What is 13 Percent of 400?

What is 13 percent of 400?

Answer: 13 percent of 400 is 52. Alternatively, we can say that 52 is equivalent to 13% of 400.

Solution for What is 13 percent of 400:

n = 13 percent of 400

n = 13 % * 400

n = \frac{13}{100} * 400

n = \frac{13 * 400}{100}

n = \frac{5200}{100}

n = 52

Now we have 13% of 400 = 52. Alternatively, we can express it as 13 percent of 400 equals 52.

The step-by-step process for finding what is 13 percent of 400:

The mathematical calculation of 13% of 400 can be broken down as follows:

13 percent * 400
Convert this into an equation: (13 / 100) * 400
Simplify the equation further: (13 * 400) / 100
Carry out the calculation: 5200 / 100
The final answer is: 52

Thus, we conclude that 13% of 400 is 52.

Explanation for What is 13% of 400:

Step 1: **13 percent * 400**

Think of percent as parts out of 100. So, when we say 13 percent, it's like having 13 parts out of a total of 100. What we want to do now is find out what those 13 parts would be if our total was 400 instead of 100.

Step 2: **(13 / 100) * 400**

This is like dividing our 13 parts into 100. It's as if we have 100 pieces of candy and we only want 13 of those pieces. That gives us 0.13 or 13 hundredths. Now we multiply those 13 parts (or 0.13) by 400 to find out what 13% of 400 would be.

Step 3: **(13 * 400) / 100**

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 13 (our 13 parts) by 400 (our total amount), and then we divide that by 100.

Step 4: 5200 / 100

The previous step gave us 5200. But remember we were pretending our total was 100? Now we have to divide by 100 to get back to the number for our real total, which is 400. That's why we divide 5200 by 100.

Step 5: 52

Finally, after dividing 5200 by 100, we arrive at the answer: 52. Hence, we can definitively say that 13% of 400 equals 52.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 13% of 400?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.