Quantity, percentage, percentage value: Convert fractions to percentages

A percentage is actually a form of fraction, or more precisely, a fraction out of a hundred.

In other words, it is a fraction where the denominator is always 100.

Therefore, in order to convert a fraction into a percentage, we multiply it so that the denominator becomes 100.

20*5=100

15*5=75

Therefore the fraction is 75/100 and the percentage is 75%.

To convert the fraction $\frac{20}{40}$ into a percentage, we'll follow these steps:

• Step 1: Simplify the fraction $\frac{20}{40}$.
• Step 2: Convert the simplified fraction into a percentage.

Step 1: Simplifying the fraction $\frac{20}{40}$, we divide both the numerator and the denominator by their greatest common divisor, which is 20:

$\frac{20 \div 20}{40 \div 20} = \frac{1}{2}$

Step 2: To convert $\frac{1}{2}$ into a percentage, we multiply by 100:

$\frac{1}{2} \times 100 = 50\%$

Therefore, the fraction $\frac{20}{40}$ is equivalent to 50%.

To find 95% of 180, we proceed as follows:

• Step 1: Convert 95% to a decimal for calculation. That is: $95\% = \frac{95}{100} = 0.95$ .
• Step 2: Multiply this decimal by the total quantity (180): $0.95 \times 180$ .
• Step 3: Perform the multiplication: $0.95 \times 180 = 171$ .

Therefore, 95% of 180 is $171$.

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 calculation

Now, let's work through each step:
Step 1: The problem asks us to find 30% of 40.
Step 2: We'll use the percentage formula: $\text{Percentage value} = \frac{\text{Percentage}}{100} \times \text{Quantity}$.
Step 3: Replacing the variables with the given values, we have: $\text{Percentage value} = \frac{30}{100} \times 40$.
To simplify, multiply $\frac{30}{100} \times 40$:
First, convert 30% to a decimal fraction, which is $\frac{30}{100}$ or $0.3$.
Then multiply 0.3 by 40:
$0.3 \times 40 = 12$.

Therefore, the solution to the problem is 12.