3 beats apart, and the gap widens with age, so the maximum you assume quietly sets the whole result.

Calculator

Target heart rate

151

Estimated maximum heart rate
190
Heart rate reserve
130
Bottom of the aerobic band (50 per cent)
125
Top of the aerobic band (85 per cent)
170.5

Values update as you type. This calculator covers the single scenario its formula assumes — see Common Mistakes for what it leaves out.

Prefer a full-width tool? Open the Target Heart Rate calculator page.

Common Mistakes

  • Treating an estimated maximum as a measured one

    220 minus age is an average, with a spread of roughly ten beats either way. Quoting a target to the nearest beat implies a precision the estimate cannot support, and a real maximum can only come from a supervised test. The gap between the two published estimates is already 3 beats at age 30, and it widens as age rises.

  • Multiplying intensity by the maximum while calling it Karvonen

    These are different methods. Karvonen applies the percentage to the reserve and adds the resting rate back; taking the percentage of the maximum directly gives 133 rather than 151 at the same inputs, a gap of 18 beats. A target published without its method cannot be checked against another, which is how the two get conflated.

  • Measuring the resting rate when not truly at rest

    A pulse taken after walking, coffee or a rushed morning is elevated, and because it enters the reserve directly the error propagates into every band. Take it lying down, before getting up, and average a few days. A single high morning reading is usually noise rather than a change in fitness.

  • Applying an age formula to children or trained athletes

    Maximum heart rate in children is high and highly variable, and endurance athletes often have resting rates in the forties. The linear age rule was fitted to ordinary adults, so for these groups it is a poor guide. A measured maximum, or simply perceived effort, is a better anchor than the age rule for them.

  • Reading a watch as if it were a medical measurement

    Wrist optical sensors drift with motion, cold skin and poor contact, and they lag sudden changes. A consumer reading is fine for a training band but is not a clinical measurement, and it should not be treated as one. Use it to steer a session rather than to draw conclusions about heart health.

FAQ

What is the difference between the Karvonen method and percentage of maximum?

Karvonen applies the intensity to the heart rate reserve and adds the resting rate back, while the percentage-of-maximum method scales the maximum directly. For a resting rate of 60 and 70 per cent intensity they give 151 and 133, so the two are not interchangeable and the method should always be named. When in doubt, quote the resting rate and the intensity alongside the figure, because those two inputs pin down which route was taken.

Where does 220 minus age come from, and how accurate is it?

It is an empirical fit to population data rather than a law, with an individual spread of roughly ten beats. The Tanaka formula, 208 minus 0.7 times age, is a later and slightly flatter fit, and at 30 it returns 187 against the classic 190. Neither is exact for an individual, so the honest use is to treat the estimate as the centre of a range rather than a fixed ceiling.

How should I measure resting heart rate?

Take a full minute of beats while still lying down, before getting out of bed, and repeat over several days to average out noise. A rate taken after activity is not resting and will shift the reserve and every band derived from it. Morning readings gathered across a week are far more stable than any single measurement, and they make changes in fitness visible over time.

Do medications change the calculation?

Yes. Beta blockers and some other cardiac drugs hold the heart rate down, so the pulse no longer tracks effort in the usual way and the formula returns a misleading target. In that situation the useful guidance comes from a clinician, not from arithmetic. The calculation assumes an intact heart rate response, and that is exactly the assumption these drugs break.

Is a target heart rate the same as a safe heart rate?

No. A target is a training planning figure derived from estimates, not a safety limit or a diagnosis. It cannot establish whether exercise is appropriate for you, and any concern about the heart belongs with a qualified clinician. It also cannot account for symptoms, which are a better signal than any number when something feels wrong.

References

  1. [1]Wikipedia, Heart rate — https://en.wikipedia.org/wiki/Heart_rate
  2. [2]Wikipedia, Heart rate reserve — https://en.wikipedia.org/wiki/Heart_rate_reserve
  3. [3]Wikipedia, Aerobic exercise — https://en.wikipedia.org/wiki/Aerobic_exercise