What is 85 of 150?
Understand the Problem
The question is asking for the calculation of 85 as a portion of 150, which is essentially finding the percentage that 85 represents out of 150.
Answer
$56.67\%$
Answer for screen readers
The percentage that 85 represents of 150 is approximately $56.67%$.
Steps to Solve
- Identify the formula for calculating percentage
To find the percentage that a number represents of a total, we use the formula: $$ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 $$ where "Part" is the number we want to find the percentage of, and "Whole" is the total number.
- Plug in the values into the formula
In this case, the "Part" is 85, and the "Whole" is 150. So we substitute these values into the formula: $$ \text{Percentage} = \left( \frac{85}{150} \right) \times 100 $$
- Calculate the fraction
Now we simplify the fraction: $$ \frac{85}{150} = 0.5667 $$ (approximately)
- Multiply by 100 to find the percentage
Finally, we multiply by 100 to convert the decimal to a percentage: $$ 0.5667 \times 100 = 56.67 $$
The percentage that 85 represents of 150 is approximately $56.67%$.
More Information
Calculating percentages is a common skill in mathematics, useful in various real-life situations such as budgeting, statistics, and data analysis. In this case, 85 out of 150 simplifies to about 56.67%, meaning that 85 is a little more than half of 150.
Tips
- Not multiplying by 100: Sometimes people forget to multiply by 100 after obtaining the fraction. Remember, the final answer must be in percentage form.
- Incorrect fraction setup: Make sure to identify the "Part" and "Whole" correctly before substituting values into the formula.
