27 is 10 Percent of What?

27 is 10 percent of what?

Answer: 27 is 10 percent of 270. Alternatively, we can say that 270 is the number of which 27 is equivalent to 10%.

Solution for 27 is 10 percent of what:

27 = 10% of n

27 = \frac{10}{100} \times n

27 \times \frac{100}{10} = n

n = 27 \times \frac{100}{10}

n = \frac{27 \times 100}{10}

n = \frac{2700}{10}

n = 270

Now we have that 27 is 10% of 270. Alternatively, we can express it as 270 is the number of which 27 is 10%.

The step-by-step process for finding 27 is 10 percent of what:

The mathematical calculation of 27 is 10% of a number can be broken down as follows:

27 = 10% of n
Convert this into an equation: 27 = (10/100) * n
Rearrange the equation to solve for n: 27 * (100/10) = n
Simplify the equation further: n = 27 * (100/10) => (27 * 100)/10
Carry out the calculation: n = 2700 / 10
The final answer is: n = 270

Thus, we conclude that 27 is 10 percent of 270.

Explanation for 27 is 10 percent of what:

Step 1: Set up the equation

We start with the equation 27 is 10% of what number (n). This can be written as:

27 = 10% of n

Think of percent as parts out of 100. So, when we say 10 percent, it's like having 10 parts out of a total of 100. What we want to do now is find out what the total would be if 27 was equivalent to 10 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. 10% becomes 10/100. This gives us:

27 = \frac{10}{100} \times n

This is like saying 27 is 10 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 (100/10):

n = 27 \times \frac{100}{10}

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 27 (our 27 parts) by (100/10) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

n = \frac{27 \times 100}{10}

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

n = \frac{2700}{10}

n = 270

Finally, after dividing 2700 by 10, we arrive at the answer: 270. Hence, we can definitively say that 27 is 10% of 270.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 27 is 10 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.