1. The problem asks to find 50% of 820. 2. The formula to find a percentage of a number is: $$\text{Percentage value} = \frac{\text{Percentage}}{100} \times \text{Total number}$$ 3. Here, the percentage is 50 and the total number is 820. 4. Substitute the values into the formula: $$\frac{50}{100} \times 820$$ 5. Simplify the fraction: $$\frac{\cancel{50}}{\cancel{100}} \times 820 = \frac{1}{2} \times 820$$ 6. Multiply: $$\frac{1}{2} \times 820 = 410$$ 7. Therefore, 50% of 820 is 410.