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When faced with percentage problems, the initial step is often to convert a given percentage into a decimal. This is a crucial step because it allows us to simplify calculations. To convert a percentage to a decimal, you simply divide the percentage by 100. This process effectively shifts the decimal point two places to the left. For instance, converting \(48\%\) into a decimal involves the following steps:

• Take the percentage value, in this case, 48.
• Divide it by 100.
• This gives you \(0.48\).

Now, our original percentage is ready for use in further calculations. Keep in mind that this step is standard and fundamental across all percentage calculations. Whether calculating discounts, interest rates, or other percentage-based values, decimal conversion is the first step.

Once you have converted the percentage to a decimal, the next step is to carry out the multiplication. This involves multiplying the decimal by the number for which you wish to find the percentage. So in our original exercise, we need to find \(48\%\) of \(650\). With the decimal of \(0.48\) ready, the calculation to perform is:

• Multiply \(0.48 \times 650\).

To break it down, this operation can be thought of in several smaller steps if needed, but using a calculator or mental math gives the same result. Multiplying these numbers provides us with the exact value that \(48\%\) represents of the total \(650\). This multiplication step transitions the abstract percentage into a tangible quantity.

Percentage calculation, as shown in our exercise, is a powerful tool for determining portion sizes and comparative results. This final step combines the understanding of both decimal conversion and multiplication. Once you have performed the multiplication, the result represents the exact amount of the total that corresponds to the given percentage.

• In our problem, the result was \(312\).
• This means \(312\) is \(48\%\) of \(650\).

Understanding how to switch between percentages and actual values using simple multiplication allows for greater flexibility not only in math problems but also in practical, real-life scenarios. The mastery of percentage calculations enhances decision-making in financial areas such as budgeting, shopping, and investing, where knowing proportions is often essential.