What is 8 percentage of 1330.2 (8% of 1330.2)?
is the 8 percent of 1330.2
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Steps to find the percentage of a number
Method 1: Using Proportions
Let's find 8% of 1330.2 using proportion.
8% is 8 out of 100.
\[ \frac{ 8 }{100} \]
Write the proportion to find x out of 1330.2.
\[ \frac{ 8 }{100} = \frac{x}{ 1330.2 } \]
Cross-multiply: 8 × 1330.2 = 100x
\[ 8 \cdot 1330.2 = 100x \]
Solve for x: (8 × 1330.2) ÷ 100 = x
\[ \frac{ 10641.6 }{100} = x \]
Hence, 8% of 1330.2 is 106.416.
Method 2: Keyword-Based
Use keywords: "of" means multiply.
Convert 8% to decimal: 0.08
\[ x = 1330.2 \cdot 0.08 \]
Multiply 1330.2 × 0.08 = 106.416
So, 8% of 1330.2 is 106.416.
Method 3: Formula-Based
Use the formula: percent × whole = part
Convert 8% to decimal: 0.08
\[ \text{Percentage} \cdot \text{Whole} = \text{Part} \]
1330.2 × 0.08 = 106.416
Thus, 8% of 1330.2 is 106.416.
Frequently Asked Questions
How do you calculate a percentage of a number?
To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, 8% of 1330.2 = 1330.2 × 0.08 = 106.416.
What is 8 percent as a fraction?
8 percent is equal to 8/100, which simplifies to 2/25.
Can I use a calculator to find 8% of 1330.2?
Yes, simply enter 1330.2 × 0.08 into the calculator to get the answer: 106.416.
What is the formula for finding a percentage of a number?
The formula is: Part = (Percentage ÷ 100) × Whole. In this case: (8 ÷ 100) × 1330.2 = 106.416.
Is 8% of 1330.2 the same as 1330.2 ÷ 12.5?
Yes. Since 8% is 2/25, dividing 1330.2 by 12.5 gives the same result: 106.416.
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 8% = 8 ÷ 100 = 0.08.
What is the reverse of this? What percent is 106.416 of 1330.2?
To find what percent 106.416 is of 1330.2, use: (106.416 ÷ 1330.2) × 100 = 8%.
Can percentages be greater than 100%?
Yes, a percentage greater than 100% means the value exceeds the whole. For example, 150% of 100 is 150.
Why is understanding percentages important?
Percentages are used in daily life for discounts, interest rates, statistics, budgeting, and comparisons.
How can I find other percentages of 1330.2 (like 10%, 25%, 50%)?
Just multiply 1330.2 by the decimal form of the percentage: 10% = 0.10 → 1330.2 × 0.10 = 133.02; 25% = 0.25 → 1330.2 × 0.25 = 332.55; 50% = 0.50 → 1330.2 × 0.50 = 665.1.