To find 15% of 70, we need to multiply 70 by 0.15.
70 * 0.15 = 10.5
So, 15% of 70 is 10.5.
Here’s a step-by-step breakdown:
- Convert the percentage to a decimal: 15% = 0.15
- Multiply the number by the decimal: 70 * 0.15 = 10.5
You can also use a calculator or a mathematical formula to find the answer. Here’s a simple formula:
15% of 70 = (15⁄100) * 70 = 0.15 * 70 = 10.5
Either way, the answer is the same: 15% of 70 is 10.5.
Understanding Percentages
Percentages are used to represent a proportion or a fraction of a whole as a number out of 100. In this case, 15% represents 15 out of 100, or 0.15 as a decimal.To calculate a percentage of a number, you can use the following formula:
Percentage of Number = (Percentage / 100) * Number
For example, to find 20% of 50, you would calculate:
(20 / 100) * 50 = 0.20 * 50 = 10
So, 20% of 50 is 10.
Real-World Applications
Percentages have many real-world applications, including:- Discounts and sales: When you see a sign that says “15% off,” it means you’ll get 15% of the original price deducted from the total.
- Grades and scores: Percentages are often used to represent grades or scores, such as 85% on a test.
- Finance and banking: Percentages are used to calculate interest rates, investments, and loans.
- Science and statistics: Percentages are used to represent data and trends in science and statistics.
In each of these cases, understanding how to calculate percentages is essential to making informed decisions or interpreting data.
| Percentage | Decimal Equivalent | Example Calculation |
|---|---|---|
| 15% | 0.15 | 15% of 70 = 0.15 * 70 = 10.5 |
| 20% | 0.20 | 20% of 50 = 0.20 * 50 = 10 |
| 25% | 0.25 | 25% of 100 = 0.25 * 100 = 25 |
Key Points
- To find 15% of 70, multiply 70 by 0.15, which equals 10.5.
- Percentages can be converted to decimals by dividing by 100.
- The formula to calculate a percentage of a number is: (Percentage / 100) * Number.
- Percentages have many real-world applications, including discounts, grades, finance, and science.
- Practice converting between percentages and decimals to become proficient in calculations.
What is the formula to calculate a percentage of a number?
+The formula to calculate a percentage of a number is: (Percentage / 100) * Number. For example, to find 15% of 70, you would calculate: (15 / 100) * 70 = 0.15 * 70 = 10.5.
How do I convert a percentage to a decimal?
+To convert a percentage to a decimal, divide the percentage by 100. For example, 15% is equal to 0.15, and 20% is equal to 0.20.
What are some real-world applications of percentages?
+Percentages have many real-world applications, including discounts and sales, grades and scores, finance and banking, and science and statistics. Understanding how to calculate percentages is essential to making informed decisions or interpreting data in these fields.