What is 7 percentage of 360 (7% of 360)?
is the 7 percent of 360
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Steps to find the percentage of a number
Method 1: Using Proportions
Let's find 7% of 360 using proportion.
7% is 7 out of 100.
\[ \frac{ 7 }{100} \]
Write the proportion to find x out of 360.
\[ \frac{ 7 }{100} = \frac{x}{ 360 } \]
Cross-multiply: 7 × 360 = 100x
\[ 7 \cdot 360 = 100x \]
Solve for x: (7 × 360) ÷ 100 = x
\[ \frac{ 2520 }{100} = x \]
Hence, 7% of 360 is 25.2.
Method 2: Keyword-Based
Use keywords: "of" means multiply.
Convert 7% to decimal: 0.07
\[ x = 360 \cdot 0.07 \]
Multiply 360 × 0.07 = 25.2
So, 7% of 360 is 25.2.
Method 3: Formula-Based
Use the formula: percent × whole = part
Convert 7% to decimal: 0.07
\[ \text{Percentage} \cdot \text{Whole} = \text{Part} \]
360 × 0.07 = 25.2
Thus, 7% of 360 is 25.2.
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, 7% of 360 = 360 × 0.07 = 25.2.
What is 7 percent as a fraction?
7 percent is equal to 7/100, which simplifies to 7/100.
Can I use a calculator to find 7% of 360?
Yes, simply enter 360 × 0.07 into the calculator to get the answer: 25.2.
What is the formula for finding a percentage of a number?
The formula is: Part = (Percentage ÷ 100) × Whole. In this case: (7 ÷ 100) × 360 = 25.2.
Is 7% of 360 the same as 360 ÷ 14.29?
Yes. Since 7% is 7/100, dividing 360 by 14.29 gives the same result: 25.2.
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 7% = 7 ÷ 100 = 0.07.
What is the reverse of this? What percent is 25.2 of 360?
To find what percent 25.2 is of 360, use: (25.2 ÷ 360) × 100 = 7%.
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 360 (like 10%, 25%, 50%)?
Just multiply 360 by the decimal form of the percentage: 10% = 0.10 → 360 × 0.10 = 36; 25% = 0.25 → 360 × 0.25 = 90; 50% = 0.50 → 360 × 0.50 = 180.