1. **State the problem:** We need to find the whole number $x$ such that 800% of $x$ equals 3,680. 2. **Write the equation:** 800% of $x$ means $800\% \times x = 3680$. 3. **Convert percentage to decimal:** 800% = $\frac{800}{100} = 8$. 4. **Rewrite the equation:** $8 \times x = 3680$. 5. **Solve for $x$:** Divide both sides by 8. $$\frac{\cancel{8} \times x}{\cancel{8}} = \frac{3680}{8}$$ 6. **Simplify:** $x = 460$. **Final answer:** The whole number is $460$.