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 15% of 100, you can convert the percentage to a decimal by dividing by 100:

$15\% = \frac{15}{100} = 0.15$

Next, multiply this decimal by 100:

$0.15 \times 100 = 15$

Thus, 15% of 100 is 15.

To find 8% of 100, first convert the percentage to a decimal by dividing by 100:

$8\% = \frac{8}{100} = 0.08$

Then, multiply this decimal by 100:

$0.08 \times 100 = 8$

Hence, 8% of 100 is 8.

To find 45% of 100, you can multiply the percentage as a decimal by the whole number. First, convert 45% into a decimal. This is done by dividing by 100: $45\% = \frac{45}{100} = 0.45$.

Then, multiply this decimal by 100: $0.45 \times 100 = 45$.

Therefore, 45% of 100 is $45$.

To find 35% of 100, first convert the percentage into a decimal by dividing by 100: $35\% = \frac{35}{100} = 0.35$.

Then, multiply this decimal by 100: $0.35 \times 100 = 35$.

Therefore, 35% of 100 is $35$.

In order to determine what percentage 25 is out of 100, we use the following formula:

$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%$

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We begin by substituting in the known values:

$\text{Percentage} = \frac{25}{100} \times 100\% = 25\%$

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Thus, 25 out of 100 is $25\%$.

In order to determine what percentage 75 is out of 100, we use the following formula:

$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%$

.

We begin by substituting in the known values:

$\text{Percentage} = \frac{75}{100} \times 100\% = 75\%$

.

Thus, 75 out of 100 is $75\%$.

In order to determine what percentage 10 is out of 100, we use the following formula:

$\text{Percentage} = \frac{\text{Part}}{\text{Whole}} \times 100\%$

.

We substitute in the known values:

$\text{Percentage} = \frac{10}{100} \times 100\% = 10\%$

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Thus, 10 out of 100 is $10\%$.

In order to determine what percentage 40 is out of 100, we use the following formula:

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

We begin by substituting in the known values:

$\text{Percentage} = \left( \frac{40}{100} \right) \times 100$

We then proceed to solve the expression:

$\text{Percentage} = 0.4 \times 100$

$\text{Percentage} = 40$

Thus, 40 out of 100 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%.

In order to determine 20% of 100, we begin by converting the percentage into a decimal and then proceed to multiply by the whole number. First, convert 20% to a decimal: $20\% = 0.2$

Next, multiply this decimal by 100 to find the percentage of the whole number: $0.2 \times 100 = 20$

Thus, 20% of 100 is $20$.

In order to calculate 15% of 100, start by converting the percentage into a decimal. Convert 15% to a decimal: $95\% = 0.95$

Then multiply the decimal by 100 to find the percentage value: $0.95 \times 100 = 95$

So, 95% of 100 is $95$.