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To solve a percentage problem, you need to understand the percentage formula. This fundamental formula states that the part is equal to the percent multiplied by the whole. Think of it as a way to break down real-world problems into manageable pieces.
Here's the formula: \[ \text{Part} = \frac{\text{Percent}}{100} \times \text{Whole} \] \To find the whole from a given part and percent, you can rearrange this formula. It becomes: \[ \text{Whole} = \frac{\text{Part}}{\text{Percent}/100} = \frac{\text{Part} \times 100}{\text{Percent}} \] When you're dealing with questionnaires or retail discounts, this formula is often used.
For example, in the problem: \[ 9 = \frac{2}{3} \times \frac{1}{100} \times \text{Whole} \] By rearranging, we efficiently find the whole value.

Converting a percentage to a decimal is another essential step in solving these problems. Percentages are parts out of 100. This means you can convert a percentage to a decimal by dividing by 100.
For example: \[ \frac{2}{3} \times 1/100 = 0.0067 \] Doing this conversion helps you input the correct values into your formula.
Regular conversion steps include:

• Write down the percentage
• Divide by 100
• Use the resulting decimal in your calculations

This transformation makes complex calculations more manageable and is crucial for accuracy.

In some percentage problems, the base or the whole amount is unknown. This is common in real-life situations like budgeting or test scores. To find this unknown base, follow structured steps.
Let's revisit our example: \[ 9 = \frac{2}{3} \times \frac{1}{100} \times \text{Whole} \] Our goal is to isolate the 'Whole' variable.
Here's the simplified process:

• Identify the known part and percentage
• Convert percentage to decimal
• Use the rearranged formula: \[ \text{Whole} = \frac{9}{0.0067} \]
• Calculate the value

After performing the calculation, we find the whole to be approximately 1343.28.
Understanding how to find the unknown base can greatly assist with more complex math-related issues.