What is 25 Percent of 1600?

What is 25 percent of 1600?

Answer: 25 percent of 1600 is 400. Alternatively, we can say that 400 is equivalent to 25% of 1600.

Solution for What is 25 percent of 1600:

n = 25 percent of 1600

n = 25 % * 1600

n = \frac{25}{100} * 1600

n = \frac{25 * 1600}{100}

n = \frac{40000}{100}

n = 400

Now we have 25% of 1600 = 400. Alternatively, we can express it as 25 percent of 1600 equals 400.

The step-by-step process for finding what is 25 percent of 1600:

The mathematical calculation of 25% of 1600 can be broken down as follows:

25 percent * 1600
Convert this into an equation: (25 / 100) * 1600
Simplify the equation further: (25 * 1600) / 100
Carry out the calculation: 40000 / 100
The final answer is: 400

Thus, we conclude that 25% of 1600 is 400.

Explanation for What is 25% of 1600:

Step 1: **25 percent * 1600**

Think of percent as parts out of 100. So, when we say 25 percent, it's like having 25 parts out of a total of 100. What we want to do now is find out what those 25 parts would be if our total was 1600 instead of 100.

Step 2: **(25 / 100) * 1600**

This is like dividing our 25 parts into 100. It's as if we have 100 pieces of candy and we only want 25 of those pieces. That gives us 0.25 or 25 hundredths. Now we multiply those 25 parts (or 0.25) by 1600 to find out what 25% of 1600 would be.

Step 3: **(25 * 1600) / 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 25 (our 25 parts) by 1600 (our total amount), and then we divide that by 100.

Step 4: 40000 / 100

The previous step gave us 40000. 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 1600. That's why we divide 40000 by 100.

Step 5: 400

Finally, after dividing 40000 by 100, we arrive at the answer: 400. Hence, we can definitively say that 25% of 1600 equals 400.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 25% of 1600?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.