What is 1 percentage of 164 (1% of 164)?
is the 1 percent of 164
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Steps to find the percentage of a number
Method 1: Using Proportions
Let's find 1% of 164 using proportion.
1% is 1 out of 100.
\[ \frac{ 1 }{100} \]
Write the proportion to find x out of 164.
\[ \frac{ 1 }{100} = \frac{x}{ 164 } \]
Cross-multiply: 1 × 164 = 100x
\[ 1 \cdot 164 = 100x \]
Solve for x: (1 × 164) ÷ 100 = x
\[ \frac{ 164 }{100} = x \]
Hence, 1% of 164 is 1.64.
Method 2: Keyword-Based
Use keywords: "of" means multiply.
Convert 1% to decimal: 0.01
\[ x = 164 \cdot 0.01 \]
Multiply 164 × 0.01 = 1.64
So, 1% of 164 is 1.64.
Method 3: Formula-Based
Use the formula: percent × whole = part
Convert 1% to decimal: 0.01
\[ \text{Percentage} \cdot \text{Whole} = \text{Part} \]
164 × 0.01 = 1.64
Thus, 1% of 164 is 1.64.
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, 1% of 164 = 164 × 0.01 = 1.64.
What is 1 percent as a fraction?
1 percent is equal to 1/100, which simplifies to 1/100.
Can I use a calculator to find 1% of 164?
Yes, simply enter 164 × 0.01 into the calculator to get the answer: 1.64.
What is the formula for finding a percentage of a number?
The formula is: Part = (Percentage ÷ 100) × Whole. In this case: (1 ÷ 100) × 164 = 1.64.
Is 1% of 164 the same as 164 ÷ 100?
Yes. Since 1% is 1/100, dividing 164 by 100 gives the same result: 1.64.
How do I convert a percentage to a decimal?
Divide the percentage by 100. For example, 1% = 1 ÷ 100 = 0.01.
What is the reverse of this? What percent is 1.64 of 164?
To find what percent 1.64 is of 164, use: (1.64 ÷ 164) × 100 = 1%.
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 164 (like 10%, 25%, 50%)?
Just multiply 164 by the decimal form of the percentage: 10% = 0.10 → 164 × 0.10 = 16.4; 25% = 0.25 → 164 × 0.25 = 41; 50% = 0.50 → 164 × 0.50 = 82.