38% of 250 is equal to:
95
Calculating Percentage: 38% of 250
The question asks us to find the value of 38% of 250. This is a common type of percentage calculation problem.
Understanding Percentages
A percentage is a way of expressing a fraction of 100. For example, 38% means 38 out of 100, which can be written as the fraction $\frac{38}{100}$ or the decimal 0.38.
To find a percentage of a number, we convert the percentage to a decimal or a fraction and then multiply it by the number.
Step-by-Step Calculation
Here is how we can calculate 38% of 250:
- Convert the percentage to a decimal: Divide the percentage by 100.
- Multiply the decimal by the given number (250).
Let's perform the calculation:
- Convert 38% to a decimal: $38\% = \frac{38}{100} = 0.38$
- Multiply the decimal by 250: $0.38 \times 250$
Now, let's do the multiplication:
$\begin{array}{@{}c@{\,}c@{}c@{}c} & & 2 & 5 & 0 \\ \times & & 0 & . & 3 & 8 \\ \hline & 2 & 0 & 0 & 0 \\ & 7 & 5 & 0 & \\ \hline & 9 & 5 & . & 0 & 0 \end{array}$
So, $0.38 \times 250 = 95$.
Alternatively, using fractions:
- Convert 38% to a fraction: $38\% = \frac{38}{100}$
- Multiply the fraction by 250: $\frac{38}{100} \times 250$
- Simplify the expression: $\frac{38}{100} \times 250 = \frac{38 \times 250}{100} = \frac{9500}{100} = 95$
Result
The calculation shows that 38% of 250 is equal to 95.
| Percentage | Equivalent Decimal | Calculation | Result |
|---|---|---|---|
| 38% | 0.38 | $0.38 \times 250$ | 95 |
Revision Table: Key Percentage Concepts
| Concept | Description | Example |
|---|---|---|
| Percentage Definition | A part per hundred. Represented by the symbol %. | 50% means 50 out of 100. |
| Converting % to Decimal | Divide the percentage by 100. | 75% = $75/100 = 0.75$. |
| Converting Decimal to % | Multiply the decimal by 100. | $0.25 = 0.25 \times 100 = 25\%$. |
| Calculating % of a Number | Convert % to decimal/fraction and multiply by the number. | 10% of 200 = $0.10 \times 200 = 20$. |
Additional Information: Applications of Percentages
Percentages are widely used in various aspects of life and mathematics. Understanding how to calculate and work with percentages is crucial.
- Finance: Calculating interest rates, discounts, taxes, and profit margins.
- Statistics: Representing proportions and data distributions.
- Retail: Applying discounts during sales.
- Education: Grading exams and comparing performance.
- Science: Expressing concentrations in solutions.
The ability to quickly calculate percentages helps in making informed decisions in everyday situations.
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