What is 42 percentage of 1330.6 (42% of 1330.6)?
is the 42 percent of 1330.6
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Steps to find the percentage of a number
Method 1: Using Proportions
Let's find 42% of 1330.6 using proportion.
42% is 42 out of 100.
\[ \frac{ 42 }{100} \]
Write the proportion to find x out of 1330.6.
\[ \frac{ 42 }{100} = \frac{x}{ 1330.6 } \]
Cross-multiply: 42 × 1330.6 = 100x
\[ 42 \cdot 1330.6 = 100x \]
Solve for x: (42 × 1330.6) ÷ 100 = x
\[ \frac{ 55885.2 }{100} = x \]
Hence, 42% of 1330.6 is 558.852.
Method 2: Keyword-Based
Use keywords: "of" means multiply.
Convert 42% to decimal: 0.42
\[ x = 1330.6 \cdot 0.42 \]
Multiply 1330.6 × 0.42 = 558.852
So, 42% of 1330.6 is 558.852.
Method 3: Formula-Based
Use the formula: percent × whole = part
Convert 42% to decimal: 0.42
\[ \text{Percentage} \cdot \text{Whole} = \text{Part} \]
1330.6 × 0.42 = 558.852
Thus, 42% of 1330.6 is 558.852.
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, 42% of 1330.6 = 1330.6 × 0.42 = 558.852.
What is 42 percent as a fraction?
42 percent is equal to 42/100, which simplifies to 21/50.
Can I use a calculator to find 42% of 1330.6?
Yes, simply enter 1330.6 × 0.42 into the calculator to get the answer: 558.852.
What is the formula for finding a percentage of a number?
The formula is: Part = (Percentage ÷ 100) × Whole. In this case: (42 ÷ 100) × 1330.6 = 558.852.
Is 42% of 1330.6 the same as 1330.6 ÷ 2.38?
Yes. Since 42% is 21/50, dividing 1330.6 by 2.38 gives the same result: 558.852.
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 42% = 42 ÷ 100 = 0.42.
What is the reverse of this? What percent is 558.852 of 1330.6?
To find what percent 558.852 is of 1330.6, use: (558.852 ÷ 1330.6) × 100 = 42%.
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 1330.6 (like 10%, 25%, 50%)?
Just multiply 1330.6 by the decimal form of the percentage: 10% = 0.10 → 1330.6 × 0.10 = 133.06; 25% = 0.25 → 1330.6 × 0.25 = 332.65; 50% = 0.50 → 1330.6 × 0.50 = 665.3.