what percentage of 45 is 3

less than a minute read 24-12-2024

What Percentage of 45 is 3? A Step-by-Step Guide

Finding what percentage 3 represents of 45 might seem tricky at first, but it's a straightforward calculation using basic percentage principles. This article will guide you through the process step-by-step, providing a clear understanding of how to solve this type of problem and similar ones. We'll also explore different methods to arrive at the answer.

Understanding Percentages

Before diving into the calculation, let's refresh our understanding of percentages. A percentage is a fraction or ratio expressed as a number out of 100. For example, 25% means 25 out of 100, or 25/100, which simplifies to 1/4.

Method 1: Using a Proportion

This is a classic method for solving percentage problems. We set up a proportion:

Part/Whole = Percentage/100

In our case:

Part = 3
Whole = 45
Percentage = x (what we want to find)

So the proportion becomes:

3/45 = x/100

To solve for 'x', we cross-multiply:

3 * 100 = 45 * x

300 = 45x

Now, divide both sides by 45:

x = 300 / 45

x = 6.666...

Therefore, 3 is approximately 6.67% of 45.

Method 2: Using Decimal Conversion

This method involves converting the fraction to a decimal and then multiplying by 100 to get the percentage.

Form a fraction: Express the problem as a fraction: 3/45
Convert to a decimal: Divide 3 by 45: 3 ÷ 45 = 0.0666...
Convert to a percentage: Multiply the decimal by 100: 0.0666... * 100 = 6.67% (approximately)

Method 3: Using a Calculator

Most calculators have a percentage function. Simply divide 3 by 45 and then multiply the result by 100. The calculator will directly provide the percentage.

Conclusion

We've explored three different methods to determine what percentage of 45 is 3. Each method yields the same result: approximately 6.67%. Understanding these methods empowers you to solve similar percentage problems with ease. Remember to always clearly define the "part" and the "whole" in your problem to set up your proportion or fraction correctly.

what percentage of 45 is 3