Step 1 :The problem provides the percentages of five colors of M&M's: brown, yellow, red, orange, and green. These percentages add up to 90%, so the remaining 10% must be blue.
Step 2 :We can calculate the number of blue M&M's by applying this percentage to the total number of M&M's in the bowl. The total number of M&M's is 200.
Step 3 :Using the formula for percentage, which is \( \frac{part}{whole} \times 100\% \), we can find the number of blue M&M's. In this case, the 'part' is the number of blue M&M's, the 'whole' is the total number of M&M's, and the percentage is 10%.
Step 4 :Rearranging the formula to solve for the 'part', we get \( part = \frac{percentage}{100\%} \times whole \). Substituting the given values, we get \( part = \frac{10\%}{100\%} \times 200 \).
Step 5 :Solving the equation gives us the number of blue M&M's.
Step 6 :Final Answer: There are \(\boxed{20}\) blue M&M's in the bowl.