3 is what percent of 20

Guri Bee

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22-10-2024

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Unveiling Percentages: 3 is What Percent of 20?

Understanding percentages is a fundamental skill in everyday life, from calculating discounts to analyzing financial reports. Let's explore how to figure out what percentage 3 represents of 20.

Understanding Percentages

A percentage is a fraction out of 100. So, 50% means 50 out of 100, which is equivalent to 0.50.

The Calculation

There are two common ways to calculate the percentage:

1. The Proportion Method

   • Set up the proportion: We know 3 is a part of 20, and we want to find the equivalent fraction out of 100. This can be written as:
     • 3/20 = x/100
   • Solve for x: Cross-multiply to find x:
     • 3 * 100 = 20 * x
     • 300 = 20x
     • x = 300 / 20 = 15
   • Therefore, 3 is 15% of 20.

2. The Decimal Method

   • Divide the part by the whole: Divide 3 by 20:
     • 3 / 20 = 0.15
   • Multiply by 100: Convert the decimal to a percentage by multiplying by 100:
     • 0.15 * 100 = 15%
   • Therefore, 3 is 15% of 20.

Real-World Application

Let's say you're at the grocery store and a bag of chips that usually costs $20 is on sale for $17. To find the discount percentage, we can use the same method:

• Part: $3 (the amount saved)
• Whole: $20 (the original price)

Using the calculations above, we find that the discount is 15%.

Key Takeaways

• Percentages are a way to express a part of a whole in relation to 100.
• There are multiple methods to calculate percentages, including proportions and decimals.
• Understanding percentages is crucial for various real-world applications, including financial calculations, discounts, and statistics.