what percent of 84 is 9

Natashya

2 min read

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23-12-2024

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Finding what percent one number represents of another is a common calculation. This article will show you how to determine what percent 9 is of 84, step-by-step, and offer some helpful tips for similar problems.

Understanding the Problem: Percent Calculations

The question "What percent of 84 is 9?" is asking us to find a percentage. A percentage is a fraction out of 100. To solve this, we'll need to set up a proportion.

Step-by-Step Solution: Finding the Percentage

Here's how to calculate what percent 9 is of 84:

1. Set up a proportion:

We can represent this problem as a proportion:

x/100 = 9/84

Where 'x' represents the percentage we want to find.

2. Cross-multiply:

Cross-multiplying the proportion gives us:

84x = 900

3. Solve for x:

To solve for 'x', divide both sides of the equation by 84:

x = 900 / 84

4. Calculate the result:

Calculating this gives us:

x ≈ 10.71

Therefore, 9 is approximately 10.71% of 84.

Alternative Method: Using Decimal Conversion

Another approach involves converting the fraction to a decimal first:

1. Divide 9 by 84: 9 ÷ 84 ≈ 0.1071

2. Convert the decimal to a percentage: Multiply the decimal by 100: 0.1071 x 100 ≈ 10.71%

This method arrives at the same answer: 9 is approximately 10.71% of 84.

Practical Applications and Further Exploration

Understanding percentage calculations is vital in many real-world situations:

• Financial calculations: Calculating discounts, interest rates, taxes, and profit margins all involve percentages.
• Data analysis: Expressing changes in data as percentages helps in understanding trends and making comparisons.
• Everyday life: Tips, sales, and many other situations require percentage calculations.

Practice with different numbers to improve your understanding. Try calculating what percent 15 is of 60, or what percent 22 is of 110. You'll quickly find that these calculations become easier with practice. Online calculators can also be a helpful tool for verification.

Conclusion: Mastering Percentage Calculations

This article demonstrated how to determine that 9 is approximately 10.71% of 84 using two different methods. Mastering percentage calculations is a valuable skill with widespread applications in various aspects of life. Remember the steps and practice regularly to solidify your understanding.