year to day Converter - Year to Day

Conversion derivation

Express both year and day in the same base unit s (second), then cancel the shared base unit.

1. 1

   Rewrite year in the base unit

   $$1\mathrm{year}=31,556,952\mathrm{s}$$
2. 2

   Rewrite day in the base unit

   $$1\mathrm{day}=86,400\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{year}& =\frac{31,556,952\cancel{\mathrm{s}}}{86,400\cancel{\mathrm{s}}}\times 1\mathrm{day}\\ & =\frac{31,556,952}{86,400}\mathrm{day}\\ & =365.2425\mathrm{day}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{day}& =\frac{86,400\cancel{\mathrm{s}}}{31,556,952\cancel{\mathrm{s}}}\times 1\mathrm{year}\\ & =\frac{86,400}{31,556,952}\mathrm{year}\\ & =0.002737907007\mathrm{year}\end{array}$$