Let's break down this math problem to find the answer. We are given a percentage of a number and its corresponding value, and we need to find a different percentage of the same number.

Understanding the Problem

The core of the problem is to first find the original number and then calculate a percentage of that original number. We know that 44% of a certain number is equal to 2288.

Step-by-Step Solution for Percentage Calculation

Here’s how we can solve this percentage problem:

1. Find the original number:

   Let the unknown number be \(x\). We are told that 44% of \(x\) is 2288.

   In mathematical terms, this can be written as:

   \(\text{44\% of } x = 2288\)

   To work with percentages in calculations, we convert the percentage to a decimal or a fraction.

   \(\text{44\%} = \frac{44}{100} = 0.44\)

   So, the equation becomes:

   \(0.44 \times x = 2288\)

   To find \(x\), we need to divide 2288 by 0.44:

   \(x = \frac{2288}{0.44}\)

   Let's perform the division:

   \(x = 5200\)

   So, the original number is 5200.

2. Calculate 87% of the original number:

   Now that we know the original number is 5200, we need to find 87% of this number.

   Convert 87% to a decimal or fraction:

   \(\text{87\%} = \frac{87}{100} = 0.87\)

   Now, multiply the original number by 0.87:

   \(87\% \text{ of } 5200 = 0.87 \times 5200\)

   Let's calculate the product:

   \(0.87 \times 5200 = 4524\)

   So, 87% of the number is 4524.

The final answer is 4524.

Summary of Calculation

Revision Table: Key Concepts in Percentage Problems

Additional Information: Solving Percentage Word Problems

Percentage word problems are common in various exams and real-life situations. Here are some tips for solving them effectively:

• Always identify what the known percentage represents and what value corresponds to it.
• Determine what you need to find (the original number, a part of the number, the percentage change, etc.).
• Set up an equation based on the information given. Using a variable (like \(x\)) for the unknown number can be helpful.
• Convert percentages to decimals or fractions before performing calculations. Decimals are often easier for multiplication and division.
• Double-check your calculations, especially division and multiplication with decimals.
• Ensure your final answer makes sense in the context of the problem. For instance, if you're calculating a larger percentage, the result should be a larger number than the value given for a smaller percentage (assuming the original number is positive). In this case, 87% should be greater than 44%, and 4524 is indeed greater than 2288.