What is 35 of 1200?
Understand the Problem
The question is asking for a percentage calculation, specifically what 35 is as a portion of 1200. This can be solved by using the formula (35/1200) * 100 to find the percentage.
Answer
$2.92\%$
Answer for screen readers
The final answer is $2.92%$.
Steps to Solve
- Set up the percentage formula
To find what percentage 35 is of 1200, you can use the formula:
$$ \text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100 $$
In this case, the part is 35 and the whole is 1200.
- Insert values into the formula
Now, plug in the values into the formula:
$$ \text{Percentage} = \left(\frac{35}{1200}\right) \times 100 $$
- Calculate the fraction
Next, calculate the fraction:
$$ \frac{35}{1200} = 0.02916666... $$
- Multiply by 100
Now, multiply the result by 100 to convert it to a percentage:
$$ \text{Percentage} = 0.02916666... \times 100 = 2.91666666... $$
- Round to two decimal places
Finally, round the percentage to two decimal places:
$$ 2.92% $$
The final answer is $2.92%$.
More Information
The value of $2.92%$ indicates that 35 is a little less than 3% of 1200. This type of percentage calculation is useful in various real-life situations, such as understanding proportions in finance, statistics, and data analysis.
Tips
- Forgetting to multiply by 100 to convert the decimal to a percentage.
- Incorrectly simplifying the fraction, which can lead to wrong results.