Calculate relative humidity \(RH\) (%) from actual and saturation values of vapor pressure, mixing ratio, specific humidity, or absolute humidity.
Details
Relative humidity \(RH\) (%) quantifies the air’s proximity to saturation. It is calculated using the formula:
$$RH = \frac{e}{e_s} \cdot 100 \approx \frac{w}{w_s} \cdot 100 \approx \frac{q}{q_s} \cdot 100 \approx \frac{\rho_v}{\rho_{vs}} \cdot 100$$
where \(e, w, q, \rho_v\) is the actual value and \(e_s, w_s, q_s, \rho_{vs}\) is the corresponding saturation value of vapor pressure, mixing ratio, specific humidity, or absolute humidity.
References
Davis, Robert E., Glenn R. McGregor, and Kyle B. Enfield. “Humidity: A Review and Primer on Atmospheric Moisture and Human Health.” Environmental Research 144 (January 2016): 106–16. https://doi.org/10.1016/j.envres.2015.10.014.