A pet shop offers an iguana for $\color[rgb]{0.35,0.35,0.35}\$80$ and a parakeet for $\color[rgb]{0.35,0.35,0.35}\$40$. During a sale, Chris bought the iguana at a $\color[rgb]{0.35,0.35,0.35}40\%$ discount and the parakeet at a $\color[rgb]{0.35,0.35,0.35}55\%$ discount. The total amount saved on Chris’s new pets was what percent of the total of their original prices?