To find out how many dirty coffee mugs there are, we can calculate 46% of the 200 coffee mugs.
First, convert the percentage to a decimal:
\[ 46% = 0.46 \]
Next, multiply the total number of coffee mugs by the decimal:
\[ 0.46 \times 200 = 92 \]
Therefore, there are 92 dirty coffee mugs at Estelle's Pancake House.