What is 24 Percent of 1200?

What is 24 percent of 1200?

Answer: 24 percent of 1200 is 288. Alternatively, we can say that 288 is equivalent to 24% of 1200.

Solution for What is 24 percent of 1200:

n = 24 percent of 1200

n = 24 % * 1200

n = \frac{24}{100} * 1200

n = \frac{24 * 1200}{100}

n = \frac{28800}{100}

n = 288

Now we have 24% of 1200 = 288. Alternatively, we can express it as 24 percent of 1200 equals 288.

The step-by-step process for finding what is 24 percent of 1200:

The mathematical calculation of 24% of 1200 can be broken down as follows:

24 percent * 1200
Convert this into an equation: (24 / 100) * 1200
Simplify the equation further: (24 * 1200) / 100
Carry out the calculation: 28800 / 100
The final answer is: 288

Thus, we conclude that 24% of 1200 is 288.

Explanation for What is 24% of 1200:

Step 1: **24 percent * 1200**

Think of percent as parts out of 100. So, when we say 24 percent, it's like having 24 parts out of a total of 100. What we want to do now is find out what those 24 parts would be if our total was 1200 instead of 100.

Step 2: **(24 / 100) * 1200**

This is like dividing our 24 parts into 100. It's as if we have 100 pieces of candy and we only want 24 of those pieces. That gives us 0.24 or 24 hundredths. Now we multiply those 24 parts (or 0.24) by 1200 to find out what 24% of 1200 would be.

Step 3: **(24 * 1200) / 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 24 (our 24 parts) by 1200 (our total amount), and then we divide that by 100.

Step 4: 28800 / 100

The previous step gave us 28800. 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 1200. That's why we divide 28800 by 100.

Step 5: 288

Finally, after dividing 28800 by 100, we arrive at the answer: 288. Hence, we can definitively say that 24% of 1200 equals 288.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 24% of 1200?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.