what is 25 of 1250

Natasha willow

less than a minute read

·

16-01-2025

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Finding a percentage of a number is a common task in many areas, from calculating discounts to determining tax amounts. This article will show you how to easily calculate 25% of 1250. We'll break it down step-by-step, making it easy to understand even if you're not a math whiz.

Understanding Percentages

Before we begin, let's refresh our understanding of percentages. A percentage is a fraction of 100. So, 25% can be written as 25/100, or 0.25 as a decimal.

Method 1: Using Decimal Conversion

This is the most straightforward method. We convert the percentage to a decimal and then multiply it by the number.

Step 1: Convert the percentage to a decimal.

25% = 25/100 = 0.25

Step 2: Multiply the decimal by the number.

0.25 * 1250 = 312.5

Therefore, 25% of 1250 is $\boxed{312.5}$

Method 2: Using Fractions

This method involves converting the percentage to a fraction and simplifying before multiplying.

Step 1: Convert the percentage to a fraction.

25% = 25/100

Step 2: Simplify the fraction.

25/100 can be simplified by dividing both the numerator and denominator by 25:

25/100 = 1/4

Step 3: Multiply the fraction by the number.

(1/4) * 1250 = 1250/4 = 312.5

Again, we find that 25% of 1250 is $\boxed{312.5}$

Method 3: Finding 10% and Scaling Up

This method is useful for mental math and understanding the relationship between percentages and the whole number.

Step 1: Find 10% of 1250.

10% of 1250 is (10/100) * 1250 = 125

Step 2: Scale up to 25%.

Since 25% is 2.5 times 10%, we multiply our result from step 1 by 2.5:

125 * 2.5 = 312.5

This confirms that 25% of 1250 is $\boxed{312.5}$

Conclusion

As you can see, there are multiple ways to calculate 25% of 1250. All methods lead to the same answer: 312.5. Choose the method that best suits your understanding and the tools you have available. Understanding these different approaches will help you solve similar percentage problems with confidence. Remember, mastering percentage calculations is a valuable skill with broad applications in everyday life and various fields.