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what is 90 of 25

what is 90 of 25

less than a minute read 05-02-2025
what is 90 of 25

Finding a percentage of a number is a common mathematical task. This article will walk you through calculating 90% of 25, explaining the process clearly and concisely. We'll cover multiple methods, making it easy to understand regardless of your mathematical background.

Understanding Percentages

Before we begin, let's quickly review what percentages represent. A percentage is a fraction of 100. For example, 90% can be written as 90/100 or 0.9 as a decimal.

Method 1: Using Decimal Multiplication

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

Steps:

  1. Convert the percentage to a decimal: 90% = 90/100 = 0.9
  2. Multiply the decimal by the number: 0.9 * 25 = 22.5

Therefore, 90% of 25 is 22.5\boxed{22.5}.

Method 2: Using Fractions

This method involves converting the percentage to a fraction and then performing the multiplication.

Steps:

  1. Convert the percentage to a fraction: 90% = 90/100
  2. Simplify the fraction (optional): 90/100 simplifies to 9/10
  3. Multiply the fraction by the number: (9/10) * 25 = 225/10
  4. Simplify the result: 225/10 = 22.5

Again, we find that 90% of 25 is 22.5\boxed{22.5}.

Method 3: Finding 10% and Scaling Up

This is a helpful mental math trick.

Steps:

  1. Find 10% of 25: 10% of 25 is 25/10 = 2.5
  2. Multiply to get 90%: Since 90% is nine times 10%, multiply 2.5 by 9: 2.5 * 9 = 22.5

This method demonstrates that 90% of 25 equals 22.5\boxed{22.5}.

Conclusion

As demonstrated by three different methods, 90% of 25 is 22.5. Understanding these methods allows you to calculate percentages efficiently, whether you prefer using decimals, fractions, or mental math techniques. Remember, mastering percentage calculations is a valuable skill in many aspects of life, from budgeting to understanding sales discounts.

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