Subjects algebra

Percentage Difference 32Bd56

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Question: what is the percentage difference $368,900$ divided $344,700$
1. **State the problem:** We need to find the percentage difference between $368,900$ and $344,700$. 2. **Formula:** The percentage difference between two numbers $A$ and $B$ is given by: $$\text{Percentage Difference} = \frac{|A - B|}{\frac{A + B}{2}} \times 100$$ 3. **Calculate the difference:** $$|368,900 - 344,700| = 24,200$$ 4. **Calculate the average:** $$\frac{368,900 + 344,700}{2} = \frac{713,600}{2} = 356,800$$ 5. **Calculate the fraction:** $$\frac{24,200}{356,800}$$ 6. **Simplify the fraction:** $$\frac{\cancel{24,200}}{\cancel{356,800}} = \frac{242}{3,568}$$ (dividing numerator and denominator by 100) 7. **Calculate the decimal value:** $$\frac{24,200}{356,800} \approx 0.0678$$ 8. **Convert to percentage:** $$0.0678 \times 100 = 6.78\%$$ **Final answer:** The percentage difference between $368,900$ and $344,700$ is approximately **6.78\%**.