2 is what percent of 14

Guri Bee

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23-10-2024

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Unraveling Percentages: 2 is What Percent of 14?

Have you ever found yourself grappling with percentages? Understanding percentages is crucial in various situations, from calculating discounts to interpreting data. Let's break down the question "2 is what percent of 14?" and explore how to solve it.

The Concept of Percentages

Percentages are fractions where the denominator is always 100. The symbol "%" represents "out of one hundred." For example, 50% means 50 out of 100, which can be expressed as the fraction 50/100 or the decimal 0.5.

Solving the Problem

To determine what percentage 2 represents of 14, we can follow these steps:

1. Set up a proportion: We can express the problem as a proportion:
   2/14 = x/100

   Here, 'x' represents the unknown percentage we want to find.

2. Cross-multiply: Multiply the numerator of the first fraction by the denominator of the second fraction and vice versa: 2 * 100 = 14 * x

3. Solve for x: Simplify the equation: 200 = 14x x = 200/14 ≈ 14.29

Answer: 2 is approximately 14.29% of 14.

Practical Example

Imagine you have a basket of 14 apples, and 2 of them are red. To find the percentage of red apples, you would use the same method as above.

Additional Insights

• This type of calculation is frequently used in everyday life, from calculating discounts at stores to understanding statistics in news reports.
• You can use a calculator or online tools to quickly calculate percentages.

Let's explore some variations of this problem:

• What is 5% of 14? To calculate this, we would use the formula: (5/100) * 14 = 0.7 Therefore, 5% of 14 is 0.7.

• What number is 20% of 14? We can set up a proportion: x/14 = 20/100. Solving for x, we get: x = (20/100) * 14 = 2.8. Therefore, 20% of 14 is 2.8.

By understanding the concepts of proportions and percentages, you can tackle various problems involving these crucial mathematical concepts.