Subjects algebra

Percentage Of Number D246F4

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Percentage Of Number D246F4


1. **State the problem:** We need to find the number for which 36 is 30% of it. 2. **Formula:** To find a number when a percentage of it is given, use the formula: $$\text{Part} = \frac{\text{Percent}}{100} \times \text{Whole}$$ Here, Part = 36, Percent = 30, and Whole is the unknown number. 3. **Set up the equation:** $$36 = \frac{30}{100} \times \text{Whole}$$ 4. **Solve for Whole:** Multiply both sides by 100 to get rid of the denominator: $$36 \times 100 = 30 \times \text{Whole}$$ $$3600 = 30 \times \text{Whole}$$ Divide both sides by 30: $$\text{Whole} = \frac{3600}{30} = 120$$ 5. **Answer:** The number is 120.