Let's name some variables:
d: thickness of film; we're solving for this variable
λ: wavelength of light (in micrometers); λ = 0.46843 μm
n: refractive index; n = 1.16
Given these known and unknown variables, we can solve for d using the following:
λ = 4nd
Now all we have to do is plug in the variables we know:
0.46843 = 4*1.16*d
d = 0.46843/(4*1.16)
d = 0.10095 μm = 100.95 nm