Target Heart Rate Formula

Health Formula • Published on July 30, 2026 • Last updated July 30, 2026

Mathematical Equation

$$\begin{aligned} \text{Tanaka (Max HR)} \quad &MHR = 208 - (0.7 \times \text{age}) \\ \text{Haskell \& Fox (Max HR)} \quad &MHR = 220 - \text{age} \\ \text{Karvonen (Target HR)} \quad &\text{Target HR} = ((MHR - \text{Resting HR}) \times \text{\%Intensity}) + \text{Resting HR} \end{aligned}$$

Variable Definitions

age

Age in years

MHR

Estimated Maximum Heart Rate in beats per minute (bpm)

Resting HR

Resting heart rate in bpm, measured first thing in the morning before getting up

%Intensity

Desired training intensity as a decimal, typically 0.5-0.85 (50%-85%) for aerobic training zones

Detailed Explanation

In-Depth Guide

Key Concept

Calculating a target heart rate training zone actually involves two separate decisions: which formula to use for estimating Maximum Heart Rate (MHR), and then how to convert that MHR into an actual target zone. Haskell & Fox's "220 minus age" is the older, simpler, and most widely recognized MHR formula, but it was derived from a relatively small and non-representative sample.

Tanaka's formula (208 − 0.7×age) is a more recent, research-validated alternative developed from a meta-analysis of a much larger dataset, and tends to be considered more accurate, particularly for older adults. Once an MHR estimate is chosen, the Karvonen method converts it into a target heart rate by factoring in resting heart rate (via Heart Rate Reserve) rather than just applying a flat percentage of MHR, which produces more personalized training zones for people with different fitness levels.

How to Calculate: Step-by-Step

Estimating Max Heart Rate: 1. Choose a formula: Haskell & Fox (220 − age) for a quick, traditional estimate, or Tanaka (208 − 0.7×age) for a more research-validated estimate, especially for older adults. Calculating Target Heart Rate (Karvonen Method): 1. Measure resting heart rate (ideally first thing in the morning). 2. Subtract resting heart rate from MHR to get Heart Rate Reserve (HRR). 3. Multiply HRR by the desired training intensity (e.g., 0.7 for 70%). 4. Add resting heart rate back to the result to get the target heart rate.

Worked Calculation Example

A 40-year-old with a resting heart rate of 65 bpm, targeting 70% intensity: Max Heart Rate: - Haskell & Fox: MHR = 220 - 40 = 180 bpm - Tanaka: MHR = 208 - (0.7 × 40) = 208 - 28 = 180 bpm (both happen to agree at this age) Karvonen Target Heart Rate (using MHR = 180): - HRR = 180 - 65 = 115 - Target HR = (115 × 0.70) + 65 = 80.5 + 65 = 145.5 bpm

Common Use Cases

  • Setting heart rate training zones for aerobic and anaerobic workouts
  • Comparing max heart rate estimates across different formulas, especially for older adults
  • Personalizing training intensity using resting heart rate via the Karvonen method
  • Monitoring cardiovascular training progress over time

Frequently Asked Questions

Haskell & Fox (220 − age) is simpler and more widely known, making it fine for casual use. Tanaka (208 − 0.7×age) is generally considered more accurate, particularly for people over 40, since it was derived from a larger and more representative research sample and predicts a slightly higher max heart rate at older ages.

Two people with the same max heart rate can have very different fitness levels, reflected in their resting heart rate — a fitter person typically has a lower resting heart rate. By incorporating Heart Rate Reserve (MHR minus resting HR), the Karvonen method produces a target zone personalized to actual cardiovascular fitness, not just age.

Roughly 50-60% intensity corresponds to light aerobic activity, 60-70% to fat-burning/moderate zones, 70-85% to cardio/endurance training zones, and above 85% to high-intensity anaerobic training — the appropriate zone depends on individual fitness goals.

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