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what is 90 of 150

what is 90 of 150

2 min read 05-02-2025
what is 90 of 150

What is 90% of 150? A Simple Percentage Calculation Explained

Finding a percentage of a number is a common task in many areas of life, from calculating discounts to figuring out test scores. This article will explain how to calculate what 90% of 150 is, and provide a few different methods to solve this type of problem.

Understanding Percentages

A percentage is a fraction of 100. When we say "90% of 150," we're asking what amount represents 90 parts out of 100 of the number 150.

Method 1: Using Decimal Conversion

This is arguably the easiest method. To find 90% of 150, we first convert the percentage to a decimal:

  • Step 1: Divide the percentage by 100: 90 / 100 = 0.9

  • Step 2: Multiply the decimal by the number: 0.9 * 150 = 135

Therefore, 90% of 150 is 135\boxed{135}.

Method 2: Using Fractions

Percentages can also be expressed as fractions. 90% can be written as 90/100, which simplifies to 9/10.

  • Step 1: Express the percentage as a fraction: 90/100

  • Step 2: Simplify the fraction (if possible): 9/10

  • Step 3: Multiply the fraction by the number: (9/10) * 150 = 135

Again, we find that 90% of 150 is 135\boxed{135}.

Method 3: Proportion Method

This method uses ratios to solve for the unknown value. We set up a proportion:

  • Step 1: Set up a proportion: 90/100 = x/150 (where 'x' is the unknown value we're looking for)

  • Step 2: Cross-multiply: 90 * 150 = 100 * x

  • Step 3: Solve for x: 13500 = 100x => x = 13500 / 100 = 135

This confirms that 90% of 150 is 135\boxed{135}.

Real-World Applications

Understanding percentage calculations is crucial in various real-world situations. For example:

  • Sales and Discounts: If an item is 90% off, and the original price is $150, you'll save $135.
  • Test Scores: If you answered 90% of 150 questions correctly, you got 135 questions right.
  • Financial Calculations: Percentage calculations are fundamental in finance, including interest rates and investment returns.

Conclusion

Regardless of the method used, the answer remains the same: 90% of 150 is 135. Mastering these calculation methods will help you confidently tackle percentage problems in any context. Remember to choose the method you find most comfortable and efficient.

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