When calculating percentages, it’s essential to understand the relationship between the part and the whole. In this case, we want to determine what percentage 24 represents out of 96.
Understanding Percentages
A percentage is a way of expressing a fraction as a hundredth. For example, 50% represents the fraction 50/100, which can be simplified to 1/2. Similarly, 24 out of 96 can be expressed as a fraction: 24/96.
Calculating the Percentage
To calculate the percentage, we need to divide the part (24) by the whole (96) and multiply the result by 100.
Percentage = (Part / Whole) x 100
Percentage = (24 / 96) x 100
Percentage = 0.25 x 100
Percentage = 25%
Therefore, 24 is 25% of 96.
Applications of Percentages
Percentages have numerous applications in various fields, including:
- Finance: Calculating interest rates, discounts, and profits
- Statistics: Representing data in a meaningful way
- Science: Expressing concentrations and proportions
- Engineering: Determining efficiency and performance
Real-World Examples
Here are some real-world examples of how percentages are used:
- A survey reveals that 60% of adults prefer coffee over tea.
- A store offers a 20% discount on all items for Black Friday.
- A machine produces 95% of its products without defects.
- A patient’s blood sugar level is 120 mg/dL, which represents 80% of the normal range.
Conclusion
Understanding percentages is crucial for interpreting data, making informed decisions, and communicating quantitative information effectively. By following the steps outlined above, you can accurately calculate percentages and apply them to various real-world scenarios.