4 is 6 Percent of What?

4 is 6 percent of what?

Answer: 4 is 6 percent of 66.667. Alternatively, we can say that 66.667 is the number of which 4 is equivalent to 6%.

Solution for 4 is 6 percent of what:

4 = 6% of n

4 = \frac{6}{100} \times n

4 \times \frac{100}{6} = n

n = 4 \times \frac{100}{6}

n = \frac{4 \times 100}{6}

n = \frac{400}{6}

n = 66.667

Now we have that 4 is 6% of 66.667. Alternatively, we can express it as 66.667 is the number of which 4 is 6%.

The step-by-step process for finding 4 is 6 percent of what:

The mathematical calculation of 4 is 6% of a number can be broken down as follows:

4 = 6% of n
Convert this into an equation: 4 = (6/100) * n
Rearrange the equation to solve for n: 4 * (100/6) = n
Simplify the equation further: n = 4 * (100/6) => (4 * 100)/6
Carry out the calculation: n = 400 / 6
The final answer is: n = 66.667

Thus, we conclude that 4 is 6 percent of 66.667.

Explanation for 4 is 6 percent of what:

Step 1: Set up the equation

We start with the equation 4 is 6% of what number (n). This can be written as:

4 = 6% of n

Think of percent as parts out of 100. So, when we say 6 percent, it's like having 6 parts out of a total of 100. What we want to do now is find out what the total would be if 4 was equivalent to 6 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. 6% becomes 6/100. This gives us:

4 = \frac{6}{100} \times n

This is like saying 4 is 6 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 (100/6):

n = 4 \times \frac{100}{6}

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 4 (our 4 parts) by (100/6) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

n = \frac{4 \times 100}{6}

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

n = \frac{400}{6}

n = 66.667

Finally, after dividing 400 by 6, we arrive at the answer: 66.667. Hence, we can definitively say that 4 is 6% of 66.667.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 4 is 6 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.