What the heat index tells you
The heat index is the “feels-like” temperature — a single number that blends the air temperature with the relative humidity to describe how hot the air actually feels to the human body. When humidity is high, sweat evaporates more slowly, and since evaporation is how your body sheds heat, a humid 90°F day can feel far hotter than a dry one. This calculator applies the exact two-stage formula the U.S. National Weather Service (NWS) uses, so the value you get matches official heat advisories rather than a rough rule of thumb.
Enter the shade air temperature and the measured relative humidity, choose Fahrenheit or Celsius, and the calculator returns the heat index together with its NWS risk category — Caution, Extreme Caution, Danger or Extreme Danger — and shows where that value sits on a category dial.
How the calculation works
The NWS method is deliberately two-stage. It first evaluates a simplified apparent-temperature approximation (the Steadman form) and averages it with the air temperature. Only if that averaged value reaches 80°F does it apply the full Rothfusz regression — a nine-term polynomial in temperature and humidity — plus two small corrections for very dry and very humid conditions:
HI = −42.379 + 2.04901523·T + 10.14333127·RH − 0.22475541·T·RH − 0.00683783·T² − 0.05481717·RH² + 0.00122874·T²·RH + 0.00085282·T·RH² − 0.00000199·T²·RH²
- T is the air temperature in degrees Fahrenheit; a Celsius entry is converted to Fahrenheit first because the coefficients are only valid in Fahrenheit.
- RH is the relative humidity as a whole-number percentage (55, not 0.55).
- When RH is below 13% (and T is 80–112°F) a small amount is subtracted; when RH is above 85% (and T is 80–87°F) a small amount is added.
Worked example
Take a hot, humid afternoon at 100°F with 55% relative humidity. The averaged simple form clears the 80°F gate, so the full Rothfusz regression runs and lands in the Danger category — the same 124°F the NWS publishes for this pair. This table is generated by the same engine the calculator uses, so it can never drift from the live result.
| Step | Value |
|---|---|
| Air temperature (T) | 100°F |
| Relative humidity (RH) | 55% |
| Steadman simple form, averaged with T | ≥ 80°F → use full regression |
| Heat index (feels-like) | 123.6°F |
| Heat index (rounded) | 124°F |
| NWS risk category | Danger |
Reading the risk categories
The NWS groups heat index values into four bands. Use them as a guide to how much to scale back outdoor activity — and remember that full sun can add up to about 15°F on top of the shade value below.
| Category | Heat index | Typical effect |
|---|---|---|
| Caution | 80–90°F (27–32°C) | Fatigue possible with prolonged exposure and activity. |
| Extreme Caution | 90–103°F (32–39°C) | Heat cramps or heat exhaustion possible with prolonged exposure. |
| Danger | 103–124°F (39–51°C) | Heat cramps and heat exhaustion likely; heat stroke possible. |
| Extreme Danger | 125°F+ (52°C+) | Heat stroke highly likely. |
Assumptions and limitations
The heat index is a general-population comfort and heat-illness index, not a medical diagnostic. Keep these limits in mind when interpreting a result:
- It assumes shade and light wind. Direct sunlight can raise the effective value by up to roughly 15°F, which the base formula does not include.
- The Rothfusz regression is only validated for roughly 80°F and above with 40%+ humidity, and is accurate to about ±1.3°F within that envelope. Outside it, this calculator caps and flags the output rather than showing an implausible number.
- It ignores wind speed, solar radiation, individual physiology, hydration and acclimatization. Children, older adults and people with certain health conditions face elevated risk at lower values.
- For cold, windy weather the relevant “feels-like” measure is wind chill, a separate formula — heat index only applies to warm conditions.
Staying ahead of heat stress is partly about hydration; our water intake calculator estimates a daily target, and if you are gauging overall fitness alongside heat tolerance the BMI calculator and BMR calculator give useful context.
Frequently asked questions
What is the heat index and how is it different from the actual temperature?+
The heat index — often called the 'feels-like' temperature — combines air temperature and relative humidity into a single number that reflects how hot it actually feels to the human body. High humidity slows the evaporation of sweat, which is the body's main cooling mechanism, so on humid days it can feel much hotter than the thermometer reading alone suggests. This calculator uses the official National Weather Service (NWS) formula, so a reading of 100F air temperature and 55% humidity comes out to a heat index of about 124F.
