The formula
How to calculate maximum heart rate
Maximum heart rate is the highest rate your heart can reach during all-out effort. It is mostly determined by age and genetics, not by fitness — training makes you faster at a given heart rate rather than raising the ceiling.
The familiar 220 − age rule was never derived from a formal study; it emerged from a rough fit to scattered data in the 1970s. Tanaka's 2001 meta-analysis produced a better fit and is the version most exercise physiologists now use.
What to enter:
- Age (years)
No submit button: type and the answer moves. Your inputs end up in the link, so the page can be shared already filled in.
If an exact figure for one of the fields is not available, a careful estimate is a reasonable starting point, since the calculator recomputes instantly the moment a more accurate number is available — nothing here depends on getting every field exact on the first pass.
Why maximum heart rate matters
The formula behind maximum heart rate comes from published research rather than being invented for this page, and it is presented here exactly as it appears in the literature it is drawn from — the value of a calculator is applying it correctly and instantly, not reinventing it.
It is most useful tracked over time rather than read once — a single reading tells you where you are today, while the same calculation repeated weeks or months apart, using the same method each time, shows the direction things are actually moving in.
A single number like this is most useful placed in context rather than read in isolation. Reference ranges exist because bodies vary considerably and still count as healthy across a wide spread of values, so a result sitting outside a commonly quoted range is a prompt to look more closely rather than a verdict on its own. The same figure, tracked consistently over time, tends to say more than any single reading ever will.
In practice, this kind of figure is often calculated more than once with slightly different inputs to see how sensitive it is — trying a measurement taken this morning against one taken yesterday evening, for instance, to see how much normal daily variation actually moves the result. That habit is a good one: it builds a feel for how much a single reading can be trusted on its own before drawing any conclusion from it.
Worked example
Here is the calculation with the starting values:
- Age: 38 years
That gives:
- Tanaka estimate: 181 bpm
- Classic 220 − age: 182 bpm
- Gulati estimate, women: 173 bpm
Those starting figures exist only to show the calculation working, not as a target or a reference value to compare yourself against — replace them with your own measurements in the calculator above and the same formula applies exactly as shown.
Reading the result
Individual variation is wide — around 10–12 bpm standard deviation at any age. Two 38-year-olds can genuinely have maximums of 175 and 200, so a formula gives you a starting point rather than your number.
Where this goes wrong. Do not attempt a maximal test to find your true figure without medical clearance, particularly over 40 or with any cardiac history. A supervised test is the only reliable way, and it should be supervised for a reason.
As with any general-purpose formula, the result here is an estimate derived from population averages, not a measurement specific to you — a reasonable starting point for a conversation with a qualified professional, not a replacement for one. Nothing on this page is medical advice.
It systematically overestimates for younger adults and underestimates for older ones. Tanaka's formula tracks the actual decline better, though individual variation still dominates.
Essentially no. Training improves stroke volume, lactate threshold and efficiency, which is why you get faster — but the maximum itself is fixed and declines gradually with age.
The answer it gives you is tanaka estimate. With 38 years age, that comes to 181 bpm. Change any field and the figure moves with it.
It uses a published formula applied exactly as defined, so the arithmetic itself is precise — but the formula is a population-level estimate, and individual results can vary from it for reasons the formula has no way to account for. Treat the output as a reasonable estimate rather than a measured or diagnostic value.
For most people, yes — a single reading is a snapshot, while the same measurement repeated consistently over weeks or months shows a trend, which is generally more informative than any one figure taken in isolation.
Small differences between calculators usually come down to which published formula or reference dataset each one uses — several equations in this area exist in more than one accepted version. This page states the specific formula used in the section above, so it is possible to check directly whether another source is using the same one.