what percent of 12.5 is 4

Natashya

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27-12-2024

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What Percent of 12.5 is 4? A Step-by-Step Guide

Finding what percent of 12.5 is 4 involves a simple percentage calculation. Here's how to solve it, broken down step-by-step, along with explanations to help you understand the process.

Understanding Percentage Calculations

A percentage is a fraction out of 100. When we say "x% of y is z," we are essentially saying that a fraction (x/100) multiplied by y equals z. In our case, we know y (12.5) and z (4), and we need to find x.

Step 1: Set up the Equation

We can represent the problem as an equation:

(x/100) * 12.5 = 4

Step 2: Solve for x

To solve for x (the percentage), follow these algebraic steps:

1. Multiply both sides by 100: This isolates x on one side of the equation. We get:

   x * 12.5 = 400

2. Divide both sides by 12.5: This will give us the value of x.

   x = 400 / 12.5

3. Calculate the result:

   x = 32

Step 3: State the Answer

Therefore, 32% of 12.5 is 4.

Alternative Method: Using Proportions

Another way to approach this problem is using proportions. We can set up a proportion where:

• 4 is to 12.5 as x is to 100

This can be written as:

4/12.5 = x/100

Cross-multiplying, we get:

4 * 100 = 12.5 * x

400 = 12.5x

x = 400/12.5 = 32

Again, this confirms that 32% of 12.5 is 4.

Practical Applications

Understanding percentage calculations is crucial in many everyday situations, including:

• Discounts: Calculating the final price after a percentage discount.
• Taxes: Determining the amount of tax added to a purchase.
• Tips: Calculating the appropriate tip amount in a restaurant.
• Financial calculations: Understanding interest rates, loan repayments, and investment returns.

Mastering percentage calculations enhances your problem-solving skills and improves your ability to handle various real-world scenarios involving proportions and ratios.