Methane has the molecular formula:
\[
\text{CH}_4
\]
The atomic mass of carbon is:
\[
12
\]
The atomic mass of hydrogen is:
\[
1
\]
Since methane contains four hydrogen atoms, the total mass of hydrogen is:
\[
4 \times 1 = 4
\]
So the molecular mass of methane is:
\[
12 + 4 = 16
\]
Now the mass of carbon present in one mole of methane is:
\[
12
\]
Therefore, percentage of carbon in methane is:
\[
\frac{12}{16} \times 100
\]
\[
= 75%
\]
Hence, the percentage composition of carbon in methane is:
\[
\boxed{75%}
\]