What is 4 percentage of 900 (4% of 900)?
is the 4 percent of 900
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Steps to find the percentage of a number
Method 1: Using Proportions
Let's find 4% of 900 using proportion.
4% is 4 out of 100.
\[ \frac{ 4 }{100} \]
Write the proportion to find x out of 900.
\[ \frac{ 4 }{100} = \frac{x}{ 900 } \]
Cross-multiply: 4 × 900 = 100x
\[ 4 \cdot 900 = 100x \]
Solve for x: (4 × 900) ÷ 100 = x
\[ \frac{ 3600 }{100} = x \]
Hence, 4% of 900 is 36.
Method 2: Keyword-Based
Use keywords: "of" means multiply.
Convert 4% to decimal: 0.04
\[ x = 900 \cdot 0.04 \]
Multiply 900 × 0.04 = 36
So, 4% of 900 is 36.
Method 3: Formula-Based
Use the formula: percent × whole = part
Convert 4% to decimal: 0.04
\[ \text{Percentage} \cdot \text{Whole} = \text{Part} \]
900 × 0.04 = 36
Thus, 4% of 900 is 36.
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, 4% of 900 = 900 × 0.04 = 36.
What is 4 percent as a fraction?
4 percent is equal to 4/100, which simplifies to 1/25.
Can I use a calculator to find 4% of 900?
Yes, simply enter 900 × 0.04 into the calculator to get the answer: 36.
What is the formula for finding a percentage of a number?
The formula is: Part = (Percentage ÷ 100) × Whole. In this case: (4 ÷ 100) × 900 = 36.
Is 4% of 900 the same as 900 ÷ 25?
Yes. Since 4% is 1/25, dividing 900 by 25 gives the same result: 36.
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 4% = 4 ÷ 100 = 0.04.
What is the reverse of this? What percent is 36 of 900?
To find what percent 36 is of 900, use: (36 ÷ 900) × 100 = 4%.
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 900 (like 10%, 25%, 50%)?
Just multiply 900 by the decimal form of the percentage: 10% = 0.10 → 900 × 0.10 = 90; 25% = 0.25 → 900 × 0.25 = 225; 50% = 0.50 → 900 × 0.50 = 450.