Percentages are an essential part of everyday life, used in everything from calculating discounts to understanding election results. Understanding how to convert between percentages and fractions, decimals, and ratios is crucial for navigating the world around us. One common scenario where this knowledge comes in handy is when trying to determine a specific value as a percentage of another. For example, you might need to figure out what percentage a particular score represents out of a total possible score, or what percentage of your income goes towards a specific expense. This blog post will delve into the calculation of “48 is what percent of 75,” providing a clear and comprehensive explanation of the process.
Understanding Percentages
A percentage is a fraction where the denominator is always 100. It represents a part of a whole expressed as a proportion out of one hundred. The symbol “%” is used to denote a percentage. For example, 50% means 50 out of every 100, which is equivalent to 0.50 in decimal form.
Converting Percentages to Decimals
To convert a percentage to a decimal, simply divide the percentage by 100. For example, 25% is equal to 25/100 = 0.25.
Converting Percentages to Fractions
To convert a percentage to a fraction, write the percentage as a numerator over 100. Then, simplify the fraction if possible. For example, 75% is equal to 75/100, which simplifies to 3/4.
Calculating “48 is What Percent of 75?”
To determine what percentage 48 represents of 75, we can follow these steps:
1. **Divide the part (48) by the whole (75):** 48 / 75 = 0.64
2. **Multiply the result by 100 to express it as a percentage:** 0.64 * 100 = 64% (See Also: 93 Is What Percent of 60? Calculated Answer Revealed)
Therefore, 48 is 64% of 75.
Using Percentages in Real-World Scenarios
Percentages are widely used in various real-world applications. Here are a few examples:
Sales and Discounts
When shopping, percentages are used to indicate discounts and markdowns. For example, a 20% discount on a $100 item means you save $20, paying only $80.
Financial Calculations
Percentages are crucial in finance for calculating interest rates, loan payments, and investment returns. For instance, a 5% interest rate on a $10,000 loan means you will pay an additional $500 in interest over the loan term.
Statistical Analysis
In statistics, percentages are used to represent proportions and frequencies. For example, a survey might report that 75% of respondents prefer a particular brand.
Tips for Working with Percentages
Here are some helpful tips for working with percentages: (See Also: 28 Is What Percent of 50? Find Out Now)
* **Memorize common percentages:** Knowing common percentages like 10%, 25%, 50%, 75%, and 100% can simplify calculations.
* **Use a calculator:** A calculator can quickly and accurately perform percentage calculations.
* **Practice regularly:** The more you practice working with percentages, the more comfortable and confident you will become.
Frequently Asked Questions
48 Is What Percent of 75?
What is the formula for calculating percentages?
The formula for calculating a percentage is: (Part / Whole) * 100
How do I calculate the percentage increase or decrease?
To calculate the percentage increase or decrease, use the following formula: ((New Value – Original Value) / Original Value) * 100
Can you give me another example of how to use percentages in real life?
Suppose you scored 80 out of 100 on a test. To find your percentage score, you would divide your score (80) by the total possible score (100) and multiply by 100. This gives you (80/100) * 100 = 80%. (See Also: Angle Aoc Has What Measurement According to the Protractor? Measured Accurately)
What is the difference between a percentage and a ratio?
A percentage is a fraction out of 100, while a ratio compares two quantities without specifying a whole. For example, a ratio of 3:2 means that for every 3 units of one quantity, there are 2 units of another quantity. A percentage, like 60%, is equivalent to the ratio 60:100, which can be simplified to 3:5.
How can I convert a decimal to a percentage?
To convert a decimal to a percentage, simply multiply the decimal by 100. For example, 0.75 is equal to 75%.
Understanding percentages is a fundamental skill that empowers us to make informed decisions in various aspects of life. By mastering the concepts discussed in this blog post, you can confidently tackle percentage-related problems and navigate the world around you with greater clarity.