Percentage - Examples, Exercises and Solutions

To solve the problem of calculating 6% of 100, we follow these clear steps:

• Step 1: Convert the percentage to a fraction. The percentage 6% is equivalent to the fraction $\frac{6}{100}$.
• Step 2: Multiply the whole number by this fraction. We calculate $\frac{6}{100} \times 100$.
• Step 3: Perform the calculation. Simplifying $\frac{6}{100} \times 100$, we find:

Therefore, the solution to the problem is 6.

To solve this problem, we'll proceed with the following steps:

• Step 1: Identify the given information
  We are given a percentage of 3% and a whole number of 100.
• Step 2: Use the percentage formula
  The formula to calculate the percentage of a whole number is given by:
  $\text{Percentage value} = \frac{\text{percentage}}{100} \times \text{whole number}$
• Step 3: Substitute the values and calculate
  Substituting the given values into the formula, we have:
  $\frac{3}{100} \times 100 = 3$

Therefore, the 3% of 100 is $3$.

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

• Step 1: Identify the given fraction $\frac{32}{100}$.
• Step 2: Recognize that the denominator of 100 aligns directly with the meaning of percentage.
• Step 3: Conclude that when the fraction is $\frac{\text{Part}}{100}$, it equals $\text{Part}\%$.

Now, let's work through each step:

Step 1: The problem gives us the fraction $\frac{32}{100}$.
Step 2: Since the denominator is 100, the fraction directly represents a percentage.
Step 3: This means that $\frac{32}{100}$ is simply $32\%$.

Therefore, the solution to the problem is $32\%$.

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

• Step 1: Use the percentage formula: $\left(\frac{\text{Part}}{\text{Whole}}\right) \times 100\%$.
• Step 2: Substitute the given numbers: $\left(\frac{40}{100}\right) \times 100\%$.
• Step 3: Calculate the division, $\frac{40}{100} = 0.4$.
• Step 4: Multiply by 100 to convert to a percentage: $0.4 \times 100 = 40\%$.

Therefore, 40 over 100 as a percentage is $40\%$.

To find what percentage 65 is out of 100, use the formula:

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

Substitute the given values:

$\text{Percentage}=\left(\frac{65}{100}\right)\times100$

Solve the expression:

$\text{Percentage}=0.65\times100$

$\text{Percentage}=65$

So, 65 out of 100 is 65%.