What is 22.5 Percent of 1200?

What is 22.5 percent of 1200?

Answer: 22.5 percent of 1200 is 270. Alternatively, we can say that 270 is equivalent to 22.5% of 1200.

Solution for What is 22.5 percent of 1200:

n = 22.5 percent of 1200

n = 22.5 % * 1200

n = \frac{22.5}{100} * 1200

n = \frac{22.5 * 1200}{100}

n = \frac{27000}{100}

n = 270

Now we have 22.5% of 1200 = 270. Alternatively, we can express it as 22.5 percent of 1200 equals 270.

The step-by-step process for finding what is 22.5 percent of 1200:

The mathematical calculation of 22.5% of 1200 can be broken down as follows:

22.5 percent * 1200
Convert this into an equation: (22.5 / 100) * 1200
Simplify the equation further: (22.5 * 1200) / 100
Carry out the calculation: 27000 / 100
The final answer is: 270

Thus, we conclude that 22.5% of 1200 is 270.

Explanation for What is 22.5% of 1200:

Step 1: **22.5 percent * 1200**

Think of percent as parts out of 100. So, when we say 22.5 percent, it's like having 22.5 parts out of a total of 100. What we want to do now is find out what those 22.5 parts would be if our total was 1200 instead of 100.

Step 2: **(22.5 / 100) * 1200**

This is like dividing our 22.5 parts into 100. It's as if we have 100 pieces of candy and we only want 22.5 of those pieces. That gives us 0.22.5 or 22.5 hundredths. Now we multiply those 22.5 parts (or 0.22.5) by 1200 to find out what 22.5% of 1200 would be.

Step 3: **(22.5 * 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 22.5 (our 22.5 parts) by 1200 (our total amount), and then we divide that by 100.

Step 4: 27000 / 100

The previous step gave us 27000. 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 27000 by 100.

Step 5: 270

Finally, after dividing 27000 by 100, we arrive at the answer: 270. Hence, we can definitively say that 22.5% of 1200 equals 270.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 22.5% 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.