Percentage remaining = (92 ÷ 360) × 100 ≈ <<92/360*100=25.5556>>25.56%

["# Understanding Percentage Calculation: (92 ÷ 360) × 100 ≈ 25.56%", "When solving percentage-related problems, accurate calculations are essential to ensure clarity and correctness. One common computation involves dividing a portion by a total to determine a percentage. For example, the percentage remaining when 92 out of 360 units are accounted for can be calculated with the formula:", "[\n\ ext{Percentage remaining} = \left( \frac{92}{360} \right) \ imes 100\n]", "### Step-by-Step Breakdown", "1. Divide the part by the total:\n Start by dividing 92 by 360:\n [\n \frac{92}{360} = 0.255555...\ ext{ (repeating decimal)}\n ]", "2. Convert to percentage:\n Multiply the result by 100:\n [\n 0.255555... \ imes 100 = 25.5555...%\n ]", "3. Round for practical use:\n Rounding to two decimal places, we get approximately:\n [\n \approx 25.56%\n ]", "### Why This Matters", "Understanding how percentages are calculated helps in making informed decisions in finance, data analysis, education, and daily life. In this example, knowing that about 25.56% of a value remains after using a portion allows for precise tracking of resources, inventory, or statistical data.", "### Final Answer", "[\n(92 \div 360) \ imes 100 \approx 25.56%\n]", "---", "Percentage calculations like these form the backbone of clear data communication—whether you're analyzing survey results, managing budgets, or interpreting test scores. Mastering these steps ensures accuracy and confidence in conveying numerical insights effectively."]