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**.
Percentage Of Number 7D39C7
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.