What Percent Of 75 Is 90

What Percent of 75 is 90? A Step-by-Step Guide

This article will guide you through calculating what percentage 90 represents of 75. This seemingly simple question involves understanding the concept of percentages and applying a straightforward formula. It's a common type of problem encountered in various fields, from everyday calculations to more complex mathematical applications. Let's dive in!

Understanding the Problem

The question "What percent of 75 is 90?" is asking us to find the percentage value that, when applied to 75, results in 90. This involves setting up a simple equation and solving for the unknown percentage. We'll break down the process into easy-to-follow steps.

Step-by-Step Calculation

1. Set up the Equation: We can represent the problem mathematically as follows:

   X% * 75 = 90

   Where 'X' is the unknown percentage we need to find.

2. Convert the Percentage to a Decimal: To solve this equation, it's easier to work with decimals. Remember that a percentage is simply a fraction out of 100. So, X% can be written as X/100. Our equation now becomes:

   (X/100) * 75 = 90

3. Solve for X: Now we solve for X by isolating it on one side of the equation. First, we multiply both sides by 100:

   X * 75 = 9000

4. Isolate X: Next, divide both sides by 75:

   X = 9000 / 75

5. Calculate the Result: Performing the division gives us:

   X = 120

6. Express as a Percentage: Since we solved for X in decimal form, we need to convert it back to a percentage. This means multiplying by 100:

   X = 120%

Therefore, 90 is 120% of 75.

Understanding the Result

The result of 120% might seem counterintuitive at first glance, since a percentage is typically thought of as a value less than or equal to 100%. However, it simply means that 90 is greater than 75. The percentage represents the proportional relationship between the two numbers. In this instance, 90 is 120% the size of 75.

Real-World Applications

Understanding percentage calculations is crucial in many aspects of life. Here are a few examples:

• Sales and Discounts: Calculating discounts, markups, and profit margins.
• Financial Calculations: Determining interest rates, tax percentages, and investment returns.
• Data Analysis: Representing data proportionally in charts and graphs.
• Everyday Life: Calculating tips, understanding sales tax, and comparing prices.

This problem demonstrates a fundamental concept in mathematics with practical applications in various fields. By following these steps, you can confidently tackle similar percentage problems. Remember, the key is to translate the word problem into a clear mathematical equation and then solve for the unknown variable.