What is 20 Percent of 6400?

What is 20 percent of 6400?

Answer: 20 percent of 6400 is 1280. Alternatively, we can say that 1280 is equivalent to 20% of 6400.

Solution for What is 20 percent of 6400:

n = 20 percent of 6400

n = 20 % * 6400

n = \frac{20}{100} * 6400

n = \frac{20 * 6400}{100}

n = \frac{128000}{100}

n = 1280

Now we have 20% of 6400 = 1280. Alternatively, we can express it as 20 percent of 6400 equals 1280.

The step-by-step process for finding what is 20 percent of 6400:

The mathematical calculation of 20% of 6400 can be broken down as follows:

20 percent * 6400
Convert this into an equation: (20 / 100) * 6400
Simplify the equation further: (20 * 6400) / 100
Carry out the calculation: 128000 / 100
The final answer is: 1280

Thus, we conclude that 20% of 6400 is 1280.

Explanation for What is 20% of 6400:

Step 1: **20 percent * 6400**

Think of percent as parts out of 100. So, when we say 20 percent, it's like having 20 parts out of a total of 100. What we want to do now is find out what those 20 parts would be if our total was 6400 instead of 100.

Step 2: **(20 / 100) * 6400**

This is like dividing our 20 parts into 100. It's as if we have 100 pieces of candy and we only want 20 of those pieces. That gives us 0.20 or 20 hundredths. Now we multiply those 20 parts (or 0.20) by 6400 to find out what 20% of 6400 would be.

Step 3: **(20 * 6400) / 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 20 (our 20 parts) by 6400 (our total amount), and then we divide that by 100.

Step 4: 128000 / 100

The previous step gave us 128000. 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 6400. That's why we divide 128000 by 100.

Step 5: 1280

Finally, after dividing 128000 by 100, we arrive at the answer: 1280. Hence, we can definitively say that 20% of 6400 equals 1280.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 20% of 6400?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.