What is 30 Percent of 500? = 150 [With 2 Solutions]

Utilizing the “What is X Percent of Y Calculator”, we can compute that 30% of 500 equals 150.

Tips: Directly enter the numerical values. The calculator will automatically calculate the result.

Step-by-Step Solution: What is 30% of 500?

Now that we know we want to find 30% of 500, 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 30 percent of 500 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 30%.

The whole is the total amount. In this case, the whole is 500.

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

30% = 30/100 = 0.3

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

0.3 * 500 = 150

Therefore, 30% of 500 is 150.

Let’s look at this visually:

30% * 500 = 30/100 * 500 = 0.3 *500 = 150

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 30% of 500 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 30% of 500. 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 30% of 500
• The Whole is 500
• The Percentage is 30

Substitute into the equation:

In this case, we can multiply both sides of the equation by 500

500 *x/500 = 30/100 * 500

x = 30 /100 * 500 = 15000/100 = 150

Therefore, 30% of 500 is 150.

Comparing the Methods

Both methods arrive at the same solution:

• Method 1 gets the solution by converting 30% to 0.3 and multiplying by 500.
• 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

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 500 is 150.

What Percent of 500 is 150?

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 150
• The Whole is 500

Substitute into the equation:

150/500 = 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 150
• 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 (500)

When written out, the cross multiplication looks like:

150 * 100 = x * 500

x * 500 = 150 * 100

Then we can solve the resulting equation:

x * 500 = 15000

x = 30

Therefore, the answer is that 30% of 500 is 150.

Finding the Whole Given the Percentage and Part

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 150 is 30 Percent of What Number.

150 is 30 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 150
• The Percentage is 30

Substitute into the equation:

150/x = 30/100

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 150
• 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 (30) multiplied by the denominator of the first half (x)

When written out, the cross multiplication looks like:

150 * 100 = 30 * x

x * 30 = 150 * 100

Then we can solve the resulting equation:

x * 30 = 15000

x = 500

Therefore, the answer is that 150 is 30% of 500.

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%	150 / 500 x 100% = 30%
Find what percentage a part is of a whole	Part / Percentage	150 / 30% = 500
Find the part given the whole and percentage	Whole x Percentage	500 * 30% =150

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 500 Calculation Examples

5 Percent of 500 = 5/100 * 500 = 0.05 * 500 = 25

10 Percent of 500 = 10/100 * 500 = 0.1 * 500 = 50

15 Percent of 500 = 15/100 * 500 = 0.15 * 500 = 75

20 Percent of 500 = 20/100 * 500 = 0.2 * 500 = 100

25 Percent of 500 = 25/100 * 500 = 0.25 * 500 = 125

30 Percent of 500 = 30/100 * 500 = 0.3 * 500 = 150

35 Percent of 500 = 35/100 * 500 = 0.35 * 500 = 175

40 Percent of 500 = 40/100 * 500 = 0.4 * 500 = 200

45 Percent of 500 = 45/100 * 500 = 0.45 * 500 = 225

50 Percent of 500 = 50/100 * 500 = 0.5 * 500 = 250

55 Percent of 500 = 55/100 * 500 = 0.55 * 500 = 275

60 Percent of 500 = 60/100 * 500 = 0.6 * 500 = 300

65 Percent of 500 = 65/100 * 500 = 0.65 * 500 = 325

70 Percent of 500 = 70/100 * 500 = 0.7 * 500 = 350

75 Percent of 500 = 75/100 * 500 = 0.75 * 500 = 375

80 Percent of 500 = 80/100 * 500 = 0.8 * 500 = 400

85 Percent of 500 = 85/100 * 500 = 0.85 * 150 = 425

90 Percent of 500 = 90/100 * 500 = 0.9 * 500 = 450

95 Percent of 500 = 95/100 * 500 = 0.95 * 500 = 475

100 Percent of 500 = 100/100 * 500 = 1 * 500 = 500