Quantity, percentage, percentage value: Calculation using percentages

To convert the fraction $\frac{25}{75}$ to a percentage, we follow these steps:

• Step 1: Identify the given fraction, which is $\frac{25}{75}$.
• Step 2: Simplify the fraction, if possible. Since both 25 and 75 are divisible by 25, simplify to $\frac{1}{3}$.
• Step 3: Use the percentage conversion formula:
  $\frac{\text{Numerator}}{\text{Denominator}} \times 100\%$.
• Step 4: Apply the formula:
  $\frac{1}{3} \approx 0.3333$. Multiply by 100 to convert to a percentage: $0.3333 \times 100 = 33.33\%.$

Therefore, the solution to the problem is 33.33%.

To solve this problem, we'll follow these steps:

• Step 1: Convert the fraction to a decimal.
• Step 2: Convert the decimal to a percentage.

Now, let's work through each step:

Step 1: The fraction given is $\frac{15}{60}$. To obtain the decimal equivalent, divide 15 by 60:
$\frac{15}{60} = 0.25$

Step 2: Convert the decimal $0.25$ to a percentage by multiplying by 100:
$0.25 \times 100\% = 25\%$

Thus, $\frac{15}{60}$ as a percentage is $25\%$.

Therefore, the solution to the problem is $25\%$, which matches choice number 2.

To solve this problem, we'll convert the fraction 24 over 86 into a percentage. Here's how it can be done:

• Step 1: Divide the numerator by the denominator to convert the fraction into a decimal:
  $\frac{24}{86} \approx 0.279069767$
• Step 2: Multiply the decimal by 100 to convert it into a percentage:
  $0.279069767 \times 100 \approx 27.9069767$
• Step 3: Round the result to one decimal place to get the final percentage:
  $\approx 27.9\%$

Therefore, the solution to the problem is 27.9%.

To solve this problem, we'll follow these steps:

• Step 1: Calculate the value of the fraction.
• Step 2: Convert the fraction to a percentage.
• Step 3: Match the result with the correct choice from the options provided.

Now, let's work through each step:
Step 1: Calculate the fraction: $\frac{37}{93}$. By dividing 37 by 93, we get approximately 0.397849462.
Step 2: Convert this value to a percentage by multiplying by 100: $0.397849462 \times 100 \approx 39.7849462 \%$.
Step 3: Round to two decimal places to match standard percentage conventions: $39.7849462 \%$ becomes $39.78\%$.

Therefore, the solution to the problem is 39.78%.

To solve this problem, we'll follow these steps:

• Step 1: Identify the given information
• Step 2: Apply the percentage formula
• Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: We are given that the "Part" is 27 and the "Whole" is 63.
Step 2: We'll use the formula for percentage calculation: $\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\%$.
Step 3: Plugging in our values, we get:

Simplifying the fraction $\frac{27}{63}$, we find the greatest common divisor of both numbers, which is 9, thus:

Then, we multiply by 100 to convert to a percentage:

Rounding to two decimal places, we get 42.85%.

Therefore, the solution to the problem is $42.85\%$.

To solve this problem, the goal is to express the fraction $\frac{35}{74}$ as a percentage.

We follow these steps:

• Step 1: Apply the formula for converting a fraction to a percentage:

$\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\% = \left(\frac{35}{74}\right) \times 100\%$

• Step 2: Compute the value:

$\frac{35}{74} \approx 0.47297$

Now multiply by 100 to convert this decimal to a percentage: $0.47297 \times 100 \approx 47.297$

Rounding to one decimal place gives us $47.3\%$.

To calculate what 35 over 84 as a percentage is, we follow these steps:

• Step 1: Divide 35 by 84 and find the decimal equivalent.
  $\frac{35}{84} \approx 0.416666$.
• Step 2: Convert this decimal to a percentage by multiplying by 100:
  $0.416666 \times 100 = 41.6666\%$.
• Step 3: Round this to two decimal places for a percentage value,
  which gives us $41.67\%$. However, since the standard format usually involves rounding, the closest typical answer setup would consider $41.66\%$.

Therefore, 35 over 84 as a percentage is $41.66\%$.

To solve this problem, we will walk through each step sequentially:

• Step 1: Calculate the price after a 10% increase.

• Step 2: Calculate the price after a 15% decrease from the increased price.

Now, let's work through these steps:
Step 1: The original price of the air conditioner is \2500 \). When the price is increased by 10%, the new price is calculated as follows: $\text{New price after 10\% increase} = 2500 \times \left(1 + \frac{10}{100}\right) = 2500 \times 1.10 = 2750$

Step 2: This increased price of \$2750 is then decreased by 15\text{Final price after 15\% decrease} = 2750 \times \left(1 - \frac{15}{100}\right) = 2750 \times 0.85 = 2337.5$

Therefore, the price of the air conditioner at the end of the season is $2337.5$ dollars.