What is 10 percentage of 3 (10% of 3)?
is the 10 percent of 3
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Steps to find the percentage of a number
Method 1: Using Proportions
Let's find 10% of 3 using proportion.
10% is 10 out of 100.
\[ \frac{ 10 }{100} \]
Write the proportion to find x out of 3.
\[ \frac{ 10 }{100} = \frac{x}{ 3 } \]
Cross-multiply: 10 × 3 = 100x
\[ 10 \cdot 3 = 100x \]
Solve for x: (10 × 3) ÷ 100 = x
\[ \frac{ 30 }{100} = x \]
Hence, 10% of 3 is 0.3.
Method 2: Keyword-Based
Use keywords: "of" means multiply.
Convert 10% to decimal: 0.1
\[ x = 3 \cdot 0.1 \]
Multiply 3 × 0.1 = 0.3
So, 10% of 3 is 0.3.
Method 3: Formula-Based
Use the formula: percent × whole = part
Convert 10% to decimal: 0.1
\[ \text{Percentage} \cdot \text{Whole} = \text{Part} \]
3 × 0.1 = 0.3
Thus, 10% of 3 is 0.3.
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, 10% of 3 = 3 × 0.1 = 0.3.
What is 10 percent as a fraction?
10 percent is equal to 10/100, which simplifies to 1/10.
Can I use a calculator to find 10% of 3?
Yes, simply enter 3 × 0.1 into the calculator to get the answer: 0.3.
What is the formula for finding a percentage of a number?
The formula is: Part = (Percentage ÷ 100) × Whole. In this case: (10 ÷ 100) × 3 = 0.3.
Is 10% of 3 the same as 3 ÷ 10?
Yes. Since 10% is 1/10, dividing 3 by 10 gives the same result: 0.3.
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 10% = 10 ÷ 100 = 0.1.
What is the reverse of this? What percent is 0.3 of 3?
To find what percent 0.3 is of 3, use: (0.3 ÷ 3) × 100 = 10%.
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 3 (like 10%, 25%, 50%)?
Just multiply 3 by the decimal form of the percentage: 10% = 0.10 → 3 × 0.10 = 0.3; 25% = 0.25 → 3 × 0.25 = 0.75; 50% = 0.50 → 3 × 0.50 = 1.5.