Utilizing the “What is X Percent of Y Calculator”, we can compute that 20% of 1800 equals 360.

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Step-by-Step Solution: What is 20% of 1800?

Now that we know we want to find 20% of 1800, 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 20 percent of 1800 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 20%.

The whole is the total amount. In this case, the whole is 1800.

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

20% = 20/100 = 0.2

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

0.2 * 1800 = 360

Therefore, 20% of 1800 is 360.

Let’s look at this visually:

20% * 1800 = 20/100 * 1800 = 0.2 *1800 = 360

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 20% of 1800 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 20% of 1800. 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 20% of 1800
• The Whole is 1800
• The Percentage is 20

Substitute into the equation:

In this case, we can multiply both sides of the equation by 1800

1800 *x/1800 = 20/100 * 1800

x = 20 /100 * 1800 = 36000/100 = 360

Therefore, 20% of 1800 is 360.

Comparing the Methods

Both methods arrive at the same solution:

• Method 1 gets the solution by converting 20% to 0.2 and multiplying by 1800.
• 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 1800 is 360.

What Percent of 1800 is 360?

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 360
• The Whole is 1800

Substitute into the equation:

360/1800 = 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 360
• 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 (1800)

When written out, the cross multiplication looks like:

360 * 100 = x * 1800

x * 1800 = 360 * 100

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Then we can solve the resulting equation:

x * 1800 = 36000

x = 20

Therefore, the answer is that 20% of 1800 is 360.

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 360 is 20 Percent of What Number.

360 is 20 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 360
• The Percentage is 20

Substitute into the equation:

360/x = 20/100

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 360
• 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 (20) multiplied by the denominator of the first half (x)

When written out, the cross multiplication looks like:

360 * 100 = 20 * x

x * 20 = 360 * 100

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Then we can solve the resulting equation:

x * 20 = 36000

x = 1800

Therefore, the answer is that 360 is 20% of 1800.

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% 360 / 1800 x 100% = 20% Find what percentage a part is of a whole Part / Percentage 360 / 20% = 1800 Find the part given the whole and percentage Whole x Percentage 1800 * 20% =360

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 1800 Calculation Examples

5 Percent of 1800 = 5/100 * 1800 = 0.05 * 1800 = 90

10 Percent of 1800 = 10/100 * 1800 = 0.1 * 1800 = 180

15 Percent of 1800 = 15/100 * 1800 = 0.15 * 1800 = 270

20 Percent of 1800 = 20/100 * 1800 = 0.2 * 1800 = 360

25 Percent of 1800 = 25/100 * 1800 = 0.25 * 1800 = 450

30 Percent of 1800 = 30/100 * 1800 = 0.3 * 1800 = 540

35 Percent of 1800 = 35/100 * 1800 = 0.35 * 1800 = 630

40 Percent of 1800 = 40/100 * 1800 = 0.4 * 1800 = 720

45 Percent of 1800 = 45/100 * 1800 = 0.45 * 1800 = 810

50 Percent of 1800 = 50/100 * 1800 = 0.5 * 1800 = 900

55 Percent of 1800 = 55/100 * 1800 = 0.55 * 1800 = 990

60 Percent of 1800 = 60/100 * 1800 = 0.6 * 1800 = 1080

65 Percent of 1800 = 65/100 * 1800 = 0.65 * 1800 = 1170

70 Percent of 1800 = 70/100 * 1800 = 0.7 * 1800 = 1260

75 Percent of 1800 = 75/100 * 1800 = 0.75 * 1800 = 1350

80 Percent of 1800 = 80/100 * 1800 = 0.8 * 1800 = 1440

85 Percent of 1800 = 85/100 * 1800 = 0.85 * 360 = 1530

90 Percent of 1800 = 90/100 * 1800 = 0.9 * 1800 = 1620

95 Percent of 1800 = 95/100 * 1800 = 0.95 * 1800 = 1710

100 Percent of 1800 = 100/100 * 1800 = 1 * 1800 = 1800

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