what is the 15 of 200

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15-04-2025

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What is 15% of 200? A Simple Percentage Calculation Explained

Finding a percentage of a number is a common task in many areas of life, from calculating sales tax to determining discounts. This article will clearly explain how to calculate 15% of 200, and provide different methods to help you understand the concept. We'll cover the basics and show you how to solve this and similar problems.

Understanding Percentages

A percentage is a fraction of 100. When we say "15%," we mean 15 out of 100, or 15/100. To find a percentage of a number, we essentially need to multiply that number by the percentage expressed as a decimal.

Method 1: Using Decimal Conversion

This is the most straightforward method. To convert a percentage to a decimal, divide it by 100. So, 15% becomes 0.15 (15 ÷ 100 = 0.15).

Now, multiply this decimal by the number you want to find the percentage of:

0.15 x 200 = 30

Therefore, 15% of 200 is $\boxed{30}$.

Method 2: Using Fractions

We can also express 15% as a fraction: 15/100. To find 15% of 200, we multiply:

(15/100) x 200 = 30

This simplifies to:

15 x (200/100) = 15 x 2 = 30

Again, we arrive at the answer: 15% of 200 is $\boxed{30}$.

Method 3: Using Proportions

This method is useful for understanding the relationship between the percentage and the whole. We can set up a proportion:

15/100 = x/200

Where 'x' represents 15% of 200. To solve for 'x', we cross-multiply:

100x = 15 x 200

100x = 3000

x = 3000/100

x = 30

So, 15% of 200 is $\boxed{30}$.

Real-World Applications

Understanding percentage calculations is crucial for various everyday situations. For example:

• Sales and Discounts: If an item costs $200 and is on sale for 15% off, you would save $30.
• Taxes: Calculating sales tax or other percentages on purchases.
• Tips: Determining the appropriate tip amount in a restaurant.
• Statistics: Analyzing data and interpreting percentages in reports.

Conclusion

Calculating 15% of 200 is a simple process that can be approached in multiple ways. Whether you prefer using decimal conversion, fractions, or proportions, the answer remains consistent: $\boxed{30}$. Mastering these methods will equip you to tackle a wide range of percentage calculations effectively and confidently in your daily life.