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 solve this problem, we'll use the standard formula for finding a percentage of a given number:

• Step 1: Identify the values needed for the formula. Here, the percentage is $20\%$ and the total is $60$.
• Step 2: Write the formula to calculate the percentage of the total. The formula is:

Step 3: Plug in the values into the formula:

Step 4: Simplify the calculation:

Therefore, 20% of 60 is 12.

To solve this problem, we will determine 30% of 90 using the percentage formula. Here's how we'll do it:

• Step 1: Identify the necessary formula for the calculation.
• Step 2: Substitute the values into the formula and compute.
• Step 3: Verify the result and match it with the answer choices.

Now, let's proceed through these steps:

Step 1: The formula for calculating a percentage of a number is given as:
$\text{Percentage Value} = \left( \frac{x}{100} \right) \times \text{Total}$

Step 2: Substitute the given values into the formula.
Here, $x = 30$ and $\text{Total} = 90$. Thus, the formula becomes:
$\text{Percentage Value} = \left( \frac{30}{100} \right) \times 90$.

Step 3: Compute the expression.
First, calculate $\frac{30}{100} = 0.3$.
Then multiply by 90:
$0.3 \times 90 = 27$.

Therefore, 30% of 90 is $27$.

To solve the exercise, will begin by converting the percentage into a fraction:

$42\%=\frac{42}{100}$

We will then proceed to multiply the fraction by 15

$15\times\frac{42}{100}=$

In order to simplify this operation let's break down the 15 from the multiplication exercise as well as the 100 in the denominator for the multiplication exercise:

$3\times5\times\frac{42}{5\times20}$

Take note that the five in both exercises can be reduced:

$3\times\frac{42}{20}=\frac{3\times(2\times21)}{2\times10}$

Furthermore we can also reduce the 2 in the numerator and the denominator:

$\frac{3\times21}{10}=\frac{63}{10}=6.3$

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

• Step 1: Convert the percentage to a fraction.
• Step 2: Multiply the fraction by the whole number.
• Step 3: Simplify the result to find the final answer.

Now, let's work through each step:

Step 1: Convert 70% to a fraction. 70% is equal to $\frac{70}{100}$, which simplifies further to $\frac{7}{10}$.

Step 2: Multiply the fraction by the whole number 90. We calculate:

$\frac{7}{10} \times 90 = \frac{7 \times 90}{10} = \frac{630}{10}$.

Step 3: Simplify $\frac{630}{10}$:

The numerator 630 divided by the denominator 10 gives us 63.

Therefore, the solution to the problem is 63.

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

• Step 1: Convert the given percentage into a decimal.
• Step 2: Multiply the decimal by the total quantity to find the percentage value.

Now, let's work through each step:
Step 1: Convert the percentage to a decimal:
$72\% = \frac{72}{100} = 0.72$
Step 2: Multiply this decimal by the total quantity:
$0.72 \times 5100 = 3672$

Therefore, 72% of 5100 is $3672$.

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

• Step 1: Convert the percentage to a decimal form by dividing it by 100.
• Step 2: Multiply the resulting decimal by the whole value to find the percentage value.

Now, let's work through each step:
Step 1: Convert $83\%$ to decimal by dividing by 100:
$\frac{83}{100} = 0.83$

Step 2: Multiply this decimal by 4300 to find $83\%$ of 4300:
$0.83 \times 4300 = 3569$

Therefore, the solution to the problem is $3569$.

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 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 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.