Relative Humidity Calculator

Quick answer

The relative humidity calculator finds the relative humidity of air from its temperature and dew point using the Magnus formula.

Relative humidity
1,439.4748 %
Vapour pressure
17.0167 hPa
Saturation vapour pressure
31.6006 hPa
Indoor comfort
Too humid

Relative humidity compares how much water vapour the air holds with the maximum it could hold at that temperature. At 100% the air is saturated: fog forms and evaporation stops.

How to use the Relative Humidity Calculator

  1. Air temperature
  2. Dew point

Results update as you type, every field has its own unit menu, and everything is calculated in your browser.

How it works

Enter the air temperature and dew point.

Inputs explained

Field What to enter
Air temperature Units: °C, °F, K
Dew point Units: °C, °F, K

What each result means

  • Relative humidity = 100×6.112×exp(17.62×([Dew point])÷(243.12 + ([Dew point])))÷6.112×exp(17.62×([Air temperature])÷(243.12 + ([Air temperature])))
  • Vapour pressure = 6.112×exp(17.62×([Dew point])÷(243.12 + ([Dew point])))
  • Saturation vapour pressure = 6.112×exp(17.62×([Air temperature])÷(243.12 + ([Air temperature])))

Example values

How the main result changes when Air temperature changes and everything else stays at the example values above:

Air temperature (°C) Relative humidity (%)
12.5 659.0129
18.75 983.1009
25 1,439.4748
31.25 2,071.4059
37.5 2,932.8215
50 5,623.4887

Formula

RH = 100·e_s(T_d)/e_s(T), e_s(T) = 6.112·exp(17.62T/(243.12 + T))

Worked example

Inputs — Air temperature: 25 °C; Dew point: 15 °C.
Results — Relative humidity = 1,439.4748 %; Vapour pressure = 17.0167 hPa; Saturation vapour pressure = 31.6006 hPa; Indoor comfort = Too humid.

Key terms

Relative humidity
Ratio of actual to saturation vapour pressure.

Frequently asked questions

What is a healthy indoor humidity?

About 30–60%.

Why does RH change during the day?

Temperature changes while the water content stays similar.

Can RH exceed 100%?

Only briefly (supersaturation) before condensation.

How do I raise indoor humidity?

Use a humidifier or ventilate less in winter.

Sources

  1. NOAA / National Weather Service – Weather calculators
  2. Vaisala – Humidity conversion formulas

Cite this calculator

Speedy Calculator. (2026). Relative Humidity Calculator. Speedy Calculator. https://speedycalculator.com/calculators/physics/relative-humidity/