3 is 2 Percent of What?

3 is 2 percent of what?

Answer: 3 is 2 percent of 150. Alternatively, we can say that 150 is the number of which 3 is equivalent to 2%.

Solution for 3 is 2 percent of what:

3 = 2% of n

3 = \frac{2}{100} \times n

3 \times \frac{100}{2} = n

n = 3 \times \frac{100}{2}

n = \frac{3 \times 100}{2}

n = \frac{300}{2}

n = 150

Now we have that 3 is 2% of 150. Alternatively, we can express it as 150 is the number of which 3 is 2%.

The step-by-step process for finding 3 is 2 percent of what:

The mathematical calculation of 3 is 2% of a number can be broken down as follows:

3 = 2% of n
Convert this into an equation: 3 = (2/100) * n
Rearrange the equation to solve for n: 3 * (100/2) = n
Simplify the equation further: n = 3 * (100/2) => (3 * 100)/2
Carry out the calculation: n = 300 / 2
The final answer is: n = 150

Thus, we conclude that 3 is 2 percent of 150.

Explanation for 3 is 2 percent of what:

Step 1: Set up the equation

We start with the equation 3 is 2% of what number (n). This can be written as:

3 = 2% of n

Think of percent as parts out of 100. So, when we say 2 percent, it's like having 2 parts out of a total of 100. What we want to do now is find out what the total would be if 3 was equivalent to 2 parts instead of 100.

Step 2: Convert the percentage to a fraction and set up the equation

Next, we convert the percentage to a fraction and set up the equation. 2% becomes 2/100. This gives us:

3 = \frac{2}{100} \times n

This is like saying 3 is 2 parts (out of 100) of a total (n). We want to find out what that total (n) is.

Step 3: Rearrange the equation to solve for n

To solve for n, we need to get n on one side of the equation by itself. We can do this by multiplying both sides of the equation by (100/2):

n = 3 \times \frac{100}{2}

This is an alternative calculation. Instead of doing it in two steps like we did before, we can also do it in one step. First, we multiply 3 (our 3 parts) by (100/2) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

n = \frac{3 \times 100}{2}

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

n = \frac{300}{2}

n = 150

Finally, after dividing 300 by 2, we arrive at the answer: 150. Hence, we can definitively say that 3 is 2% of 150.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 3 is 2 percent of what. Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.