UpStudy Free Solution:

To express 10.1 million as a percentage of 39.8 million, you can use the following formula for percentage:

\[\text { Percentage} = \left ( \frac { \text { Part} } { \text { Whole} } \right ) \times 100\]

Here, the "Part" is 10.1 million, and the "Whole" is 39.8 million. Plugging in these values:

\[\text { Percentage} = \left ( \frac { 10.1} { 39.8} \right ) \times 100\]

First, calculate the fraction:

\[\frac { 10.1} { 39.8} \approx 0.2538\]

Then, multiply by 100 to convert it to a percentage:

\[0.2538 \times 100 \approx 25.38\]

Rounding to one decimal place:

\[25.38 \approx 25.4\]

So, 10.1 million is approximately 25.4% of 39.8 million.

Supplemental Knowledge

Understanding how to calculate percentages is a fundamental skill in arithmetic that has numerous practical applications. Here are some additional insights into percentage calculations:

1. Definition of Percentage:

- A percentage is a way of expressing a number as a fraction of 100. It is denoted using the percent sign (%).

- For example, 25% means 25 out of every 100.

2. Basic Percentage Formula:

- The basic formula to calculate the percentage of a part relative to the whole is:

\[\text { Percentage} = \left ( \frac { \text { Part} } { \text { Whole} } \right ) \times 100\]

3. Applications of Percentages:

- Percentages are used in various fields such as finance (to calculate interest rates), statistics (to express data), and everyday life (to determine discounts and sales tax).

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