← Evidence Lab Cosmic Inventory Mathematics

From model parameters to percentages

How are the cosmic percentages calculated?

The percentages on the homepage are not four direct meter readings. They are a compact representation of parameters inferred by fitting a cosmological model to observations. This page exposes the conversion from the commonly quoted physical densities ω = Ωh² to the fractional density parameters Ω.

Important: this calculator reproduces the parameter conversion and flat-universe closure arithmetic. It does not rerun the Planck likelihood, Boltzmann solver or CMB parameter inference.

Interactive reference

Change the inputs

Start from a Planck-2018-like base ΛCDM reference. Change H₀ or the physical densities and see how the fractions move.

Radiation0.01%
Ordinary matter4.9%
Cold dark matter26.4%
Dark energy / closure term68.7%
Step 1

Convert H₀ into h

Cosmological tables often quote the dimensionless Hubble parameter:

h = H₀ / 100
h = 0.674
Step 2

Convert physical densities

Planck-style tables quote ωb and ωcdm. The corresponding fractional densities are Ω = ω/h².

Ωb = ωb / h²
Ωcdm = ωcdm / h²
Ωr = ωr / h²
Step 3

Use flat-universe closure

For the simplified flat reference used on the homepage, the remaining budget is assigned to the cosmological-constant term.

ΩΛ = 1 − Ωb − Ωcdm − Ωr

Closure check: 1.000000

Sources and provenance

Where do the fitted inputs come from?

The numerical inputs are representative of the final Planck 2018 base-ΛCDM cosmological-parameter analysis. The exact posterior values depend on the dataset combination and neutrino convention; the homepage intentionally displays rounded pedagogical buckets.