What is 5 percentage of 1330.2 (5% of 1330.2)?
is the 5 percent of 1330.2
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Steps to find the percentage of a number
Method 1: Using Proportions
Let's find 5% of 1330.2 using proportion.
5% is 5 out of 100.
\[ \frac{ 5 }{100} \]
Write the proportion to find x out of 1330.2.
\[ \frac{ 5 }{100} = \frac{x}{ 1330.2 } \]
Cross-multiply: 5 × 1330.2 = 100x
\[ 5 \cdot 1330.2 = 100x \]
Solve for x: (5 × 1330.2) ÷ 100 = x
\[ \frac{ 6651 }{100} = x \]
Hence, 5% of 1330.2 is 66.51.
Method 2: Keyword-Based
Use keywords: "of" means multiply.
Convert 5% to decimal: 0.05
\[ x = 1330.2 \cdot 0.05 \]
Multiply 1330.2 × 0.05 = 66.51
So, 5% of 1330.2 is 66.51.
Method 3: Formula-Based
Use the formula: percent × whole = part
Convert 5% to decimal: 0.05
\[ \text{Percentage} \cdot \text{Whole} = \text{Part} \]
1330.2 × 0.05 = 66.51
Thus, 5% of 1330.2 is 66.51.
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, 5% of 1330.2 = 1330.2 × 0.05 = 66.51.
What is 5 percent as a fraction?
5 percent is equal to 5/100, which simplifies to 1/20.
Can I use a calculator to find 5% of 1330.2?
Yes, simply enter 1330.2 × 0.05 into the calculator to get the answer: 66.51.
What is the formula for finding a percentage of a number?
The formula is: Part = (Percentage ÷ 100) × Whole. In this case: (5 ÷ 100) × 1330.2 = 66.51.
Is 5% of 1330.2 the same as 1330.2 ÷ 20?
Yes. Since 5% is 1/20, dividing 1330.2 by 20 gives the same result: 66.51.
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 5% = 5 ÷ 100 = 0.05.
What is the reverse of this? What percent is 66.51 of 1330.2?
To find what percent 66.51 is of 1330.2, use: (66.51 ÷ 1330.2) × 100 = 5%.
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.