**Understanding Percentages: Calculating 21 as a Percentage of 60**

In our daily lives, we often encounter scenarios where we need to understand percentages. One such example is calculating the percentage that one number represents of another. Let’s explore how to determine 21 as a percentage of 60.

**Navigating Percentages: A Common Challenge**

Percentages can sometimes be perplexing, especially when trying to grasp their real-world applications. Understanding percentages is essential for various aspects of life, from financial calculations to scientific measurements. Often, individuals struggle with comprehending the relationship between a part and a whole when expressed as a percentage.

**21 as a Percentage of 60: Unveiling the Formula**

To determine 21 as a percentage of 60, we can use the following formula:

Percentage = (Part / Whole) * 100

Substituting the values, we get:

Percentage = (21 / 60) * 100

Percentage = 0.35 * 100

Percentage = 35%

Therefore, 21 is 35% of 60.

**Summary:**

In this exploration of 21 as a percentage of 60, we highlighted the significance of understanding percentages in various aspects of life. We addressed common challenges faced in grasping percentages and presented a clear formula to calculate the percentage. By understanding the relationship between parts and wholes, individuals can confidently navigate percentage-related scenarios.

## 21 is What Percent of 60? Solving the Proportion

**Introduction:**

In the realm of mathematics, understanding percentages is crucial for various calculations and problem-solving scenarios. Percentages allow us to express a part of a whole as a fraction of 100. In this article, we delve into the concept of percentages and demonstrate how to calculate 21 as a percentage of 60 using a step-by-step approach.

### Step 1: Understanding Percentages

Percentages are a way of expressing a part of a whole as a fraction of 100. The symbol “%” is used to denote percentages. For example, 50% means 50 parts out of 100 parts, which is equivalent to 0.5 or 1/2.

### Step 2: Setting Up the Proportion

To calculate 21 as a percentage of 60, we set up a proportion. A proportion is an equation that states that two ratios are equal.

In this case, the proportion can be written as:

**21 / 60 = x / 100**

Where:

- 21 is the part we want to express as a percentage.
- 60 is the whole.
- x is the percentage we are trying to find.
- 100 is the total percentage.

### Step 3: Solving the Proportion

To solve for x, we cross-multiply the proportion. This means multiplying the numerator of one fraction by the denominator of the other fraction and vice versa. Doing so, we get:

**21 * 100 = 60 * x**

Simplifying the equation further:

**2100 = 60x**

Dividing both sides of the equation by 60, we get:

**x = 35**

### Step 4: Interpreting the Result

The value of x, which is 35, represents the percentage we were trying to find. Therefore, 21 is 35% of 60. This means that 21 is 35 parts out of 100 parts of 60.

### Additional Insights:

- The percentage of a number can be calculated using the formula:

**Percentage = (Part / Whole) * 100**

- Percentages are widely used in various fields, including mathematics, finance, economics, and statistics.
- Percentages allow us to compare different quantities on a common scale.

### Conclusion:

In conclusion, the percentage of 21 out of 60 is 35%. This was determined by setting up a proportion, cross-multiplying, and solving for the unknown percentage. Percentages are a fundamental mathematical concept used in various fields to express parts of a whole in a standardized manner.

**FAQs:**

**How do percentages work?**

Percentages represent parts of a whole expressed as fractions of 100. They allow us to compare different quantities on a common scale.

**How to calculate percentages?**

Percentages can be calculated using the formula: Percentage = (Part / Whole) * 100.

**What is the percentage of 21 out of 60?**

21 is 35% of 60.

**Can percentages be greater than 100%?**

Yes, percentages can be greater than 100% if the part is greater than the whole.

**How are percentages used in real life?**

Percentages are used in various fields, including finance (interest rates), economics (growth rates), statistics (probability), and everyday calculations (discounts, sales tax).

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