1. **State the problem:** Malcolm lost 8 kg and now weighs 64 kg. We need to find what percentage of his original weight he lost.
2. **Identify the known values:**
- Weight lost = 8 kg
- Current weight = 64 kg
3. **Find the original weight:**
Since Malcolm lost 8 kg and now weighs 64 kg, his original weight was:
$$\text{Original weight} = 64 + 8 = 72 \text{ kg}$$
4. **Use the percentage formula:**
The percentage of the original weight lost is given by:
$$\text{Percentage lost} = \left(\frac{\text{Weight lost}}{\text{Original weight}}\right) \times 100$$
5. **Substitute the values:**
$$\text{Percentage lost} = \left(\frac{8}{72}\right) \times 100$$
6. **Simplify the fraction:**
$$\frac{8}{72} = \frac{\cancel{8}^1}{\cancel{8}^9} = \frac{1}{9}$$
7. **Calculate the percentage:**
$$\text{Percentage lost} = \frac{1}{9} \times 100 \approx 11.11\%$$
**Final answer:** Malcolm lost approximately **11.11%** of his original weight.
Weight Loss Percentage 6A5290
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