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

$56.67\%$

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.

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