# 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.

$56.67\%$

The percentage that 85 represents of 150 is approximately $56.67%$.

#### Steps to Solve

1. 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.

1. 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: $$\text{Percentage} = \left( \frac{85}{150} \right) \times 100$$

1. Calculate the fraction

Now we simplify the fraction: $$\frac{85}{150} = 0.5667$$ (approximately)

1. 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 $56.67%$.