Subjects algebra

Percentage Values

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Percentage Values


**Problem 1:** 12% of 72 is what number? 1. This is a percentage problem where the percentage is 12%, the base is 72, and we need to find the rate (the part). 2. Use the formula: $$\text{rate} = \frac{\text{percentage} \times \text{base}}{100}$$ 3. Calculate: $$\frac{12 \times 72}{100} = \frac{864}{100} = 8.64$$ 4. So, 12% of 72 is **8.64**. **Problem 2:** 2.05 is what percent of 82? 1. Here, 2.05 is the rate, 82 is the base, and we find the percentage. 2. Use the formula: $$\text{percentage} = \frac{\text{rate}}{\text{base}} \times 100$$ 3. Calculate: $$\frac{2.05}{82} \times 100 \approx 2.5\%$$ 4. So, 2.05 is approximately **2.5%** of 82. **Problem 3:** What percent of 48 is 6? 1. Rate is 6, base is 48, find percentage. 2. Formula: $$\text{percentage} = \frac{\text{rate}}{\text{base}} \times 100$$ 3. Calculate: $$\frac{6}{48} \times 100 = 12.5\%$$ 4. So, 6 is **12.5%** of 48. **Problem 4:** 8% of a number is 15.6. What is the number? 1. Percentage is 8%, rate is 15.6, find base. 2. Use the formula: $$\text{base} = \frac{\text{rate} \times 100}{\text{percentage}}$$ 3. Calculate: $$\frac{15.6 \times 100}{8} = \frac{1560}{8} = 195$$ 4. The number is **195**. **Problem 5:** What is 6% of 400? 1. Percentage is 6%, base is 400, find rate. 2. Formula: $$\text{rate} = \frac{\text{percentage} \times \text{base}}{100}$$ 3. Calculate: $$\frac{6 \times 400}{100} = \frac{2400}{100} = 24$$ 4. So, 6% of 400 is **24**.