5 is 6 Percent of What?

5 is 6 percent of what?

Answer: 5 is 6 percent of 83.333. Alternatively, we can say that 83.333 is the number of which 5 is equivalent to 6%.

Solution for 5 is 6 percent of what:

5 = 6% of n

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

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

n = 5 \times \frac{100}{6}

n = \frac{5 \times 100}{6}

n = \frac{500}{6}

n = 83.333

Now we have that 5 is 6% of 83.333. Alternatively, we can express it as 83.333 is the number of which 5 is 6%.

The step-by-step process for finding 5 is 6 percent of what:

The mathematical calculation of 5 is 6% of a number can be broken down as follows:

5 = 6% of n
Convert this into an equation: 5 = (6/100) * n
Rearrange the equation to solve for n: 5 * (100/6) = n
Simplify the equation further: n = 5 * (100/6) => (5 * 100)/6
Carry out the calculation: n = 500 / 6
The final answer is: n = 83.333

Thus, we conclude that 5 is 6 percent of 83.333.

Explanation for 5 is 6 percent of what:

Step 1: Set up the equation

We start with the equation 5 is 6% of what number (n). This can be written as:

5 = 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 5 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:

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

This is like saying 5 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 = 5 \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 5 (our 5 parts) by (100/6) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

n = \frac{5 \times 100}{6}

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

n = \frac{500}{6}

n = 83.333

Finally, after dividing 500 by 6, we arrive at the answer: 83.333. Hence, we can definitively say that 5 is 6% of 83.333.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 5 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.