As an expert in mathematical calculations, I can help you understand how to calculate the percentage that 14 is out of 56. This is a straightforward process that involves basic arithmetic operations. Let's break it down step by step:
**Step 1: Understanding the Concept of Percentage**
A percentage is a way of expressing a number as a fraction of 100. It is often used to compare proportions or to describe how much one quantity is relative to another. For instance, if you have 14 out of 56 items, you might be interested in knowing what portion of the total 56 items is represented by the 14 items.
Step 2: Setting Up the CalculationTo find out what percentage 14 is of 56, you'll need to use the following formula:
\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]
In this case, "Part" is 14 and "Whole" is 56.
Step 3: Performing the CalculationNow, plug the numbers into the formula:
\[ \text{Percentage} = \left( \frac{14}{56} \right) \times 100 \]
Before you multiply by 100, simplify the fraction if possible. The fraction \( \frac{14}{56} \) can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 14.
\[ \frac{14}{56} = \frac{14 \div 14}{56 \div 14} = \frac{1}{4} \]
Now, multiply this simplified fraction by 100 to get the percentage:
\[ \text{Percentage} = \left( \frac{1}{4} \right) \times 100 \]
Step 4: Finalizing the AnswerWhen you multiply \( \frac{1}{4} \) by 100, you get 25. This means that 14 is 25% of 56.
Step 5: Using a Calculator (Optional)If you prefer to use a calculator, you can input the calculation directly. However, it's important to note that the sequence provided in the reference content is incorrect. The correct sequence would be to first divide 14 by 56, and then multiply the result by 100. The reference content incorrectly suggests subtracting 56 from 14 and then dividing by 100, which does not yield the correct percentage.
Conclusion:The correct percentage that 14 is out of 56 is
25%. This calculation is a fundamental concept in mathematics and is used in a wide range of applications, from finance to science, to understand proportions and relative sizes.
Now, let's proceed with the next steps as per your instructions.
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