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Calcimator

Humidity Calculator

Calculate relative humidity from temperature and dew point. Understand comfort levels and weather conditions.

About this calculator

Relative humidity is the ratio of how much water vapor the air actually holds to how much it could hold at its current temperature before condensing, expressed as a percentage. This calculator gets both figures from the Magnus formula, a widely used meteorological approximation for saturation vapor pressure (with coefficients 17.67 and 243.5 degrees C, the specific variant published by meteorologist David Bolton in a 1980 Monthly Weather Review paper and since adopted as NOAA's standard formulation): it evaluates the formula once at the air Temperature to get how much vapor the air COULD hold, and again at the Dew Point (the temperature at which the air's actual moisture content would saturate) to get how much vapor it DOES hold. Relative Humidity is simply the second figure divided by the first.

Because warmer air can hold exponentially more moisture, raising Temperature while holding Dew Point fixed always lowers Relative Humidity, and raising Dew Point while holding Temperature fixed always raises it. The Comfort Level label applies simple thresholds to the result: under 30% reads as "Dry," over 60% reads as "Humid," and the range in between reads as "Comfortable" -- useful for interpreting a hygrometer or weather station reading, not a precise physiological comfort model.

Inputs

°F
°F

Results

Relative Humidity

52.5%

Comfort LevelComfortable

Figures current as of 1980. Source: Bolton, D. The Computation of Equivalent Potential Temperature. Monthly Weather Review. 1980;108(7):1046-1053.

How to Use This Calculator
  1. Enter the Air Temperature in your preferred unit.
  2. Set the Dew Point temperature.
  3. Review the calculated Relative Humidity (%) and Comfort Level classification.
  4. Use this to interpret weather station data or calibrate hygrometers.

How the result changes with Temperature

TemperatureRelative Humidity
10100%
1572%
3028.9%
509.9%

What each input means

Temperature
Air temperature in Celsius.
Dew Point
Dew point temperature in Celsius.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    Temperature = 20, Dew Point = 10 = 2 input(s) provided
  2. Calculate Relative Humidity
    Relative Humidity
    52.5 = 52.5%
  3. Calculate Comfort Level
    Comfort Level
    Comfortable = Comfortable

Figures and sources

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does relative humidity drop as the air temperature rises?

Relative humidity compares how much moisture the air actually holds (fixed by the Dew Point) to how much it COULD hold at the current Temperature. Warmer air can hold exponentially more water vapor before saturating, so if the actual moisture content (dew point) doesn't change, a rising temperature makes the air's saturation capacity climb faster than its actual moisture content -- which is exactly why relative humidity falls on a hot, dry afternoon even though the absolute amount of moisture in the air hasn't changed.

What is the Magnus formula this calculator uses?

The Magnus formula is a widely used meteorological approximation for saturation vapor pressure as a function of temperature: es = 6.112 x exp(17.67 x T / (T + 243.5)), with T in degrees Celsius. These specific coefficients come from David Bolton, "The Computation of Equivalent Potential Temperature," Monthly Weather Review, 1980 — the variant NOAA cites as its standard formulation, accurate to about 0.1% across the -30 to 35 degrees C range. This calculator evaluates it once at the entered temperature and once at the entered dew point, then divides the two results to get relative humidity. It's an approximation, not an exact physical law.

What does it mean if the dew point equals the air temperature?

When Dew Point and Temperature are equal, the saturation vapor pressure formula evaluates to the same value for both, so Relative Humidity comes out to exactly 100% -- the air is fully saturated and can't hold any more moisture without water condensing out (which is exactly why dew, fog, or precipitation forms when the two converge).

How is Comfort Level determined from the humidity percentage?

This calculator applies two simple cutoffs to the calculated Relative Humidity: below 30% is labeled "Dry," above 60% is labeled "Humid," and anything in between is labeled "Comfortable." These are simplified round-number thresholds meant to give a quick read on a weather station or hygrometer value, not a detailed thermal-comfort model that also accounts for temperature, air movement, or activity level.

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