Subjects algebra

Percentage Value 994837

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1. **State the problem:** We are given that 135% of a value equals 4185 kg, and we need to find the original value. 2. **Formula and explanation:** To find the original value when given a percentage of it, use the formula: $$\text{Original value} = \frac{\text{Given value}}{\text{Percentage as a decimal}}$$ Remember, to convert a percentage to a decimal, divide by 100. 3. **Convert 135% to decimal:** $$135\% = \frac{135}{100} = 1.35$$ 4. **Set up the equation:** $$1.35 \times \text{Original value} = 4185$$ 5. **Solve for the original value:** $$\text{Original value} = \frac{4185}{1.35}$$ 6. **Show cancellation step:** $$\text{Original value} = \frac{\cancel{4185}}{\cancel{1.35}}$$ 7. **Calculate:** $$\text{Original value} = 3100$$ **Final answer:** The original value is **3100 kg**.