what percent of 500 is 350

Natashya

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23-12-2024

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What Percent of 500 is 350? A Step-by-Step Guide

Finding what percent 350 is of 500 is a common percentage problem. Whether you're calculating discounts, grades, or something else entirely, understanding how to solve this type of problem is essential. This article will guide you through the process, explaining the steps clearly and providing a practical example.

Understanding the Problem

The question "What percent of 500 is 350?" asks us to find the percentage that represents the relationship between 350 and 500. In other words, we need to determine what fraction of 500 is equal to 350, and then express that fraction as a percentage.

Method 1: Using a Proportion

This method is straightforward and easy to visualize. We can set up a proportion:

• Part/Whole = Percent/100

In this case:

• Part = 350
• Whole = 500
• Percent = x (what we want to find)

This gives us the proportion:

350/500 = x/100

To solve for x, we cross-multiply:

350 * 100 = 500 * x

35000 = 500x

Now, divide both sides by 500:

x = 35000 / 500

x = 70

Therefore, 350 is 70% of 500.

Method 2: Using Decimal Conversion

This method involves converting the fraction to a decimal and then multiplying by 100 to get the percentage.

1. Form a fraction: Express the problem as a fraction: 350/500

2. Simplify the fraction (optional): This step isn't strictly necessary but makes the calculation easier. Both 350 and 500 are divisible by 50: 350/50 = 7 and 500/50 = 10. This simplifies the fraction to 7/10.

3. Convert to a decimal: Divide the numerator by the denominator: 7 ÷ 10 = 0.7

4. Convert to a percentage: Multiply the decimal by 100: 0.7 * 100 = 70%

Again, we find that 350 is 70% of 500.

Practical Example

Imagine a store is having a sale. An item originally priced at $500 is now $350. To determine the discount percentage, you would use the same method: 350/500 = 70%. The store is offering a 70% discount.

Conclusion

Determining what percent one number is of another is a fundamental skill in mathematics with wide-ranging applications. Both the proportion method and the decimal conversion method provide accurate and reliable ways to solve this type of percentage problem. Remember that 350 is 70% of 500.