1. **Stating the problem:** A stock first loses 80% of its value, then it loses 90% of the remaining value. We want to find the total loss percentage from the original value after both losses. 2. **Understanding the problem:** If the original value is $V$, after an 80% loss, the value becomes $V \times (1 - 0.80) = V \times 0.20$. 3. After the second loss of 90%, the value becomes $V \times 0.20 \times (1 - 0.90) = V \times 0.20 \times 0.10 = V \times 0.02$. 4. **Calculating total loss:** The final value is $0.02V$, so the total loss is the original value minus the final value: $V - 0.02V = 0.98V$. 5. **Converting to percentage:** The total loss percentage is $$\frac{0.98V}{V} \times 100 = 98\%.$$ **Answer:** The total loss percentage after both losses is 98%.