Utilizing the “What is X Percent of Y Calculator”, we can compute that 6% of 600 equals 36.

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Step-by-Step Solution: What is 6% of 600?

Now that we know we want to find 6% of 600, let’s look at two different step-by-step methods we can use to solve this percentage problem. Each approach arrives at the same solution, but understanding different ways to think through the math builds flexibility and deeper learning.

Method 1: Convert the Percent to a Decimal and Multiply

One approach to finding 6 percent of 600 is to convert the percent to a decimal and multiply. Here are the steps:

Step 1: Identify the part and whole

The part is the amount we want as a percentage. In this case, it is 6%.

The whole is the total amount. In this case, the whole is 600.

Step 2: Write the percentage as a decimal by dividing it by 100:

6% = 6/100 = 0.06

Step 3: Multiply the decimal form of percentage by the whole amount:

0.06 * 600 = 36

Therefore, 6% of 600 is 36.

Let’s look at this visually:

6% * 600 = 6/100 * 600 = 0.06 *600 = 36

This approach of converting the percentage to a decimal and multiplying is straightforward and can be applied to any “percent of number” problem. The key is properly converting the percent to a decimal by dividing by 100.

Method 2: Finding Percentages Using Algebraic Equations

Another way to find 6% of 600 is to set up an algebraic equation and solve it. Here are the steps:

A proportion is an equation that states two ratios are equivalent. Here is the proportion formula:

Part/Whole = Percentage/100

Step 1: Define the Unknown Variable

Let’s define an unknown variable x to represent 6% of 600. In algebraic equations, variables are used to represent unknown values.

Step 2: Set Up the Equation

Using the variable x, we can set up an equation with the information given:

• The unknown variable x (Part) is the amount we want to find, which is 6% of 600
• The Whole is 600
• The Percentage is 6

Substitute into the equation:

In this case, we can multiply both sides of the equation by 600

600 *x/600 = 6/100 * 600

x = 6 /100 * 600 = 3600/100 = 36

Therefore, 6% of 600 is 36.

Comparing the Methods

Both methods arrive at the same solution:

• Method 1 gets the solution by converting 6% to 0.06 and multiplying by 600.
• Method 2 sets up an equation, defines a variable, and solves algebraically.

The decimal conversion method is straightforward, avoiding any algebra. But the algebraic method is more flexible for complex problems where defining variables and setting up equations is helpful.

Common Percentage Scenarios

Here are some common percentage scenarios and how to solve them:

Finding the Percentage Given the Part and Whole

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Here is the proportion formula:

Part/Whole = Percentage/100

We will now demonstrate how to utilize proportion formula to calculate the percentage given a part and whole amount through an example determining what percent of 600 is 36.

What Percent of 600 is 36?

Step 1: Define the Unknown Variable

Let unknown variable x = the unknown percent we want to find..

Step 2: Set Up the Equation

Using the variable x, we can set up an equation with the information given:.

• The unknown variable x (Percentage) is the number we want to find.
• The Part is 36
• The Whole is 600

Substitute into the equation:

36/600 = x/100

Step 3: Solve the Equation

To isolate x, we can cross multiply as follows:

• Take the numerator of one side of the equation, which is 36
• Multiply it by the denominator of the other side of the equation, which is 100
• Set that equal to the numerator of the second half (x) multiplied by the denominator of the first half (600)

When written out, the cross multiplication looks like:

36 * 100 = x * 600

x * 600 = 36 * 100

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Then we can solve the resulting equation:

x * 600 = 3600

x = 6

Therefore, the answer is that 6% of 600 is 36.

Finding the Whole Given the Percentage and Part

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Here is the proportion formula:

Part/Whole = Percentage/100

We will now demonstrate how to utilize proportion formula to calculate the whole given the percentage and part through an example determining 36 is 6 Percent of What Number.

36 is 6 Percent of What Number?

Step 1: Define the Unknown Variable

Let unknown variable x = the unknown number we want to find.

Step 2: Set Up the Equation

Using the variable x, we can set up an equation with the information given:

• The unknown variable x ( Whole) is the number we want to find.
• The Part is 36
• The Percentage is 6

Substitute into the equation:

36/x = 6/100

Step 3: Solve the Equation

To isolate x, we can cross multiply as follows:

• Take the numerator of one side of the equation, which is 36
• Multiply it by the denominator of the other side of the equation, which is 100
• Set that equal to the numerator of the second half (6) multiplied by the denominator of the first half (x)

When written out, the cross multiplication looks like:

36 * 100 = 6 * x

x * 6 = 36 * 100

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Then we can solve the resulting equation:

x * 6 = 3600

x = 600

Therefore, the answer is that 36 is 6% of 600.

Common Percentage Calculations

Here is a quick reference table of some typical percentage calculations:

Calculation Formula Example Find what percentage a part is of a whole Part / Whole x 100% 36 / 600 x 100% = 6% Find what percentage a part is of a whole Part / Percentage 36 / 6% = 600 Find the part given the whole and percentage Whole x Percentage 600 * 6% =36

Having these common formulas memorized can make solving a variety of percentage problems quicker. When in doubt, break things down step-by-step into smaller pieces.

Standard Percentage of 600 Calculation Examples

5 Percent of 600 = 5/100 * 600 = 0.05 * 600 = 30

10 Percent of 600 = 10/100 * 600 = 0.1 * 600 = 60

15 Percent of 600 = 15/100 * 600 = 0.15 * 600 = 90

20 Percent of 600 = 20/100 * 600 = 0.2 * 600 = 120

25 Percent of 600 = 25/100 * 600 = 0.25 * 600 = 150

30 Percent of 600 = 30/100 * 600 = 0.3 * 600 = 180

35 Percent of 600 = 35/100 * 600 = 0.35 * 600 = 210

40 Percent of 600 = 40/100 * 600 = 0.4 * 600 = 240

45 Percent of 600 = 45/100 * 600 = 0.45 * 600 = 270

50 Percent of 600 = 50/100 * 600 = 0.5 * 600 = 300

55 Percent of 600 = 55/100 * 600 = 0.55 * 600 = 330

60 Percent of 600 = 60/100 * 600 = 0.6 * 600 = 360

65 Percent of 600 = 65/100 * 600 = 0.65 * 600 = 390

70 Percent of 600 = 70/100 * 600 = 0.7 * 600 = 420

75 Percent of 600 = 75/100 * 600 = 0.75 * 600 = 450

80 Percent of 600 = 80/100 * 600 = 0.8 * 600 = 480

85 Percent of 600 = 85/100 * 600 = 0.85 * 36 = 510

90 Percent of 600 = 90/100 * 600 = 0.9 * 600 = 540

95 Percent of 600 = 95/100 * 600 = 0.95 * 600 = 570

100 Percent of 600 = 100/100 * 600 = 1 * 600 = 600

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