What formula does this heat index calculator use?+
It uses the NWS's two-stage algorithm: first a simplified Steadman approximation is computed and averaged with the air temperature; if that averaged value is 80F or higher, the full Rothfusz regression equation (a nine-term polynomial in temperature and humidity) is applied, along with two conditional corrections for very low humidity and very high humidity. Below about 80F, the simplified form alone is returned because the feels-like temperature is close to the actual air temperature.
Why does the heat index formula have extra adjustments for low and high humidity?+
The core Rothfusz regression was fit to Steadman's apparent-temperature tables and is slightly less accurate at the humidity extremes. The NWS adds a subtractive correction when relative humidity is below 13% (and temperature is between 80F and 112F) and an additive correction when humidity is above 85% (and temperature is between 80F and 87F), to keep the output aligned with the underlying physical model in those edge conditions.
How accurate is the heat index calculation?+
The Rothfusz regression is stated to be accurate to within about plus or minus 1.3 degrees Fahrenheit (0.7 degrees Celsius) of Steadman's original apparent-temperature model, within its valid range of roughly 80F and above with humidity of 40% or higher. Outside that range, the raw polynomial becomes less reliable, which is why the NWS gates it behind the 80F check rather than applying it universally.
What are the NWS heat index risk categories?+
The National Weather Service defines four categories based on the heat index: Caution (80-90F) with possible fatigue on prolonged exposure; Extreme Caution (90-103F) with possible heat cramps or heat exhaustion; Danger (103-124F) with likely heat cramps, heat exhaustion and possible heat stroke; and Extreme Danger (125F or higher) with a high risk of heat stroke. This calculator shows which category your result falls into.
Does direct sunlight change the heat index?+
Yes. The heat index formula assumes shady, relatively calm-wind conditions. According to the NWS, full exposure to direct sunlight can increase the effective heat index value by up to about 15 degrees Fahrenheit. If you are working or exercising outdoors in full sun, treat the calculated value as a conservative (lower) estimate of how hot it actually feels.
Can I enter temperature in Celsius instead of Fahrenheit?+
Yes. Toggle the unit to Celsius and enter your reading directly — the calculator converts to Fahrenheit internally (since the NWS formula's coefficients are defined for Fahrenheit and whole-number humidity percentages), runs the full staged calculation, and converts the result back to Celsius for display, without losing precision in the round trip.
Why did my heat index result show a warning at very extreme inputs?+
The Rothfusz regression is a curve fit valid for roughly 80F and above with 40% or higher humidity; it has no natural upper bound built in, so at extreme combinations (such as very high temperature with 100% humidity) the raw polynomial can produce a physically implausible number. This calculator caps and flags results in that corner case rather than displaying an unclamped, meaningless figure — real-world conditions rarely reach that extreme combination.
How is heat index different from wind chill?+
Heat index and wind chill are opposite ends of the 'feels-like' spectrum: heat index describes how hot warm, humid air feels to the body (humidity slows sweat evaporation), while wind chill describes how cold windy, cold air feels (wind accelerates heat loss from skin). They use entirely different formulas and are never combined into a single 'feels-like' number — you use heat index in hot weather and wind chill in cold weather.
Is the heat index the same as what a weather app shows as 'feels like'?+
In hot weather, most weather apps' 'feels like' or 'real feel' figure is based on the same NWS heat index methodology (or a very similar humidity-based model), so it should be close to what this calculator produces for the same temperature and humidity. Small differences can occur if the app also factors in wind speed or a proprietary adjustment on top of the base heat index.
Who is most at risk from a high heat index?+
Older adults, young children, people with chronic heart or respiratory conditions, outdoor workers and athletes, and anyone without reliable access to air conditioning face elevated risk at a given heat index. The NWS categories describe general population risk, not a guarantee for any individual — if you fall into one of these higher-risk groups, take extra precaution even at the lower end of the Caution range.
What should I do when the heat index reaches the Danger or Extreme Danger category?+
Limit strenuous outdoor activity, stay in air-conditioned spaces where possible, drink water regularly, wear light-colored breathable clothing, and check on children, older adults and pets who cannot regulate their own exposure. This calculator is a general educational guide, not medical advice — follow official heat-advisory guidance from your local weather service during extreme heat events.
Disclaimer
Sources
- NOAA Weather Prediction Center — The Heat Index Equation (official Rothfusz regression, coefficients and two-stage gate)
- NOAA Weather Prediction Center — Heat Index details and equation adjustments
- National Weather Service (Amarillo) — Heat Index worked example and risk-category thresholds
Formula and data last reviewed by the TheCalculatorHive team on 7 July 2026. Figures are for general information, not professional advice.
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