Why this conversion is worth doing

Relative humidity is a ratio, and a ratio hides its denominator. 80% tells you the air is four fifths of the way to full without telling you how big "full" is — and "full" varies by a factor of about seven between a freezing morning and a hot afternoon.

Converting to grams per cubic metre removes the denominator. Two readings in g/m³ can be compared directly, which two percentages cannot. This is the whole content of the claim that 80% in winter is drier than 40% in summer, and once you have the converter it stops being a claim and becomes arithmetic:

0°C at 80% → 3.9 g/m³
25°C at 40% → 9.2 g/m³ The winter air, at twice the percentage, is carrying well under half the water.

Working it through

Take 75°F (23.9°C) at 60%.

  1. Saturation vapour pressure at 23.9°C: 6.112 × exp(17.62 × 23.9 / (243.12 + 23.9)) = 29.6 hPa. This is the most vapour pressure that temperature can support.
  2. Actual vapour pressure: 60% of that, so 17.7 hPa, or 1,770 Pa.
  3. Density: 1,770 / (461.5 × 297.05 K) = 0.0129 kg/m³, which is 12.9 g/m³.

The capacity figure the calculator shows is step 1 carried through the same arithmetic at 100% — 21.6 g/m³ here. The gap between the two is how much more water this air could take, which is the figure behind how much water is in the air.

The reverse direction

Going from g/m³ back to a percentage is the same chain run backwards, and it is the direction you need when a datasheet, a sensor or a scientific paper gives you the density and you want to know what it would feel like. The one thing to watch: the answer is meaningless without a temperature, so the calculator keeps that input live in both directions.

Where the units come from

Grams per cubic metre is the SI-adjacent convention and what meteorological instruments report. You will also see g/kg (the mixing ratio, per kilogram of dry air) and occasionally specific humidity (per kilogram of total air, including the vapour). The three differ by under 2% at ordinary conditions, and the mixing ratio calculator covers the distinction properly.