What Percent Of 125 Is 90

What Percent of 125 is 90? A Step-by-Step Guide

Finding the percentage one number represents of another is a common mathematical task. Whether you're calculating discounts, understanding survey results, or solving a problem for school, knowing how to perform this calculation is a valuable skill. This article will guide you through the process of determining what percentage 90 represents of 125, explaining the steps clearly and concisely. We'll also cover some helpful tips and variations of this problem.

Understanding the Problem: A Quick Overview

Before diving into the calculation, let's clarify the question: "What percent of 125 is 90?" This means we need to find the percentage value that, when multiplied by 125, equals 90. This is a classic percentage problem, solvable with a simple formula.

The Formula and Calculation

The formula to calculate a percentage is:

(Part / Whole) * 100% = Percentage

In our case:

• Part: 90 (the number we want to express as a percentage)
• Whole: 125 (the total number)

Substituting these values into the formula:

(90 / 125) * 100% = Percentage

Performing the calculation:

0.72 * 100% = 72%

Therefore, 90 is 72% of 125.

Alternative Approach: Using Proportions

Another way to solve this problem involves setting up a proportion:

90/125 = x/100

Where 'x' represents the percentage we're trying to find. To solve for x, we cross-multiply:

125x = 9000

x = 9000 / 125

x = 72

Again, we find that 90 is 72% of 125.

Practical Applications and Further Exploration

Understanding percentage calculations is crucial in various real-world scenarios. Here are a few examples:

• Discounts: If an item originally costs $125 and is on sale for $90, the discount is 72%.
• Test Scores: If you scored 90 out of 125 on a test, your percentage score is 72%.
• Data Analysis: Understanding percentages is vital when interpreting data from surveys, polls, and statistical reports.

Beyond this specific problem, remember that the same formula can be applied to any percentage calculation. You can easily adapt it to find the part, the whole, or the percentage itself, depending on the information given. Practicing with different numbers will further solidify your understanding of percentages and their applications.

This simple yet powerful technique allows you to confidently tackle a wide array of percentage problems. By mastering this skill, you will improve your mathematical abilities and gain a better understanding of how percentages are used in everyday life and various professional fields.