what percent of 26 is 65

less than a minute read 16-01-2025

What Percent of 26 is 65? Solving Percentage Problems

Finding what percent 65 is of 26 involves understanding how percentages work and applying a simple formula. It might seem counterintuitive at first, as 65 is larger than 26, but the solution involves calculating a percentage greater than 100%. Let's break it down step-by-step.

Understanding Percentages

A percentage represents a fraction of 100. For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2. To find a percentage, we express the relationship between two numbers as a fraction and then convert that fraction to a percentage.

Calculating the Percentage

Here's how to calculate what percent 65 is of 26:

Set up a proportion: We can set up a proportion to solve this problem. A proportion shows the relationship between two ratios. Our proportion will be:

x/100 = 65/26

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

26x = 6500
Solve for x: Divide both sides of the equation by 26:

x = 6500 / 26

x = 250

Therefore, 65 is 250% of 26.

Understanding the Result

The result of 250% makes sense because 65 is more than double 26. A percentage greater than 100% simply indicates that the first number (65) is larger than the second number (26) it's being compared to.

Alternative Calculation Method

Another approach uses a simple formula:

(Part / Whole) * 100% = Percentage

In this case:

(65 / 26) * 100% = 250%

Practice Problems

Try these practice problems to solidify your understanding:

What percent of 15 is 30?
What percent of 8 is 2?
What percent of 50 is 125?

By mastering this simple process, you can confidently tackle any percentage problem. Remember the key is to set up a proportion or use the formula, then solve for the unknown variable. Understanding the underlying concept of percentages makes these calculations straightforward and applicable to various real-world scenarios.

what percent of 26 is 65