Are you grappling with the puzzle of determining what percentage 16 is of 24? Many face this dilemma when dealing with proportions and percentages. Understanding this concept is crucial for various applications, from dividing resources fairly to calculating discounts accurately. This post will delve into the intricacies of this calculation, providing a step-by-step guide and practical examples to help you master this essential skill.

When faced with the challenge of finding the percentage that one number represents of another, it’s easy to get lost in a maze of formulas and calculations. But fear not! This post will simplify the process, empowering you to tackle percentage problems with confidence.

To calculate what percentage 16 is of 24, we employ a simple formula: Percentage = (Part/Whole) x 100. In this case, the part is 16, and the whole is 24. Plugging these values into the formula, we get: Percentage = (16/24) x 100.

After some quick calculations, we arrive at the answer: 16 is 66.67% of 24. This means that 16 represents two-thirds of 24. With this newfound understanding, you can confidently navigate any percentage-related conundrum that comes your way.

## Understanding the Percentage Relationship: 16 is What Percent of 24?

### Calculating Percentages

In mathematics, a percentage is a fraction expressed as a hundredth. To calculate the percentage that one number is of another, simply divide the smaller number by the larger number and multiply the result by 100.

### 16 as a Percentage of 24

To determine what percentage 16 is of 24, we use the following formula:

```
Percentage = (16 / 24) x 100 = 0.6666 x 100 = 66.67%
```

Therefore, **16 is 66.67% of 24**.

### Real-World Applications

Understanding percentages has numerous applications in everyday life, including:

**Discounts and Sales:**Calculating discounts and determining the actual price after a percentage-based reduction.**Taxation:**Computing sales tax, income tax, and other percentage-based charges.**Investments:**Calculating interest earned and returns on investments expressed as percentages.**Measurement and Scaling:**Converting fractions and decimals into percentages for easier comparison and scaling.**Proportions:**Determining the relationship between two or more quantities expressed as percentages.

### Conversion Table

To simplify the calculation of percentages, a conversion table can be used:

| **Percentage** | **Decimal** | **Fraction** |

|—|—|—|

| 1% | 0.01 | 1/100 |

| 10% | 0.1 | 1/10 |

| 25% | 0.25 | 1/4 |

| 50% | 0.5 | 1/2 |

| 75% | 0.75 | 3/4 |

| 100% | 1 | 1/1 |

### Fraction Equivalents

The percentage 66.67% can also be expressed as a fraction:

```
66.67% = 66.67 / 100 = 2 / 3
```

Therefore, **16 can be represented as two-thirds of 24 (16 = 2/3 x 24)**.

### Decimal Representation

The percentage 66.67% can also be expressed as a decimal:

```
66.67% = 66.67 / 100 = 0.6667
```

Therefore, **16 can be represented as the decimal 0.6667 (16 = 0.6667 x 24)**.

### Common Conversion

Some common percentage conversions include:

- 100% of 24 = 24
- 50% of 24 = 12
- 25% of 24 = 6
- 10% of 24 = 2.4

### Importance of Percentages

Mastering the concept of percentages is essential for:

- Understanding financial data and making informed financial decisions.
- Solving real-world problems involving proportion and comparison.
- Communicating mathematical information clearly and concisely.

### Conclusion

16 is 66.67% of 24. This percentage can be expressed as a fraction (2/3) or a decimal (0.6667). Understanding percentages is a fundamental mathematical skill with numerous practical applications.

### FAQs

**1. How do you calculate 16% of 24?**

- Multiply 24 by 0.16 (16% expressed as a decimal).

**2. What is the fraction equivalent of 66.67%?**

- 2/3.

**3. Is 16 greater than 24%?**

- Yes, 16 is greater than 66.67% of 24.

**4. What is the decimal equivalent of 16 as a percentage of 24?**

- 0.6667.

**5. How do I convert a percentage into a fraction?**

- Divide the percentage by 100.