To calculate the total \( S \), we need to evaluate both the numerator and the denominator separately.

**Numerator:**

\[ 27.4500 + 135.550.2 = 27.4500 + 135550.2 = 135577.65 \]

**Denominator:**

The denominator is the sum of the even numbers from 2 to 18, which forms an arithmetic sequence where the first term \( a = 2 \), the last term \( l = 18 \), and the common difference \( d = 2 \).

To find the sum of this sequence, use the formula for the sum of an arithmetic sequence:

\[ S_n = \frac{n}{2} \times (a + l) \]

First, find the number of terms \( n \):

For an arithmetic sequence given by \( a_n = a + (n-1) \cdot d \), set the last term to 18:

\[ 18 = 2 + (n-1) \cdot 2 \]

\[ 16 = (n-1) \cdot 2 \]

\[ n - 1 = 8 \]

\[ n = 9 \]

Now, calculate the sum:

\[ S_n = \frac{9}{2} \times (2 + 18) = \frac{9}{2} \times 20 = 90 \]

**Calculation of \( S \):**

Now divide the numerator by the denominator:

\[ S = \frac{135577.65}{90} \approx 1506.4183 \]

So, the value of \( S \) is approximately \( 1506.4183 \).