What is 63 Percent of 1200?

What is 63 percent of 1200?

Answer: 63 percent of 1200 is 756. Alternatively, we can say that 756 is equivalent to 63% of 1200.

Solution for What is 63 percent of 1200:

n = 63 percent of 1200

n = 63 % * 1200

n = \frac{63}{100} * 1200

n = \frac{63 * 1200}{100}

n = \frac{75600}{100}

n = 756

Now we have 63% of 1200 = 756. Alternatively, we can express it as 63 percent of 1200 equals 756.

The step-by-step process for finding what is 63 percent of 1200:

The mathematical calculation of 63% of 1200 can be broken down as follows:

63 percent * 1200
Convert this into an equation: (63 / 100) * 1200
Simplify the equation further: (63 * 1200) / 100
Carry out the calculation: 75600 / 100
The final answer is: 756

Thus, we conclude that 63% of 1200 is 756.

Explanation for What is 63% of 1200:

Step 1: **63 percent * 1200**

Think of percent as parts out of 100. So, when we say 63 percent, it's like having 63 parts out of a total of 100. What we want to do now is find out what those 63 parts would be if our total was 1200 instead of 100.

Step 2: **(63 / 100) * 1200**

This is like dividing our 63 parts into 100. It's as if we have 100 pieces of candy and we only want 63 of those pieces. That gives us 0.63 or 63 hundredths. Now we multiply those 63 parts (or 0.63) by 1200 to find out what 63% of 1200 would be.

Step 3: **(63 * 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 63 (our 63 parts) by 1200 (our total amount), and then we divide that by 100.

Step 4: 75600 / 100

The previous step gave us 75600. 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 75600 by 100.

Step 5: 756

Finally, after dividing 75600 by 100, we arrive at the answer: 756. Hence, we can definitively say that 63% of 1200 equals 756.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 63% 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.