To calculate 15 percent of 200, we first need to understand what “percent” means. Percent is a way to express a value as a fraction of 100. So, 15 percent means 15 out of 100, or 15⁄100.
The calculation to find 15 percent of 200 is as follows:
15 percent of 200 = (15⁄100) * 200
To simplify this, we can first find 1 percent of 200, which is simply 200 divided by 100:
1 percent of 200 = 200 / 100 = 2
Then, to find 15 percent of 200, we multiply the result by 15:
15 percent of 200 = 2 * 15 = 30
Therefore, 15 percent of 200 is 30.
Calculation Breakdown

- Step 1: Understand that “percent” means “out of 100”.
- Step 2: Convert the percentage to a decimal by dividing by 100 (15⁄100 = 0.15).
- Step 3: Multiply the decimal form of the percentage by the number in question (0.15 * 200 = 30).
Alternative Calculation Method
You can also calculate 15 percent of 200 directly by converting the percentage to a decimal and then multiplying:
15% = 15⁄100 = 0.15
Then,
0.15 * 200 = 30
Both methods yield the same result: 15 percent of 200 equals 30.
Key Points
- To find a percentage of a number, convert the percentage to a decimal by dividing by 100.
- Multiply the decimal form of the percentage by the number to find the percentage of that number.
- 15 percent of 200 equals 30, as calculated through either conversion to decimal and multiplication or by first finding 1 percent and then multiplying by 15.
In conclusion, understanding percentages and how to calculate them is a fundamental skill in mathematics, applicable in various real-world scenarios such as calculating discounts, interest rates, and statistical analysis. The method of finding a percentage of a number by converting the percentage to a decimal and then multiplying it by the number is straightforward and universally applicable.
How do you calculate 15 percent of a number?
+To calculate 15 percent of a number, convert 15 percent to a decimal by dividing by 100 (15⁄100 = 0.15), and then multiply this decimal by the number in question.
What is the result of calculating 15 percent of 200?
+The result of calculating 15 percent of 200 is 30.
How does understanding percentages apply to real-world scenarios?
+Understanding percentages is crucial for calculating discounts, interest rates, and performing statistical analysis, among other applications. It’s a fundamental skill that has wide-ranging applications in personal finance, business, and science.