Subjects algebra

Percentage Of Number 7D39C7

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1. **State the problem:** We need to find the number of which 35 is 70%. 2. **Formula:** To find a number when a percentage of it is known, use the formula: $$\text{Part} = \frac{\text{Percent}}{100} \times \text{Whole}$$ Here, Part = 35, Percent = 70, and Whole is the unknown number. 3. **Set up the equation:** $$35 = \frac{70}{100} \times x$$ 4. **Solve for $x$:** Multiply both sides by the reciprocal of $\frac{70}{100}$: $$x = 35 \times \frac{100}{70}$$ 5. **Simplify:** $$x = 35 \times \frac{100}{70} = 35 \times \frac{10}{7}$$ 6. **Calculate:** $$x = \cancel{35} \times \frac{10}{\cancel{7}} = 5 \times 10 = 50$$ **Final answer:** The number is **50**.