1. **State the problem:** Find 315% of 4600. 2. **Formula:** To find a percentage of an amount, use the formula: $$\text{Percentage of amount} = \text{Decimal multiplier} \times \text{Amount}$$ 3. **Convert percentage to decimal:** 315% means 315 per 100, so $$315\% = \frac{315}{100} = 3.15$$ 4. **Calculate:** Multiply the decimal multiplier by the amount: $$3.15 \times 4600$$ 5. **Intermediate step:** $$\cancel{3.15} \times 4600 = 3.15 \times 4600$$ 6. **Perform multiplication:** $$3.15 \times 4600 = 14490$$ 7. **Answer:** 315% of 4600 is **14490**.