What Is 75 Percent Of 90

What is 75 Percent of 90? A Simple Guide to Percentage Calculations

Finding 75 percent of 90 might seem like a simple math problem, but understanding the underlying concepts is crucial for tackling more complex percentage calculations. This guide will walk you through different methods to solve this, explaining the process in a way that's easy to understand and remember. Whether you're a student brushing up on your math skills or simply need a quick refresher on percentages, this guide is for you.

Understanding Percentages:

Before diving into the calculation, let's quickly recap what percentages represent. A percentage is simply a fraction of 100. So, 75 percent (75%) means 75 out of 100, or 75/100. This fraction can be simplified to 3/4.

Method 1: Using Decimal Conversion

This is often the most straightforward method. We convert the percentage to a decimal by dividing it by 100.

1. Convert the percentage to a decimal: 75% ÷ 100 = 0.75
2. Multiply the decimal by the number: 0.75 x 90 = 67.5

Therefore, 75 percent of 90 is $\boxed{67.5}$

Method 2: Using Fraction Equivalents

As mentioned earlier, 75% is equivalent to the fraction 3/4. This method uses this fraction to calculate the answer.

1. Represent 75% as a fraction: 75% = 3/4
2. Multiply the fraction by the number: (3/4) x 90 = 270/4
3. Simplify the fraction: 270/4 = 67.5

Again, we find that 75 percent of 90 is $\boxed{67.5}$

Method 3: Finding 25% and Multiplying

This method leverages the fact that 75% is three times 25%. It's a quick mental calculation for this specific problem.

1. Find 25% of 90: 90 ÷ 4 = 22.5 (Since 25% is one-quarter)
2. Multiply by three to get 75%: 22.5 x 3 = 67.5

This method also confirms that 75 percent of 90 is $\boxed{67.5}$

Practical Applications of Percentage Calculations:

Understanding percentage calculations is essential in various real-life situations, including:

• Discounts and Sales: Calculating discounts in shops.
• Finance: Determining interest rates and loan repayments.
• Statistics: Analyzing data and interpreting results.
• Everyday life: Tips, tax calculations, and more.

By mastering these methods, you can confidently tackle percentage problems and apply this knowledge across numerous fields. Remember to choose the method that you find most comfortable and efficient. Practice makes perfect!