what percent of 16 is 8

Natashya

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22-12-2024

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What Percent of 16 is 8? A Step-by-Step Guide

Finding what percentage one number represents of another is a common math problem. Let's break down how to solve "What percent of 16 is 8?" This seemingly simple question illustrates a fundamental concept in percentage calculations.

Understanding Percentages

A percentage is simply a fraction expressed as a number out of 100. For example, 50% is equivalent to 50/100, or 1/2. When we ask "What percent of 16 is 8?", we're essentially asking: "What fraction of 16 is 8, expressed as a number out of 100?"

Method 1: Using a Proportion

This method uses a simple proportion to solve for the unknown percentage. We can set up the proportion as follows:

• Part/Whole = Percentage/100

In our problem:

• Part = 8 (the number we're interested in)
• Whole = 16 (the total number)
• Percentage = x (the unknown percentage we need to find)

Substituting these values into our proportion, we get:

8/16 = x/100

To solve for x, we can cross-multiply:

16x = 800

Then, divide both sides by 16:

x = 50

Therefore, 8 is 50% of 16.

Method 2: Using a Decimal and Percentage Conversion

This method involves first finding the decimal representation of the fraction, and then converting it to a percentage.

1. Find the decimal: Divide the part by the whole: 8 ÷ 16 = 0.5

2. Convert to percentage: Multiply the decimal by 100: 0.5 x 100 = 50%

Again, we find that 8 is 50% of 16.

Method 3: Mental Math (for simpler problems)

Notice that 8 is exactly half of 16. Since half is equivalent to 50/100, or 50%, we can instantly determine that 8 is 50% of 16. This method works best for simpler problems where the relationship between the numbers is easily discernible.

In Conclusion:

There are several ways to solve the problem "What percent of 16 is 8?". Whether you use proportions, decimal conversions, or mental math, the answer remains the same: 8 represents 50% of 16. Understanding these methods will equip you to solve a wide variety of percentage problems.