9 is 75 Percent of What?

9 is 75 percent of what?

Answer: 9 is 75 percent of 12. Alternatively, we can say that 12 is the number of which 9 is equivalent to 75%.

Solution for 9 is 75 percent of what:

9 = 75% of n

9 = \frac{75}{100} \times n

9 \times \frac{100}{75} = n

n = 9 \times \frac{100}{75}

n = \frac{9 \times 100}{75}

n = \frac{900}{75}

n = 12

Now we have that 9 is 75% of 12. Alternatively, we can express it as 12 is the number of which 9 is 75%.

The step-by-step process for finding 9 is 75 percent of what:

The mathematical calculation of 9 is 75% of a number can be broken down as follows:

9 = 75% of n
Convert this into an equation: 9 = (75/100) * n
Rearrange the equation to solve for n: 9 * (100/75) = n
Simplify the equation further: n = 9 * (100/75) => (9 * 100)/75
Carry out the calculation: n = 900 / 75
The final answer is: n = 12

Thus, we conclude that 9 is 75 percent of 12.

Explanation for 9 is 75 percent of what:

Step 1: Set up the equation

We start with the equation 9 is 75% of what number (n). This can be written as:

9 = 75% of n

Think of percent as parts out of 100. So, when we say 75 percent, it's like having 75 parts out of a total of 100. What we want to do now is find out what the total would be if 9 was equivalent to 75 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. 75% becomes 75/100. This gives us:

9 = \frac{75}{100} \times n

This is like saying 9 is 75 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 (100/75):

n = 9 \times \frac{100}{75}

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 9 (our 9 parts) by (100/75) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

n = \frac{9 \times 100}{75}

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

n = \frac{900}{75}

n = 12

Finally, after dividing 900 by 75, we arrive at the answer: 12. Hence, we can definitively say that 9 is 75% of 12.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 9 is 75 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.