what percent of 137 is 86

Natashya

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26-12-2024

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What Percent of 137 is 86? A Step-by-Step Guide

Finding what percent one number represents of another is a common math problem. This article will guide you through calculating what percentage 86 is of 137, step-by-step, and provide you with the tools to solve similar problems yourself. Understanding percentages is crucial in many areas, from calculating discounts to understanding financial reports.

Understanding the Problem

The question "What percent of 137 is 86?" asks us to find the percentage that 86 represents when compared to 137. In other words, we need to determine the ratio of 86 to 137 and express that ratio as a percentage.

Step-by-Step Calculation

Here's how to calculate the percentage:

1. Set up a proportion: We can represent this problem using a proportion:

   x / 100 = 86 / 137
   

   Where 'x' represents the percentage we want to find. This proportion states that 'x' is to 100 (the total percentage) as 86 is to 137.

2. Cross-multiply: To solve for 'x', cross-multiply the terms:

   137x = 86 * 100
   137x = 8600
   

3. Solve for x: Divide both sides of the equation by 137:

   x = 8600 / 137
   x ≈ 62.77
   

4. Express as a percentage: The result, approximately 62.77, represents the percentage.

Therefore, 86 is approximately 62.77% of 137.

Using a Calculator

For a quicker solution, you can use a calculator:

1. Divide 86 by 137: 86 ÷ 137 ≈ 0.6277
2. Multiply the result by 100: 0.6277 × 100 ≈ 62.77%

Alternative Method: Using Decimal Conversion

You could also solve this by first converting the fraction 86/137 into a decimal. Then, multiply the decimal by 100 to convert it into a percentage.

Practical Applications

Understanding percentage calculations is valuable in various real-world scenarios, including:

• Discounts: Determining the final price after a percentage discount.
• Tax calculations: Figuring out the amount of tax owed on a purchase.
• Financial analysis: Interpreting financial statements and calculating profit margins.
• Statistical analysis: Understanding proportions and ratios within datasets.

This detailed explanation helps you understand not only the answer but also the underlying mathematical principles. Remember, practicing similar problems will further enhance your understanding of percentage calculations.